The Resource Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type, by Samuil D. Eidelman, Stepan D. Ivasyshen, Anatoly N. Kochubei, (electronic resource)

Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type, by Samuil D. Eidelman, Stepan D. Ivasyshen, Anatoly N. Kochubei, (electronic resource)

Label
Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type
Title
Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type
Statement of responsibility
by Samuil D. Eidelman, Stepan D. Ivasyshen, Anatoly N. Kochubei
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
The theory of parabolic equations, a well-developed 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 : 2b-parabolic 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: pseudo-differential equations with non-smooth quasi-homogeneous 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]
Member of
Is Subseries of
http://library.link/vocab/creatorName
Eidelman, Samuil D
Dewey number
515.353
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • DnqC7fztL6E
  • M-sLC8XxeoE
  • SoS5craNCCc
Image bit depth
0
Language note
English
LC call number
QA370-380
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 Pseudo-Differential Equations Of Parabolic Type, by Samuil D. Eidelman, Stepan D. Ivasyshen, Anatoly N. Kochubei, (electronic resource)
Instantiates
Publication
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 Pseudo-differential equations -- 1.3 Main lemmas -- 2 Parabolic Equations of a Quasi-Homogeneous 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 Fokker-Planck-Kolmogorov equations -- 3.4 Comments -- 4 Pseudo-Differential Parabolic Equations with Quasi-Homogeneous 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 H-Functions -- 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
10.1007/978-3-0348-7844-9
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
  • (DE-He213)978-3-0348-7844-9
  • (MiAaPQ)EBC3086113
  • (EXLCZ)993400000000101340
Label
Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type, by Samuil D. Eidelman, Stepan D. Ivasyshen, Anatoly N. Kochubei, (electronic resource)
Publication
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 Pseudo-differential equations -- 1.3 Main lemmas -- 2 Parabolic Equations of a Quasi-Homogeneous 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 Fokker-Planck-Kolmogorov equations -- 3.4 Comments -- 4 Pseudo-Differential Parabolic Equations with Quasi-Homogeneous 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 H-Functions -- 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
10.1007/978-3-0348-7844-9
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
  • (DE-He213)978-3-0348-7844-9
  • (MiAaPQ)EBC3086113
  • (EXLCZ)993400000000101340

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