Coverart for item
The Resource Nonlinear dispersive equations : local and global analysis, Terence Tao

Nonlinear dispersive equations : local and global analysis, Terence Tao

Label
Nonlinear dispersive equations : local and global analysis
Title
Nonlinear dispersive equations
Title remainder
local and global analysis
Statement of responsibility
Terence Tao
Creator
Contributor
Subject
Language
eng
Summary
"Among nonlinear PDEs, dispersive and wave equations form an important class of equations. These include the nonlinear Schrodinger equation, the nonlinear wave equation, the Korteweg de Vries equation, and the wave maps equation. This book is an introduction to the methods and results used in the modern analysis (both locally and globally in time) of the Cauchy problem for such equations. Starting only with a basic knowledge of graduate real analysis and Fourier analysis, the text first presents basic nonlinear tools such as the bootstrap method and perturbation theory in the simpler context of nonlinear ODE, then introduces the harmonic analysis and geometric tools used to control linear dispersive PDE. These methods are then combined to study four model nonlinear dispersive equations. Through extensive exercises, diagrams, and informal discussion, the book gives a rigorous theoretical treatment of the material, the real-world intuition and heuristics that underlie the subject, as well as mentioning connections with other areas of PDE, harmonic analysis, and dynamical systems. As the subject is vast, the book does not attempt to give a comprehensive survey of the field, but instead concentrates on a representative sample of results for a selected set of equations, ranging from the fundamental local and global existence theorems to very recent results, particularly focusing on the recent progress in understanding the evolution of energy-critical dispersive equations from large data. The book is suitable for a graduate course on nonlinear PDE."--Publisher's website
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1975-
http://library.link/vocab/creatorName
Tao, Terence
Dewey number
  • 510 s
  • 530.12/4
Illustrations
illustrations
Index
no index present
LC call number
  • QA1
  • QA927
LC item number
.R33 no. 106
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
Conference Board of the Mathematical Sciences
Series statement
Conference Board of the Mathematical Sciences regional conference series in mathematics,
Series volume
no. 106
http://library.link/vocab/subjectName
  • Nonlinear wave equations
  • Differential equations, Partial
Label
Nonlinear dispersive equations : local and global analysis, Terence Tao
Instantiates
Publication
Note
"Published for the Conference Board of the Mathematical Sciences."
Bibliography note
Includes bibliographical references (pages 363-373)
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
65165502
Dimensions
26 cm
Extent
xv, 373 pages
Isbn
9780821841433
Isbn Type
(alk. paper)
Lccn
2006042820
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other control number
9780821841433
Other physical details
illustrations
Label
Nonlinear dispersive equations : local and global analysis, Terence Tao
Publication
Note
"Published for the Conference Board of the Mathematical Sciences."
Bibliography note
Includes bibliographical references (pages 363-373)
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
65165502
Dimensions
26 cm
Extent
xv, 373 pages
Isbn
9780821841433
Isbn Type
(alk. paper)
Lccn
2006042820
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other control number
9780821841433
Other physical details
illustrations

Library Locations

    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
Processing Feedback ...