Borrow it
Coverart for item
The Resource Dispersive Equations and Nonlinear Waves : Generalized Korteweg--de Vries, Nonlinear Schrödinger, Wave and Schrödinger Maps, by Herbert Koch, Daniel Tataru, Monica Vişan, (electronic resource)

Dispersive Equations and Nonlinear Waves : Generalized Korteweg--de Vries, Nonlinear Schrödinger, Wave and Schrödinger Maps, by Herbert Koch, Daniel Tataru, Monica Vişan, (electronic resource)

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
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
by 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
IT-FiEUI
http://library.link/vocab/creatorDate
1962-
http://library.link/vocab/creatorName
Koch, Herbert
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorDate
  • 1967-.
  • 1979-.
http://library.link/vocab/relatedWorkOrContributorName
  • Tataru, Daniel
  • Vişan, Monica
  • SpringerLink (Online service)
Series statement
  • Oberwolfach Seminars,
  • Springer eBooks
Series volume
45
http://library.link/vocab/subjectName
  • Mathematics
  • Differential equations, Partial
Label
Dispersive Equations and Nonlinear Waves : Generalized Korteweg--de Vries, Nonlinear Schrödinger, Wave and Schrödinger Maps, by Herbert Koch, Daniel Tataru, Monica Vişan, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-0348-0736-4
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Control code
978-3-0348-0736-4
Dimensions
unknown
Extent
XII, 312 pages 1 illustrations
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783034807364
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-0348-0736-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1005787353
Label
Dispersive Equations and Nonlinear Waves : Generalized Korteweg--de Vries, Nonlinear Schrödinger, Wave and Schrödinger Maps, by Herbert Koch, Daniel Tataru, Monica Vişan, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-0348-0736-4
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Control code
978-3-0348-0736-4
Dimensions
unknown
Extent
XII, 312 pages 1 illustrations
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783034807364
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-0348-0736-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1005787353

Subject

Member of

Library Locations

    • Badia FiesolanaBorrow it
      Via dei Roccettini 9, San Domenico di Fiesole, 50014, IT
      43.803074 11.283055

Library Links

Structured data from the Bibframe namespace is licensed under the Creative Commons Attribution 4.0 International License by European University Institute. Additional terms may apply to data associated with third party namespaces.
Processing Feedback ...