رکورد قبلیرکورد بعدی

" Dispersive equations and nonlinear waves : "


Document Type : BL
Record Number : 603874
Doc. No : GBB475194b433093
Main Entry : Koch, Herbert
Title & Author : Dispersive equations and nonlinear waves : : Generalized Korteweg-de Vries, Nonlinear Schrödinger, Wave and Schrödinger maps /\ Herbert Koch, Daniel Tataru, Monica Vişan
Series Statement : Oberwolfach Seminars,; 45
Page. NO : 1 online resource (xii, 312 pages) :: illustrations
ISBN : 3034807368 (electronic bk.)
: : 9783034807364 (electronic bk.)
: 303480735X (print)
: 9783034807357
: 9783034807357 (print)
Bibliographies/Indexes : Includes bibliographical references
Abstract : 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
Subject : Nonlinear wave equations
LC Classification : ‭QA927‬
Added Entry : Tataru, Daniel,1967-
: Vişan, Monica
Added Entry : Ohio Library and Information Network
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