Unique Continuation for Schrödinger Evolutions, with Applications to Profiles of Concentration and Traveling Waves View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2011-07

AUTHORS

L. Escauriaza, C. E. Kenig, G. Ponce, L. Vega

ABSTRACT

We prove unique continuation properties for solutions of the evolution Schrödinger equation with time dependent potentials. As an application of our method we also obtain results concerning the possible concentration profiles of blow up solutions and the possible profiles of the traveling waves solutions of semi-linear Schrödinger equations.

PAGES

487-512

References to SciGraph publications

  • 1983-12. Nonlinear scalar field equations, I existence of a ground state in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1977-06. Existence of solitary waves in higher dimensions in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1996-03. Nonexistence of travelling wave solutions to nonelliptic nonlinear schrödinger equations in JOURNAL OF NONLINEAR SCIENCE
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00220-011-1256-3

    DOI

    http://dx.doi.org/10.1007/s00220-011-1256-3

    DIMENSIONS

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