Analytic smoothing effect and global existence for elliptic hyperbolic Davey-Stewartson system

Nakao Hayashi, Hidetake Uchida, Pavel Naumkin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We study elliptic-hyperbolic Davey-Stewartson equation which is considered as nonlocal nonlinear Schrodinger equations with nonlinearities involving derivatives of unknown function in two space dimensions. We will show that solutions become analytic for any t ≠ 0 with respect to z if the data are small and decay exponentially when x → ∞.

Original languageEnglish
Title of host publicationInternational Seminar
Subtitle of host publicationDay on Diffraction - Proceedings
EditorsV.E. Grikuro, V.M. Babic, I.V. Androno, V.S. Buldyrev, A.P. Kiselev
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages57-64
Number of pages8
ISBN (Electronic)5799701569, 9785799701567
DOIs
Publication statusPublished - 1999 Jan 1
Externally publishedYes
EventInternational Seminar: Day on Diffraction, IS-DoD 1999 - St. Petersburg, Russian Federation
Duration: 1999 Jun 11999 Jun 3

Publication series

NameInternational Seminar: Day on Diffraction - Proceedings

Conference

ConferenceInternational Seminar: Day on Diffraction, IS-DoD 1999
CountryRussian Federation
CitySt. Petersburg
Period99/6/199/6/3

ASJC Scopus subject areas

  • Radiation
  • Acoustics and Ultrasonics
  • Atomic and Molecular Physics, and Optics

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