Semiclassical standing waves with clustering peaks for nonlinear schrodinger equations /
Byeon, Jaeyoung, 1966-
Semiclassical standing waves with clustering peaks for nonlinear schrodinger equations / [electronic resource] Jaeyoung Byeon, Kazunaga Tanaka. - 1 online resource (pages cm.) - Memoirs of the American Mathematical Society, v. 1076 0065-9266 (print); 1947-6221 (online); .
Includes bibliographical references.
Chapter 1. Introduction and results Chapter 2. Preliminaries Chapter 3. Local centers of mass Chapter 4. Neighborhood $\Omega _\varepsilon (\rho ,R,\beta )$ and minimization for a tail of $u$ in $\Omega _\varepsilon $ Chapter 5. A gradient estimate for the energy functional Chapter 6. Translation flow associated to a gradient flow of $V(x)$ on $^N$ Chapter 7. Iteration procedure for the gradient flow and the translation flow Chapter 8. An $(N+1)\ell _0$-dimensional initial path and an intersection result Chapter 9. Completion of the proof of Theorem 1.3 Chapter 10. Proof of Proposition 8.3 Chapter 11. Proof of Lemma 6.1 Chapter 12. Generalization to a saddle point setting
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2014
Mode of access : World Wide Web
9781470415303 (online)
Gross-Pitaevskii equations.
Schrödinger equation.
Standing waves.
Cluster analysis.
QC174.26.W28 / B94 2014
530.12/4
Semiclassical standing waves with clustering peaks for nonlinear schrodinger equations / [electronic resource] Jaeyoung Byeon, Kazunaga Tanaka. - 1 online resource (pages cm.) - Memoirs of the American Mathematical Society, v. 1076 0065-9266 (print); 1947-6221 (online); .
Includes bibliographical references.
Chapter 1. Introduction and results Chapter 2. Preliminaries Chapter 3. Local centers of mass Chapter 4. Neighborhood $\Omega _\varepsilon (\rho ,R,\beta )$ and minimization for a tail of $u$ in $\Omega _\varepsilon $ Chapter 5. A gradient estimate for the energy functional Chapter 6. Translation flow associated to a gradient flow of $V(x)$ on $^N$ Chapter 7. Iteration procedure for the gradient flow and the translation flow Chapter 8. An $(N+1)\ell _0$-dimensional initial path and an intersection result Chapter 9. Completion of the proof of Theorem 1.3 Chapter 10. Proof of Proposition 8.3 Chapter 11. Proof of Lemma 6.1 Chapter 12. Generalization to a saddle point setting
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2014
Mode of access : World Wide Web
9781470415303 (online)
Gross-Pitaevskii equations.
Schrödinger equation.
Standing waves.
Cluster analysis.
QC174.26.W28 / B94 2014
530.12/4