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The Resource Analytic Methods In The Theory Of Differential And PseudoDifferential Equations Of Parabolic Type, by Samuil D. Eidelman, Stepan D. Ivasyshen, Anatoly N. Kochubei, (electronic resource)
Analytic Methods In The Theory Of Differential And PseudoDifferential Equations Of Parabolic Type, by Samuil D. Eidelman, Stepan D. Ivasyshen, Anatoly N. Kochubei, (electronic resource)
Resource Information
The item Analytic Methods In The Theory Of Differential And PseudoDifferential Equations Of Parabolic Type, by Samuil D. Eidelman, Stepan D. Ivasyshen, Anatoly N. Kochubei, (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 Analytic Methods In The Theory Of Differential And PseudoDifferential Equations Of Parabolic Type, by Samuil D. Eidelman, Stepan D. Ivasyshen, Anatoly N. Kochubei, (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
 The theory of parabolic equations, a welldeveloped part of the contemporary partial differential equations and mathematical physics, is the subject theory of of an immense research activity. A continuing interest in parabolic equations is caused both by the depth and complexity of mathematical problems emerging here, and by its importance in specific applied problems of natural science, technology, and economics. This book aims at a consistent and, as far as possible, a complete exposition of analytic methods of constructing, investigating, and using fundamental solutions of the Cauchy problem for the following four classes of linear parabolic equations with coefficients depending on all variables: 7 E : 2bparabolic partial differential equations (parabolic equations of a qua l homogeneous structure), in which every spatial variable may have its own to the time variable. weight with respect E : degenerate partial differential equations of Kolmogorov's structure, which 2 generalize classical Kolmogorov equations of diffusion with inertia. E3: pseudodifferential equations with nonsmooth quasihomogeneous symbols. E : fractional diffusion equations. 4 These classes of equations generalize in various directions the classical equations and systems parabolic in the Petrovsky sense, which were defined in [180] and studied in a number of monographs [83, 45, 146, 107, 76] and survey articles [102, 1, 215, 70, 46]
 Language

 eng
 eng
 Edition
 1st ed. 2004.
 Extent
 1 online resource (IX, 390 p.)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Contents

 1 Equations. Problems. Results. Methods. Examples
 1.1 Differential equations
 1.2 Pseudodifferential equations
 1.3 Main lemmas
 2 Parabolic Equations of a QuasiHomogeneous Structure
 2.1 Fundamental solution of the Cauchy problem for equations with bounded coefficients
 2.2 Cauchy problem for equations with bounded coefficients
 2.3 Equations with growing coefficients
 2.4 Equations with degenerations on the initial hyperplane
 2.5 Comments
 3 Degenerate Equations of the Kolmogorov Type
 3.1 Fundamental solution of the Cauchy problem
 3.2 Cauchy problem
 3.3 Properties of solutions of the FokkerPlanckKolmogorov equations
 3.4 Comments
 4 PseudoDifferential Parabolic Equations with QuasiHomogeneous Symbols
 4.1 Fundamental solution of the Cauchy problem
 4.2 Cauchy problem
 4.3 On qualitative properties of solutions of some equations with constant symbols
 4.4 Comments
 5 Fractional Diffusion Equations
 5.1 Fractional derivatives
 5.2 Fundamental solution of the Cauchy problem
 5.3 The Cauchy problem: Existence and representation of solutions
 5.4 Uniqueness theorems
 5.5 Comments
 Appendix. Fox’s HFunctions
 Notation
 Isbn
 9783034878449
 Label
 Analytic Methods In The Theory Of Differential And PseudoDifferential Equations Of Parabolic Type
 Title
 Analytic Methods In The Theory Of Differential And PseudoDifferential Equations Of Parabolic Type
 Statement of responsibility
 by Samuil D. Eidelman, Stepan D. Ivasyshen, Anatoly N. Kochubei
 Language

 eng
 eng
 Summary
 The theory of parabolic equations, a welldeveloped part of the contemporary partial differential equations and mathematical physics, is the subject theory of of an immense research activity. A continuing interest in parabolic equations is caused both by the depth and complexity of mathematical problems emerging here, and by its importance in specific applied problems of natural science, technology, and economics. This book aims at a consistent and, as far as possible, a complete exposition of analytic methods of constructing, investigating, and using fundamental solutions of the Cauchy problem for the following four classes of linear parabolic equations with coefficients depending on all variables: 7 E : 2bparabolic partial differential equations (parabolic equations of a qua l homogeneous structure), in which every spatial variable may have its own to the time variable. weight with respect E : degenerate partial differential equations of Kolmogorov's structure, which 2 generalize classical Kolmogorov equations of diffusion with inertia. E3: pseudodifferential equations with nonsmooth quasihomogeneous symbols. E : fractional diffusion equations. 4 These classes of equations generalize in various directions the classical equations and systems parabolic in the Petrovsky sense, which were defined in [180] and studied in a number of monographs [83, 45, 146, 107, 76] and survey articles [102, 1, 215, 70, 46]
 http://library.link/vocab/creatorName
 Eidelman, Samuil D
 Dewey number
 515.353
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 DnqC7fztL6E
 MsLC8XxeoE
 SoS5craNCCc
 Image bit depth
 0
 Language note
 English
 LC call number
 QA370380
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName

 Ivasyshen, Stepan D.
 Kochubei, Anatoly N.
 Series statement
 Operator Theory: Advances and Applications,
 Series volume
 152
 http://library.link/vocab/subjectName

 Differential equations, partial
 Operator theory
 Mathematical physics
 Partial Differential Equations
 Operator Theory
 Mathematical Methods in Physics
 Label
 Analytic Methods In The Theory Of Differential And PseudoDifferential Equations Of Parabolic Type, by Samuil D. Eidelman, Stepan D. Ivasyshen, Anatoly N. Kochubei, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 1 Equations. Problems. Results. Methods. Examples  1.1 Differential equations  1.2 Pseudodifferential equations  1.3 Main lemmas  2 Parabolic Equations of a QuasiHomogeneous Structure  2.1 Fundamental solution of the Cauchy problem for equations with bounded coefficients  2.2 Cauchy problem for equations with bounded coefficients  2.3 Equations with growing coefficients  2.4 Equations with degenerations on the initial hyperplane  2.5 Comments  3 Degenerate Equations of the Kolmogorov Type  3.1 Fundamental solution of the Cauchy problem  3.2 Cauchy problem  3.3 Properties of solutions of the FokkerPlanckKolmogorov equations  3.4 Comments  4 PseudoDifferential Parabolic Equations with QuasiHomogeneous Symbols  4.1 Fundamental solution of the Cauchy problem  4.2 Cauchy problem  4.3 On qualitative properties of solutions of some equations with constant symbols  4.4 Comments  5 Fractional Diffusion Equations  5.1 Fractional derivatives  5.2 Fundamental solution of the Cauchy problem  5.3 The Cauchy problem: Existence and representation of solutions  5.4 Uniqueness theorems  5.5 Comments  Appendix. Fox’s HFunctions  Notation
 Dimensions
 unknown
 Edition
 1st ed. 2004.
 Extent
 1 online resource (IX, 390 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9783034878449
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9783034878449
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000101340
 (SSID)ssj0001295841
 (PQKBManifestationID)11757439
 (PQKBTitleCode)TC0001295841
 (PQKBWorkID)11344056
 (PQKB)10252581
 (DEHe213)9783034878449
 (MiAaPQ)EBC3086113
 (EXLCZ)993400000000101340
 Label
 Analytic Methods In The Theory Of Differential And PseudoDifferential Equations Of Parabolic Type, by Samuil D. Eidelman, Stepan D. Ivasyshen, Anatoly N. Kochubei, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 1 Equations. Problems. Results. Methods. Examples  1.1 Differential equations  1.2 Pseudodifferential equations  1.3 Main lemmas  2 Parabolic Equations of a QuasiHomogeneous Structure  2.1 Fundamental solution of the Cauchy problem for equations with bounded coefficients  2.2 Cauchy problem for equations with bounded coefficients  2.3 Equations with growing coefficients  2.4 Equations with degenerations on the initial hyperplane  2.5 Comments  3 Degenerate Equations of the Kolmogorov Type  3.1 Fundamental solution of the Cauchy problem  3.2 Cauchy problem  3.3 Properties of solutions of the FokkerPlanckKolmogorov equations  3.4 Comments  4 PseudoDifferential Parabolic Equations with QuasiHomogeneous Symbols  4.1 Fundamental solution of the Cauchy problem  4.2 Cauchy problem  4.3 On qualitative properties of solutions of some equations with constant symbols  4.4 Comments  5 Fractional Diffusion Equations  5.1 Fractional derivatives  5.2 Fundamental solution of the Cauchy problem  5.3 The Cauchy problem: Existence and representation of solutions  5.4 Uniqueness theorems  5.5 Comments  Appendix. Fox’s HFunctions  Notation
 Dimensions
 unknown
 Edition
 1st ed. 2004.
 Extent
 1 online resource (IX, 390 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9783034878449
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9783034878449
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000101340
 (SSID)ssj0001295841
 (PQKBManifestationID)11757439
 (PQKBTitleCode)TC0001295841
 (PQKBWorkID)11344056
 (PQKB)10252581
 (DEHe213)9783034878449
 (MiAaPQ)EBC3086113
 (EXLCZ)993400000000101340
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