Semiclassical Standing Waves with Clustering Peaks for Nonlinear Schrodinger Equations

Jaeyoung Byeon, KAIST, Daejeon, Republic of Korea.Kazunaga Tanaka, Waseda University, Tokyo, Japan.

• Introduction and resultsPreliminariesLocal centers of massNeighborhood Ω ϵ (ρ,R,β) and minimization for a tail of u in Ω ϵA gradient estimate for the energy functionalTranslation flow associated to a gradient flow of V(x) on R NIteration procedure for the gradient flow and the translation flowAn (N 1)ℓ 0 -dimensional initial path and an intersection resultCompletion of the proof of Theorem 1.3Proof of Proposition 8.3Proof of Lemma 6.1Generalization to a saddle point settingBibliography