Global Dynamics above the Ground State Energy for the Combined Power-Type Nonlinear Schrödinger Equations with Energy-Critical Growth at Low Frequencies.

Format:

Book

Author/Creator:

Akahori, Takafumi.

Contributor:

Ibrahim, Slim.

Kikuchi, Hiroaki.

Series:

Memoirs of the American Mathematical Society

Memoirs of the American Mathematical Society ; v.272

Language:

English

Subjects (All):

Schrödinger equation.

Nonlinear theories.

Physical Description:

1 online resource (142 pages)

Edition:

1st ed.

Place of Publication:

Providence : American Mathematical Society, 2021.

Summary:

"We consider the combined power-type nonlinear Schrodinger equations with energy-critical growth, and study the solutions slightly above the ground state threshold at low frequencies, so that we obtain a so-called nine-set theory developed by Nakanishi and Schlag"-- Provided by publisher.

Contents:

Cover

Title page

Chapter 1. Introduction

Chapter 2. Properties of Ground State

Chapter 3. Proof of Theorem 1.0.1

Chapter 4. Decomposition around ground state

Chapter 5. Ejection lemma

Chapter 6. Modified distance function

Chapter 7. One-pass theorem

Chapter 8. Proof of Theorem 3.0.1

Appendix A. Existence of ground state

Appendix B. Fundamental properties of the linearized operators

Appendix C. Inequalities for the radial functions

Appendix D. Small-data theory

Appendix E. Long-time perturbation theory

Appendix F. Table of notation

Bibliography

Back Cover.

Notes:

Includes bibliographical references.

Description based on publisher supplied metadata and other sources.

ISBN:

9781470467470

147046747X

OCLC:

1285169231