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The Resource Evolution Equations of Hyperbolic and Schrödinger Type : Asymptotics, Estimates and Nonlinearities, edited by Michael Ruzhansky, Mitsuru Sugimoto, Jens Wirth, (electronic resource)
Evolution Equations of Hyperbolic and Schrödinger Type : Asymptotics, Estimates and Nonlinearities, edited by Michael Ruzhansky, Mitsuru Sugimoto, Jens Wirth, (electronic resource)
Resource Information
The item Evolution Equations of Hyperbolic and Schrödinger Type : Asymptotics, Estimates and Nonlinearities, edited by Michael Ruzhansky, Mitsuru Sugimoto, Jens Wirth, (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.
Resource Information
The item Evolution Equations of Hyperbolic and Schrödinger Type : Asymptotics, Estimates and Nonlinearities, edited by Michael Ruzhansky, Mitsuru Sugimoto, Jens Wirth, (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
 Evolution equations of hyperbolic or more general pevolution type form an active field of current research. This volume aims to collect some recent advances in the area in order to allow a quick overview of ongoing research. The contributors are first rate mathematicians. This collection of research papers is centred around parametrix constructions and microlocal analysis; asymptotic constructions of solutions; energy and dispersive estimates; and associated spectral transforms. Applications concerning elasticity and general relativity complement the volume. The book gives an overview of a variety of ongoing current research in the field and allows researchers as well as students to grasp new aspects and broaden their understanding of the area
 Language

 eng
 eng
 Edition
 1st ed. 2012.
 Extent
 1 online resource (326 p.)
 Note
 Description based upon print version of record
 Contents

 Evolution Equations of Hyperbolic and Schrödinger Type; Asymptotics, Estimates and Nonlinearities; Contents; Preface; Divergencetype Operators: Spectral Theory and Spacetime Estimates; 1. Introduction; 2. Functional spaces and notation; 3. The basic abstract structure; 3.1. The limiting absorption prinicple  LAP; 3.2. Persistence of smoothness under functional operations; 4. The limiting absorption principle for secondorder divergencetype operators; 4.1. The operator Ho =Δ  revisited; 4.2. Proof of the LAP for the operator H
 4.3. An application: Existence and completeness of the wave operators W±(H,Ho)5. An eigenfunction expansion theorem; 6. Global spacetime estimates for a generalized wave equation; References; Kinetic Models of Chemotaxis; 1. Introduction; 2. Strichartz and dispersion estimates for the kinetic transport equation; 3. Global existence for some kinetic models of chemotaxis; 4. Critical nonlinearities; 5. Blowup in two dimensions; 6. Perspectives and open problems; Acknowledgment; References; Modulus of Continuity and Decay at Infinity in Evolution Equations with Real Characteristics
 AcknowledgementReferences; Geometric Regularization on Riemannian and Lorentzian Manifolds; 1. Introduction; 2. Regularization of distributions on complete Riemannian manifolds; 2.1. Regularizations; 2.2. Finite speed of propagation; 2.3. Applications; 3. Regularization on globally hyperbolic spacetimes; 3.1. The metric splitting of globally hyperbolic spacetimes and associated Riemann metrics; 3.2. Regularization and embedding via the associated Riemannian structure; Acknowledgment; References
 A Remark on the Uniqueness for Backward Parabolic Operators with nonLipschitzcontinuous Coefficients1. Introduction; 2. Main result; 3. Proof; 3.1. Weight function and Carleman estimate; 3.2. LittlewoodPaley decomposition, Bony's paramultiplication and commutators; 3.3. Carleman estimate and approximation; Acknowledgment; References; Dispersive Properties of Schrödinger Operators in the Absence of a Resonance at Zero Energy in 3D; 1. Introduction; 2. Resonance at the spectral origin; 3. Strong resonance at the spectral origin
 4. The nonradial case: zero is resonance implies zero is an eigenvalue
 Isbn
 9783034804547
 Label
 Evolution Equations of Hyperbolic and Schrödinger Type : Asymptotics, Estimates and Nonlinearities
 Title
 Evolution Equations of Hyperbolic and Schrödinger Type
 Title remainder
 Asymptotics, Estimates and Nonlinearities
 Statement of responsibility
 edited by Michael Ruzhansky, Mitsuru Sugimoto, Jens Wirth
 Language

 eng
 eng
 Summary
 Evolution equations of hyperbolic or more general pevolution type form an active field of current research. This volume aims to collect some recent advances in the area in order to allow a quick overview of ongoing research. The contributors are first rate mathematicians. This collection of research papers is centred around parametrix constructions and microlocal analysis; asymptotic constructions of solutions; energy and dispersive estimates; and associated spectral transforms. Applications concerning elasticity and general relativity complement the volume. The book gives an overview of a variety of ongoing current research in the field and allows researchers as well as students to grasp new aspects and broaden their understanding of the area
 Dewey number
 515.353
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt

 q7e1FbuJGoc
 tzxDbvdVhz0
 J9uacKf4IpY
 Language note
 English
 LC call number
 QA370380
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName

 Ruzhansky, Michael.
 Sugimoto, Mitsuru.
 Wirth, Jens.
 Series statement
 Progress in Mathematics,
 Series volume
 301
 http://library.link/vocab/subjectName

 Differential equations, partial
 Operator theory
 Global analysis
 Mathematical optimization
 Partial Differential Equations
 Operator Theory
 Global Analysis and Analysis on Manifolds
 Calculus of Variations and Optimal Control; Optimization
 Label
 Evolution Equations of Hyperbolic and Schrödinger Type : Asymptotics, Estimates and Nonlinearities, edited by Michael Ruzhansky, Mitsuru Sugimoto, Jens Wirth, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents

 Evolution Equations of Hyperbolic and Schrödinger Type; Asymptotics, Estimates and Nonlinearities; Contents; Preface; Divergencetype Operators: Spectral Theory and Spacetime Estimates; 1. Introduction; 2. Functional spaces and notation; 3. The basic abstract structure; 3.1. The limiting absorption prinicple  LAP; 3.2. Persistence of smoothness under functional operations; 4. The limiting absorption principle for secondorder divergencetype operators; 4.1. The operator Ho =Δ  revisited; 4.2. Proof of the LAP for the operator H
 4.3. An application: Existence and completeness of the wave operators W±(H,Ho)5. An eigenfunction expansion theorem; 6. Global spacetime estimates for a generalized wave equation; References; Kinetic Models of Chemotaxis; 1. Introduction; 2. Strichartz and dispersion estimates for the kinetic transport equation; 3. Global existence for some kinetic models of chemotaxis; 4. Critical nonlinearities; 5. Blowup in two dimensions; 6. Perspectives and open problems; Acknowledgment; References; Modulus of Continuity and Decay at Infinity in Evolution Equations with Real Characteristics
 AcknowledgementReferences; Geometric Regularization on Riemannian and Lorentzian Manifolds; 1. Introduction; 2. Regularization of distributions on complete Riemannian manifolds; 2.1. Regularizations; 2.2. Finite speed of propagation; 2.3. Applications; 3. Regularization on globally hyperbolic spacetimes; 3.1. The metric splitting of globally hyperbolic spacetimes and associated Riemann metrics; 3.2. Regularization and embedding via the associated Riemannian structure; Acknowledgment; References
 A Remark on the Uniqueness for Backward Parabolic Operators with nonLipschitzcontinuous Coefficients1. Introduction; 2. Main result; 3. Proof; 3.1. Weight function and Carleman estimate; 3.2. LittlewoodPaley decomposition, Bony's paramultiplication and commutators; 3.3. Carleman estimate and approximation; Acknowledgment; References; Dispersive Properties of Schrödinger Operators in the Absence of a Resonance at Zero Energy in 3D; 1. Introduction; 2. Resonance at the spectral origin; 3. Strong resonance at the spectral origin
 4. The nonradial case: zero is resonance implies zero is an eigenvalue
 Dimensions
 unknown
 Edition
 1st ed. 2012.
 Extent
 1 online resource (326 p.)
 Form of item
 online
 Isbn
 9783034804547
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9783034804547
 Specific material designation
 remote
 System control number

 (CKB)2560000000090676
 (EBL)1030330
 (OCoLC)805541667
 (SSID)ssj0000740909
 (PQKBManifestationID)11451353
 (PQKBTitleCode)TC0000740909
 (PQKBWorkID)10701956
 (PQKB)10936505
 (DEHe213)9783034804547
 (MiAaPQ)EBC1030330
 (EXLCZ)992560000000090676
 Label
 Evolution Equations of Hyperbolic and Schrödinger Type : Asymptotics, Estimates and Nonlinearities, edited by Michael Ruzhansky, Mitsuru Sugimoto, Jens Wirth, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents

 Evolution Equations of Hyperbolic and Schrödinger Type; Asymptotics, Estimates and Nonlinearities; Contents; Preface; Divergencetype Operators: Spectral Theory and Spacetime Estimates; 1. Introduction; 2. Functional spaces and notation; 3. The basic abstract structure; 3.1. The limiting absorption prinicple  LAP; 3.2. Persistence of smoothness under functional operations; 4. The limiting absorption principle for secondorder divergencetype operators; 4.1. The operator Ho =Δ  revisited; 4.2. Proof of the LAP for the operator H
 4.3. An application: Existence and completeness of the wave operators W±(H,Ho)5. An eigenfunction expansion theorem; 6. Global spacetime estimates for a generalized wave equation; References; Kinetic Models of Chemotaxis; 1. Introduction; 2. Strichartz and dispersion estimates for the kinetic transport equation; 3. Global existence for some kinetic models of chemotaxis; 4. Critical nonlinearities; 5. Blowup in two dimensions; 6. Perspectives and open problems; Acknowledgment; References; Modulus of Continuity and Decay at Infinity in Evolution Equations with Real Characteristics
 AcknowledgementReferences; Geometric Regularization on Riemannian and Lorentzian Manifolds; 1. Introduction; 2. Regularization of distributions on complete Riemannian manifolds; 2.1. Regularizations; 2.2. Finite speed of propagation; 2.3. Applications; 3. Regularization on globally hyperbolic spacetimes; 3.1. The metric splitting of globally hyperbolic spacetimes and associated Riemann metrics; 3.2. Regularization and embedding via the associated Riemannian structure; Acknowledgment; References
 A Remark on the Uniqueness for Backward Parabolic Operators with nonLipschitzcontinuous Coefficients1. Introduction; 2. Main result; 3. Proof; 3.1. Weight function and Carleman estimate; 3.2. LittlewoodPaley decomposition, Bony's paramultiplication and commutators; 3.3. Carleman estimate and approximation; Acknowledgment; References; Dispersive Properties of Schrödinger Operators in the Absence of a Resonance at Zero Energy in 3D; 1. Introduction; 2. Resonance at the spectral origin; 3. Strong resonance at the spectral origin
 4. The nonradial case: zero is resonance implies zero is an eigenvalue
 Dimensions
 unknown
 Edition
 1st ed. 2012.
 Extent
 1 online resource (326 p.)
 Form of item
 online
 Isbn
 9783034804547
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9783034804547
 Specific material designation
 remote
 System control number

 (CKB)2560000000090676
 (EBL)1030330
 (OCoLC)805541667
 (SSID)ssj0000740909
 (PQKBManifestationID)11451353
 (PQKBTitleCode)TC0000740909
 (PQKBWorkID)10701956
 (PQKB)10936505
 (DEHe213)9783034804547
 (MiAaPQ)EBC1030330
 (EXLCZ)992560000000090676
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