Del i serien Memoirs of the American Mathematical Society

Semiclassical Standing Waves with Clustering Peaks for Nonlinear Schrodinger Equations

Häftad, Engelska, 2014

1 629 kr

Slutsåld

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

Utgivningsdatum2014-04-30
Mått178 x 254 x undefined mm
Vikt164 g
FormatHäftad
SpråkEngelska
SerieMemoirs of the American Mathematical Society
Antal sidor89
FörlagAmerican Mathematical Society
ISBN9780821891636

Tillhör följande kategorier

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

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