Dispersive Equations and Nonlinear Waves

Dispersive Equations and Nonlinear Waves
Author :
Publisher : Birkhäuser
Total Pages : 0
Release :
ISBN-10 : 303480735X
ISBN-13 : 9783034807357
Rating : 4/5 (357 Downloads)

Book Synopsis Dispersive Equations and Nonlinear Waves by : Herbert Koch

Download or read book Dispersive Equations and Nonlinear Waves written by Herbert Koch and published by Birkhäuser. This book was released on 2014-07-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.​


Dispersive Equations and Nonlinear Waves Related Books

Dispersive Equations and Nonlinear Waves
Language: en
Pages: 0
Authors: Herbert Koch
Categories: Mathematics
Type: BOOK - Published: 2014-07-31 - Publisher: Birkhäuser

GET EBOOK

The first part of the book provides an introduction to key tools and techniques in dispersive equations: Strichartz estimates, bilinear estimates, modulation an
Korteweg-de Vries and Nonlinear Schrödinger Equations: Qualitative Theory
Language: en
Pages: 153
Authors: Peter E. Zhidkov
Categories: Mathematics
Type: BOOK - Published: 2003-07-01 - Publisher: Springer

GET EBOOK

- of nonlinear the of solitons the the last 30 theory partial theory During years - has into solutions of a kind a differential special equations (PDEs) possess
Introduction to Nonlinear Dispersive Equations
Language: en
Pages: 308
Authors: Felipe Linares
Categories: Mathematics
Type: BOOK - Published: 2014-12-15 - Publisher: Springer

GET EBOOK

This textbook introduces the well-posedness theory for initial-value problems of nonlinear, dispersive partial differential equations, with special focus on two
Korteweg-De Vries and Nonlinear Schrodinger Equations
Language: en
Pages: 164
Authors: Peter E. Zhidkov
Categories:
Type: BOOK - Published: 2014-01-15 - Publisher:

GET EBOOK

Nonlinear Waves
Language: en
Pages: 372
Authors: Lokenath Debnath
Categories: Mathematics
Type: BOOK - Published: 2009-01-08 - Publisher: Cambridge University Press

GET EBOOK

The outcome of a conference held in East Carolina University in June 1982, this book provides an account of developments in the theory and application of nonlin