Semiclassical Standing Waves with Clustering Peaks for Nonlinear Schrodinger Equations

Häftad, Engelska, 2014

1 149 kr

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The authors study the following singularly perturbed problem: −ϵ 2 Δu V(x)u=f(u) in R N . Their main result is the existence of a family of solutions with peaks that cluster near a local maximum of V(x) . A local variational and deformation argument in an infinite dimensional space is developed to establish the existence of such a family for a general class of nonlinearities f .

Produktinformation

Utgivningsdatum2014-09-22
Mått178 x 254 x undefined mm
Vikt164 g
FormatHäftad
SpråkEngelska
SerieMemoirs of the American Mathematical Society
FörlagAmerican Mathematical Society
ISBN9780821891636

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Beräkning och matematisk analys inom Naturvetenskap och teknik

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