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The Resource Dispersive equations and nonlinear waves : Generalized Korteweg-de Vries, Nonlinear Schrödinger, Wave and Schrödinger maps, Herbert Koch, Daniel Tataru, Monica Vişan

Dispersive equations and nonlinear waves : Generalized Korteweg-de Vries, Nonlinear Schrödinger, Wave and Schrödinger maps, Herbert Koch, Daniel Tataru, Monica Vişan

Creator
Author
Contributor
Summary
The first part of the book provides an introduction to key tools and techniques in dispersive equations: Strichartz estimates, bilinear estimates, modulation and adapted function spaces, with an application to the generalized Korteweg-de Vries equation and the Kadomtsev-Petviashvili equation. The energy-critical nonlinear Schrödinger equation, global solutions to the defocusing problem, and scattering are the focus of the second part. Using this concrete example, it walks the reader through the induction on energy technique, which has become the essential methodology for tackling large data critical problems. This includes refined/inverse Strichartz estimates, the existence and almost periodicity of minimal blow up solutions, and the development of long-time Strichartz inequalities. The third part describes wave and Schrödinger maps. Starting by building heuristics about multilinear estimates, it provides a detailed outline of this very active area of geometric/dispersive PDE. It focuses on concepts and ideas and should provide graduate students with a stepping stone to this exciting direction of research
Language
eng
Work
Publication
Extent
1 online resource (xii, 312 pages)
Isbn
9783034807357
Instance
Label
Dispersive equations and nonlinear waves : Generalized Korteweg-de Vries, Nonlinear Schrödinger, Wave and Schrödinger maps
Title
Dispersive equations and nonlinear waves
Title remainder
Generalized Korteweg-de Vries, Nonlinear Schrödinger, Wave and Schrödinger maps
Statement of responsibility
Herbert Koch, Daniel Tataru, Monica Vişan
Creator
Contributor
Author
Subject
Language
eng
Summary
The first part of the book provides an introduction to key tools and techniques in dispersive equations: Strichartz estimates, bilinear estimates, modulation and adapted function spaces, with an application to the generalized Korteweg-de Vries equation and the Kadomtsev-Petviashvili equation. The energy-critical nonlinear Schrödinger equation, global solutions to the defocusing problem, and scattering are the focus of the second part. Using this concrete example, it walks the reader through the induction on energy technique, which has become the essential methodology for tackling large data critical problems. This includes refined/inverse Strichartz estimates, the existence and almost periodicity of minimal blow up solutions, and the development of long-time Strichartz inequalities. The third part describes wave and Schrödinger maps. Starting by building heuristics about multilinear estimates, it provides a detailed outline of this very active area of geometric/dispersive PDE. It focuses on concepts and ideas and should provide graduate students with a stepping stone to this exciting direction of research
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1962-
http://library.link/vocab/creatorName
Koch, Herbert
Dewey number
515.355
Illustrations
illustrations
Index
no index present
LC call number
QA927
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1967-
http://library.link/vocab/relatedWorkOrContributorName
  • Tataru, Daniel
  • Vișan, Monica
Series statement
Oberwolfach Seminars,
Series volume
45
http://library.link/vocab/subjectName
  • Nonlinear wave equations
  • Nonlinear wave equations
Label
Dispersive equations and nonlinear waves : Generalized Korteweg-de Vries, Nonlinear Schrödinger, Wave and Schrödinger maps, Herbert Koch, Daniel Tataru, Monica Vişan
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
885023155
Dimensions
unknown
Extent
1 online resource (xii, 312 pages)
File format
unknown
Form of item
online
Isbn
9783034807357
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-0348-0736-4
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)885023155
Label
Dispersive equations and nonlinear waves : Generalized Korteweg-de Vries, Nonlinear Schrödinger, Wave and Schrödinger maps, Herbert Koch, Daniel Tataru, Monica Vişan
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
885023155
Dimensions
unknown
Extent
1 online resource (xii, 312 pages)
File format
unknown
Form of item
online
Isbn
9783034807357
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-0348-0736-4
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)885023155

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