Dispersive Equations and Nonlinear Waves Koch Herbert
Dispersive Equations and Nonlinear Waves Koch Herbert The first part of the book provides an introduction to key tools and techniques in dispersive equations: Strichartz estimates, bilinear…
Specifikacia Dispersive Equations and Nonlinear Waves Koch Herbert
Dispersive Equations and Nonlinear Waves Koch Herbert
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. 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. The energy-critical nonlinear Schrodinger equation, global solutions to the defocusing problem, and scattering are the focus of the second part.
The third part describes wave and Schrodinger maps. This includes refined/inverse Strichartz estimates, the existence and almost periodicity of minimal blow up solutions, and the development of long-time Strichartz inequalities. Starting by building heuristics about multilinear
Nonlinear Wave Equations
Nonlinear Dynamics and Chaos
Light and Waves