LEADER 02715nam 22005533 450 001 9910964392003321 005 20231110215855.0 010 $a9781470467470 010 $a147046747X 035 $a(CKB)4940000000616388 035 $a(MiAaPQ)EBC6798075 035 $a(Au-PeEL)EBL6798075 035 $a(RPAM)22488288 035 $a(PPN)25997207X 035 $a(OCoLC)1285169231 035 $a(EXLCZ)994940000000616388 100 $a20211214d2021 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGlobal Dynamics above the Ground State Energy for the Combined Power-Type Nonlinear Schrödinger Equations with Energy-Critical Growth at Low Frequencies 205 $a1st ed. 210 1$aProvidence :$cAmerican Mathematical Society,$d2021. 210 4$d©2021. 215 $a1 online resource (142 pages) 225 1 $aMemoirs of the American Mathematical Society ;$vv.272 311 08$a9781470448721 311 08$a1470448726 320 $aIncludes bibliographical references. 327 $aCover -- 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. 330 $a"We consider the combined power-type nonlinear Schrodinger equations with energy-critical growth, and study the solutions slightly above the ground state threshold at low frequencies, so that we obtain a so-called nine-set theory developed by Nakanishi and Schlag"--$cProvided by publisher. 410 0$aMemoirs of the American Mathematical Society 606 $aSchro?dinger equation 606 $aNonlinear theories 615 0$aSchro?dinger equation. 615 0$aNonlinear theories. 676 $a530.12/4 700 $aAkahori$b Takafumi$01801107 701 $aIbrahim$b Slim$01801108 701 $aKikuchi$b Hiroaki$01801109 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910964392003321 996 $aGlobal Dynamics above the Ground State Energy for the Combined Power-Type Nonlinear Schrödinger Equations with Energy-Critical Growth at Low Frequencies$94346164 997 $aUNINA