The Resource Nonlinear dispersive equations : local and global analysis, Terence Tao
Nonlinear dispersive equations : local and global analysis, Terence Tao
Resource Information
The item Nonlinear dispersive equations : local and global analysis, Terence Tao represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Nonlinear dispersive equations : local and global analysis, Terence Tao represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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 realworld 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 energycritical dispersive equations from large data. The book is suitable for a graduate course on nonlinear PDE."Publisher's website
 Language
 eng
 Extent
 xv, 373 pages
 Note
 "Published for the Conference Board of the Mathematical Sciences."
 Isbn
 9780821841433
 Label
 Nonlinear dispersive equations : local and global analysis
 Title
 Nonlinear dispersive equations
 Title remainder
 local and global analysis
 Statement of responsibility
 Terence Tao
 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 realworld 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 energycritical dispersive equations from large data. The book is suitable for a graduate course on nonlinear PDE."Publisher's website
 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
 Note
 "Published for the Conference Board of the Mathematical Sciences."
 Bibliography note
 Includes bibliographical references (pages 363373)
 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
 Note
 "Published for the Conference Board of the Mathematical Sciences."
 Bibliography note
 Includes bibliographical references (pages 363373)
 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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Nonlineardispersiveequationslocalandglobal/CAsbaB4LAus/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Nonlineardispersiveequationslocalandglobal/CAsbaB4LAus/">Nonlinear dispersive equations : local and global analysis, Terence Tao</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>