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The Resource The Maz'ya Anniversary Collection : Volume 1: On Maz'ya's work in functional analysis, partial differential equations and applications, edited by Jürgen Rossmann, Peter Takáč, Günther Wildenhain, (electronic resource)
The Maz'ya Anniversary Collection : Volume 1: On Maz'ya's work in functional analysis, partial differential equations and applications, edited by Jürgen Rossmann, Peter Takáč, Günther Wildenhain, (electronic resource)
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The item The Maz'ya Anniversary Collection : Volume 1: On Maz'ya's work in functional analysis, partial differential equations and applications, edited by Jürgen Rossmann, Peter Takáč, Günther Wildenhain, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
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The item The Maz'ya Anniversary Collection : Volume 1: On Maz'ya's work in functional analysis, partial differential equations and applications, edited by Jürgen Rossmann, Peter Takáč, Günther Wildenhain, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 This is the first volume of a collection of articles dedicated to V.G Maz'ya on the occasion of his 60th birthday. It contains surveys on his work in different fields of mathematics or on areas to which he made essential contributions. Other articles of this book have their origin in the common work with Maz'ya. V.G Maz'ya is author or coauthor of more than 300 scientific works on various fields of functional analysis, function theory, numerical analysis, partial differential equations and their application. The reviews in this book show his enormous productivity and the large variety of his work. The scond volume contains most of the invited lectures of the Conference on Functional Analysis, Partial Differential Equations and Applications held in Rostock in September 1998 in honor of V.G Maz'ya. Here different problems of functional analysis, potential theory, linear and nonlinear partial differential equations, theory of function spaces and numerical analysis are treated. The authors, who are outstanding experts in these fields, present surveys as well as new results
 Language
 eng
 Extent
 1 online resource (364 pages).
 Contents

 Vladimir Maz'ya: Friend and mathematician. Recollections
 On Maz'ya's work in potential theory and the theory of function spaces
 1. Introduction
 2. Embeddings and isoperimetric inequalities
 3. Regularity of solutions
 4. Boundary regularity
 5. Nonlinear potential theory
 Maz'ya's works in the linear theory of water waves
 1. Introduction
 2. The unique solvability of the water wave problem
 3. The NeumannKelvin problem
 4. Asymptotic expansions for transient water waves due to brief and highfrequency disturbances
 Maz'ya's work on integral and pseudodifferential operators
 1. Nonelliptic operators
 2. Oblique derivative problem: breakthrough in the generic case of degeneration
 3. Estimates for differential operators in the halfspace
 4. The characteristic Cauchy problem for hyperbolic equations
 5. New methods for solving illposed boundary value problems
 6. Applications of multiplier theory to integral operators
 7. Integral equations of harmonic potential theory on general nonregular surfaces
 8. Boundary integral equations on piecewise smooth surfaces
 Contributions of V. Maz'ya to the theory of boundary value problems in nonsmooth domains
 1. Maz'ya's early work on boundary value problems in nonsmooth domains
 2. General elliptic boundary value problems in domains with point singularities
 3. Boundary value problems in domains with edges
 4. Spectral properties of operator pencils generated by elliptic boundary value problems in a cone
 5. Applications to elastostatics and hydrodynamics
 6. Singularities of solutions to nonlinear elliptic equations at a cone vertex
 On some potential theoretic themes in function theory
 1. Approximation theory
 2. Uniqueness properties of analytic functions
 3. The Cauchy problem for the Laplace equation
 Approximate approximations and their applications
 1. Introduction
 2. Quasiinterpolation
 3. Generating functions for quasiinterpolation of high order
 4. Semianalytic cubature formulas
 5. Cubature of integral operators over bounded domains
 6. Approximate wavelets
 7. Numerical algorithms based upon approximate approximations
 Maz'ya's work on the biography of Hadamard
 Isoperimetric inequalities and capacities on Riemannian manifolds
 1. Introduction
 2. Capacity of balls
 3. Parabolicity of manifolds
 4. Isoperimetric inequality and Sobolev inequality
 5. Capacity and the principal frequency
 6. Cheeger's inequality
 7. Eigenvalues of balls on spherically symmetric manifolds
 8. Heat kernel on spherically symmetric manifolds
 Multipliers of differentiable functions and their traces
 1. Introduction
 2. Description and properties of multipliers
 3. Multipliers in the space of Bessel potentials as traces of multipliers
 An asymptotic theory of nonlinear abstract higher order ordinary differential equations
 Sobolev spaces for domains with cusps
 1. Introduction
 2. Extension theorems
 3. Embedding theorems
 4. Boundary values of Sobolev functions
 Extension theorems for Sobolev spaces
 1. Introduction
 2. Extensions with preservation of class
 3. Estimates for the minimal norm of an extension operator
 4. Extensions with deterioration of class
 Contributions of V.G. Maz'ya to analysis of singularly perturbed boundary value problems
 1. Introduction
 2. Domain with a small hole
 3. General asymptotic theory by Maz'ya, Nazarov and Plamenevskii
 4. Asymptotics of solutions of boundary integral equations under a small perturbation of a corner
 5. Compound asymptotics for homogenization problems
 6. Boundary value problems in 3D1D multistructures
 Asymptotic analysis of a mixed boundary value problem in a singularly degenerating domain
 1. Introduction
 2. Formulation of the problem
 3. The leading order approximation
 A history of the Cosserat spectrum
 1. Introduction
 2. The first boundary value problem of elastostatics
 3. The second and other boundaryvalue problems
 4. Applications and other related results
 Boundary integral equations for plane domains with cusps
 1. Introduction
 2. Integral equations in weighted Sobolev spaces
 On Maz'ya type inequalities for convolution operators
 1. Introduction
 2. Onedimensional polynomials
 3. The functions ?x?2? in ? n
 Sharp constants and maximum principles for elliptic and parabolic systems with continuous boundary data
 1. The norm and the essential norm of the double layer elastic and hydrodynamic potentials in the space of continuous functions
 2. Exact constants in inequalities of maximum principle type for certain systems and equations of mathematical physics
 3. Maximum modulus principle for elliptic systems
 4. Maximum modulus principle for parabolic systems
 5. Maximum norm principle for parabolic systems
 Lpcontractivity of semigroups generated by parabolic matrix differential operators
 1. Introduction
 2. Preliminaries
 3. Weakly coupled systems
 4. Coupled systems
 Curriculum vitae of Vladimir Maz'ya
 Publications of Vladimir Maz'ya
 Isbn
 9783034886758
 Label
 The Maz'ya Anniversary Collection : Volume 1: On Maz'ya's work in functional analysis, partial differential equations and applications
 Title
 The Maz'ya Anniversary Collection
 Title remainder
 Volume 1: On Maz'ya's work in functional analysis, partial differential equations and applications
 Statement of responsibility
 edited by Jürgen Rossmann, Peter Takáč, Günther Wildenhain
 Language
 eng
 Summary
 This is the first volume of a collection of articles dedicated to V.G Maz'ya on the occasion of his 60th birthday. It contains surveys on his work in different fields of mathematics or on areas to which he made essential contributions. Other articles of this book have their origin in the common work with Maz'ya. V.G Maz'ya is author or coauthor of more than 300 scientific works on various fields of functional analysis, function theory, numerical analysis, partial differential equations and their application. The reviews in this book show his enormous productivity and the large variety of his work. The scond volume contains most of the invited lectures of the Conference on Functional Analysis, Partial Differential Equations and Applications held in Rostock in September 1998 in honor of V.G Maz'ya. Here different problems of functional analysis, potential theory, linear and nonlinear partial differential equations, theory of function spaces and numerical analysis are treated. The authors, who are outstanding experts in these fields, present surveys as well as new results
 Cataloging source
 I9W
 http://library.link/vocab/creatorName
 Rossmann, Jürgen
 Dewey number
 510
 Index
 no index present
 LC call number
 QA1939
 Literary form
 non fiction
 Nature of contents
 encyclopedias
 http://library.link/vocab/relatedWorkOrContributorName

 Takac, Peter
 Wildenhain, Gunther
 Series statement
 Operator Theory: Advances and Applications
 Series volume
 109
 http://library.link/vocab/subjectName

 Mathematics
 Mathematics
 Label
 The Maz'ya Anniversary Collection : Volume 1: On Maz'ya's work in functional analysis, partial differential equations and applications, edited by Jürgen Rossmann, Peter Takáč, Günther Wildenhain, (electronic resource)
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Vladimir Maz'ya: Friend and mathematician. Recollections  On Maz'ya's work in potential theory and the theory of function spaces  1. Introduction  2. Embeddings and isoperimetric inequalities  3. Regularity of solutions  4. Boundary regularity  5. Nonlinear potential theory  Maz'ya's works in the linear theory of water waves  1. Introduction  2. The unique solvability of the water wave problem  3. The NeumannKelvin problem  4. Asymptotic expansions for transient water waves due to brief and highfrequency disturbances  Maz'ya's work on integral and pseudodifferential operators  1. Nonelliptic operators  2. Oblique derivative problem: breakthrough in the generic case of degeneration  3. Estimates for differential operators in the halfspace  4. The characteristic Cauchy problem for hyperbolic equations  5. New methods for solving illposed boundary value problems  6. Applications of multiplier theory to integral operators  7. Integral equations of harmonic potential theory on general nonregular surfaces  8. Boundary integral equations on piecewise smooth surfaces  Contributions of V. Maz'ya to the theory of boundary value problems in nonsmooth domains  1. Maz'ya's early work on boundary value problems in nonsmooth domains  2. General elliptic boundary value problems in domains with point singularities  3. Boundary value problems in domains with edges  4. Spectral properties of operator pencils generated by elliptic boundary value problems in a cone  5. Applications to elastostatics and hydrodynamics  6. Singularities of solutions to nonlinear elliptic equations at a cone vertex  On some potential theoretic themes in function theory  1. Approximation theory  2. Uniqueness properties of analytic functions  3. The Cauchy problem for the Laplace equation  Approximate approximations and their applications  1. Introduction  2. Quasiinterpolation  3. Generating functions for quasiinterpolation of high order  4. Semianalytic cubature formulas  5. Cubature of integral operators over bounded domains  6. Approximate wavelets  7. Numerical algorithms based upon approximate approximations  Maz'ya's work on the biography of Hadamard  Isoperimetric inequalities and capacities on Riemannian manifolds  1. Introduction  2. Capacity of balls  3. Parabolicity of manifolds  4. Isoperimetric inequality and Sobolev inequality  5. Capacity and the principal frequency  6. Cheeger's inequality  7. Eigenvalues of balls on spherically symmetric manifolds  8. Heat kernel on spherically symmetric manifolds  Multipliers of differentiable functions and their traces  1. Introduction  2. Description and properties of multipliers  3. Multipliers in the space of Bessel potentials as traces of multipliers  An asymptotic theory of nonlinear abstract higher order ordinary differential equations  Sobolev spaces for domains with cusps  1. Introduction  2. Extension theorems  3. Embedding theorems  4. Boundary values of Sobolev functions  Extension theorems for Sobolev spaces  1. Introduction  2. Extensions with preservation of class  3. Estimates for the minimal norm of an extension operator  4. Extensions with deterioration of class  Contributions of V.G. Maz'ya to analysis of singularly perturbed boundary value problems  1. Introduction  2. Domain with a small hole  3. General asymptotic theory by Maz'ya, Nazarov and Plamenevskii  4. Asymptotics of solutions of boundary integral equations under a small perturbation of a corner  5. Compound asymptotics for homogenization problems  6. Boundary value problems in 3D1D multistructures  Asymptotic analysis of a mixed boundary value problem in a singularly degenerating domain  1. Introduction  2. Formulation of the problem  3. The leading order approximation  A history of the Cosserat spectrum  1. Introduction  2. The first boundary value problem of elastostatics  3. The second and other boundaryvalue problems  4. Applications and other related results  Boundary integral equations for plane domains with cusps  1. Introduction  2. Integral equations in weighted Sobolev spaces  On Maz'ya type inequalities for convolution operators  1. Introduction  2. Onedimensional polynomials  3. The functions ?x?2? in ? n  Sharp constants and maximum principles for elliptic and parabolic systems with continuous boundary data  1. The norm and the essential norm of the double layer elastic and hydrodynamic potentials in the space of continuous functions  2. Exact constants in inequalities of maximum principle type for certain systems and equations of mathematical physics  3. Maximum modulus principle for elliptic systems  4. Maximum modulus principle for parabolic systems  5. Maximum norm principle for parabolic systems  Lpcontractivity of semigroups generated by parabolic matrix differential operators  1. Introduction  2. Preliminaries  3. Weakly coupled systems  4. Coupled systems  Curriculum vitae of Vladimir Maz'ya  Publications of Vladimir Maz'ya
 Dimensions
 unknown
 Extent
 1 online resource (364 pages).
 Form of item
 online
 Isbn
 9783034886758
 Isbn Type
 (electronic bk.)
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783034886758
 Specific material designation
 remote
 System control number

 (OCoLC)840290626
 (OCoLC)ocn840290626
 Label
 The Maz'ya Anniversary Collection : Volume 1: On Maz'ya's work in functional analysis, partial differential equations and applications, edited by Jürgen Rossmann, Peter Takáč, Günther Wildenhain, (electronic resource)
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Vladimir Maz'ya: Friend and mathematician. Recollections  On Maz'ya's work in potential theory and the theory of function spaces  1. Introduction  2. Embeddings and isoperimetric inequalities  3. Regularity of solutions  4. Boundary regularity  5. Nonlinear potential theory  Maz'ya's works in the linear theory of water waves  1. Introduction  2. The unique solvability of the water wave problem  3. The NeumannKelvin problem  4. Asymptotic expansions for transient water waves due to brief and highfrequency disturbances  Maz'ya's work on integral and pseudodifferential operators  1. Nonelliptic operators  2. Oblique derivative problem: breakthrough in the generic case of degeneration  3. Estimates for differential operators in the halfspace  4. The characteristic Cauchy problem for hyperbolic equations  5. New methods for solving illposed boundary value problems  6. Applications of multiplier theory to integral operators  7. Integral equations of harmonic potential theory on general nonregular surfaces  8. Boundary integral equations on piecewise smooth surfaces  Contributions of V. Maz'ya to the theory of boundary value problems in nonsmooth domains  1. Maz'ya's early work on boundary value problems in nonsmooth domains  2. General elliptic boundary value problems in domains with point singularities  3. Boundary value problems in domains with edges  4. Spectral properties of operator pencils generated by elliptic boundary value problems in a cone  5. Applications to elastostatics and hydrodynamics  6. Singularities of solutions to nonlinear elliptic equations at a cone vertex  On some potential theoretic themes in function theory  1. Approximation theory  2. Uniqueness properties of analytic functions  3. The Cauchy problem for the Laplace equation  Approximate approximations and their applications  1. Introduction  2. Quasiinterpolation  3. Generating functions for quasiinterpolation of high order  4. Semianalytic cubature formulas  5. Cubature of integral operators over bounded domains  6. Approximate wavelets  7. Numerical algorithms based upon approximate approximations  Maz'ya's work on the biography of Hadamard  Isoperimetric inequalities and capacities on Riemannian manifolds  1. Introduction  2. Capacity of balls  3. Parabolicity of manifolds  4. Isoperimetric inequality and Sobolev inequality  5. Capacity and the principal frequency  6. Cheeger's inequality  7. Eigenvalues of balls on spherically symmetric manifolds  8. Heat kernel on spherically symmetric manifolds  Multipliers of differentiable functions and their traces  1. Introduction  2. Description and properties of multipliers  3. Multipliers in the space of Bessel potentials as traces of multipliers  An asymptotic theory of nonlinear abstract higher order ordinary differential equations  Sobolev spaces for domains with cusps  1. Introduction  2. Extension theorems  3. Embedding theorems  4. Boundary values of Sobolev functions  Extension theorems for Sobolev spaces  1. Introduction  2. Extensions with preservation of class  3. Estimates for the minimal norm of an extension operator  4. Extensions with deterioration of class  Contributions of V.G. Maz'ya to analysis of singularly perturbed boundary value problems  1. Introduction  2. Domain with a small hole  3. General asymptotic theory by Maz'ya, Nazarov and Plamenevskii  4. Asymptotics of solutions of boundary integral equations under a small perturbation of a corner  5. Compound asymptotics for homogenization problems  6. Boundary value problems in 3D1D multistructures  Asymptotic analysis of a mixed boundary value problem in a singularly degenerating domain  1. Introduction  2. Formulation of the problem  3. The leading order approximation  A history of the Cosserat spectrum  1. Introduction  2. The first boundary value problem of elastostatics  3. The second and other boundaryvalue problems  4. Applications and other related results  Boundary integral equations for plane domains with cusps  1. Introduction  2. Integral equations in weighted Sobolev spaces  On Maz'ya type inequalities for convolution operators  1. Introduction  2. Onedimensional polynomials  3. The functions ?x?2? in ? n  Sharp constants and maximum principles for elliptic and parabolic systems with continuous boundary data  1. The norm and the essential norm of the double layer elastic and hydrodynamic potentials in the space of continuous functions  2. Exact constants in inequalities of maximum principle type for certain systems and equations of mathematical physics  3. Maximum modulus principle for elliptic systems  4. Maximum modulus principle for parabolic systems  5. Maximum norm principle for parabolic systems  Lpcontractivity of semigroups generated by parabolic matrix differential operators  1. Introduction  2. Preliminaries  3. Weakly coupled systems  4. Coupled systems  Curriculum vitae of Vladimir Maz'ya  Publications of Vladimir Maz'ya
 Dimensions
 unknown
 Extent
 1 online resource (364 pages).
 Form of item
 online
 Isbn
 9783034886758
 Isbn Type
 (electronic bk.)
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783034886758
 Specific material designation
 remote
 System control number

 (OCoLC)840290626
 (OCoLC)ocn840290626
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