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Semiclassical Standing Waves with Clustering Peaks for Nonlinear Schrodinger Equations

Bag om Semiclassical Standing Waves with Clustering Peaks for Nonlinear Schrodinger Equations

Examines the following singularly perturbed problem: - 2 ?u 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 .

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  • Sprog:
  • Engelsk
  • ISBN:
  • 9780821891636
  • Indbinding:
  • Paperback
  • Sideantal:
  • 89
  • Udgivet:
  • 30. april 2014
  • Størrelse:
  • 178x254x0 mm.
  • Vægt:
  • 164 g.
Leveringstid: Ukendt - mangler pt.

Beskrivelse af Semiclassical Standing Waves with Clustering Peaks for Nonlinear Schrodinger Equations

Examines the following singularly perturbed problem: - 2 ?u 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 .

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