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

• Autore: Akahori Takafumi
• Pubblicazione: Providence : , : American Mathematical Society, , 2021; ©2021
• Edizione: 1st ed.
• Descrizione fisica: 1 online resource (142 pages)
• Disciplina: 530.12/4
• Soggetto topico: Schrödinger equation; Nonlinear theories
• Altri autori: IbrahimSlim KikuchiHiroaki
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: 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.
• Sommario/riassunto: "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"--
• Titolo autorizzato: Global Dynamics above the Ground State Energy for the Combined Power-Type Nonlinear Schrödinger Equations with Energy-Critical Growth at Low Frequencies
• ISBN: 9781470467470; 147046747X
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910964392003321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society