02715nam 22005533 450 991096439200332120231110215855.09781470467470147046747X(CKB)4940000000616388(MiAaPQ)EBC6798075(Au-PeEL)EBL6798075(RPAM)22488288(PPN)25997207X(OCoLC)1285169231(EXLCZ)99494000000061638820211214d2021 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierGlobal Dynamics above the Ground State Energy for the Combined Power-Type Nonlinear Schrödinger Equations with Energy-Critical Growth at Low Frequencies1st ed.Providence :American Mathematical Society,2021.©2021.1 online resource (142 pages)Memoirs of the American Mathematical Society ;v.2729781470448721 1470448726 Includes bibliographical references.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."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.Memoirs of the American Mathematical Society Schrödinger equationNonlinear theoriesSchrödinger equation.Nonlinear theories.530.12/4Akahori Takafumi1801107Ibrahim Slim1801108Kikuchi Hiroaki1801109MiAaPQMiAaPQMiAaPQBOOK9910964392003321Global Dynamics above the Ground State Energy for the Combined Power-Type Nonlinear Schrödinger Equations with Energy-Critical Growth at Low Frequencies4346164UNINA