The Resource General Parabolic Mixed Order Systems in Lp and Applications, by Robert Denk, Mario Kaip, (electronic resource)

General Parabolic Mixed Order Systems in Lp and Applications, by Robert Denk, Mario Kaip, (electronic resource)

Label
General Parabolic Mixed Order Systems in Lp and Applications
Title
General Parabolic Mixed Order Systems in Lp and Applications
Statement of responsibility
by Robert Denk, Mario Kaip
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
In this text, a theory for general linear parabolic partial differential equations is established, which covers equations with inhomogeneous symbol structure as well as mixed order systems. Typical applications include several variants of the Stokes system and free boundary value problems. We show well-posedness in Lp-Lq-Sobolev spaces in time and space for the linear problems (i.e., maximal regularity), which is the key step for the treatment of nonlinear problems. The theory is based on the concept of the Newton polygon and can cover equations that are not accessible by standard methods as, e.g., semigroup theory. Results are obtained in different types of non-integer Lp-Sobolev spaces as Besov spaces, Bessel potential spaces, and Triebel–Lizorkin spaces. The latter class appears in a natural way as traces of Lp-Lq-Sobolev spaces. We also present a selection of applications in the whole space and on half-spaces. Among others, we prove well-posedness of the linearizations of the generalized thermoelastic plate equation, the two-phase Navier–Stokes equations with Boussinesq–Scriven surface, and the Lp-Lq two-phase Stefan problem with Gibbs–Thomson correction
Member of
Is Subseries of
http://library.link/vocab/creatorName
Denk, Robert
Dewey number
515.353
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • vKn7LHW9AQ0
  • 4OR47jrCQD0
Language note
English
LC call number
QA370-380
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Kaip, Mario.
Series statement
Operator Theory: Advances and Applications,
Series volume
239
http://library.link/vocab/subjectName
  • Differential equations, partial
  • Operator theory
  • Partial Differential Equations
  • Mathematical Physics
  • Operator Theory
Label
General Parabolic Mixed Order Systems in Lp and Applications, by Robert Denk, Mario Kaip, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Introduction and Outline -- 1 The joint time-space H(infinity)-calculus -- 2 The Newton polygon approach for mixed-order systems.-3 Triebel-Lizorkin spaces and the Lp-Lq setting.- 4 Application to parabolic differential equations -- List of figures.-Bibliography -- List of symbols -- Index
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (254 p.)
Form of item
online
Isbn
9783319020006
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-319-02000-6
Specific material designation
remote
System control number
  • (CKB)3710000000031220
  • (EBL)1593049
  • (OCoLC)871776471
  • (SSID)ssj0001067469
  • (PQKBManifestationID)11592619
  • (PQKBTitleCode)TC0001067469
  • (PQKBWorkID)11091948
  • (PQKB)10512514
  • (DE-He213)978-3-319-02000-6
  • (MiAaPQ)EBC1593049
  • (EXLCZ)993710000000031220
Label
General Parabolic Mixed Order Systems in Lp and Applications, by Robert Denk, Mario Kaip, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Introduction and Outline -- 1 The joint time-space H(infinity)-calculus -- 2 The Newton polygon approach for mixed-order systems.-3 Triebel-Lizorkin spaces and the Lp-Lq setting.- 4 Application to parabolic differential equations -- List of figures.-Bibliography -- List of symbols -- Index
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (254 p.)
Form of item
online
Isbn
9783319020006
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-319-02000-6
Specific material designation
remote
System control number
  • (CKB)3710000000031220
  • (EBL)1593049
  • (OCoLC)871776471
  • (SSID)ssj0001067469
  • (PQKBManifestationID)11592619
  • (PQKBTitleCode)TC0001067469
  • (PQKBWorkID)11091948
  • (PQKB)10512514
  • (DE-He213)978-3-319-02000-6
  • (MiAaPQ)EBC1593049
  • (EXLCZ)993710000000031220

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