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

Nakao Hayashi, Hidetake Uchida, Pavel Naumkin

研究成果: Conference contribution

抄録

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 → ∞.

本文言語English
ホスト出版物のタイトルInternational Seminar
ホスト出版物のサブタイトルDay on Diffraction - Proceedings
編集者V.E. Grikuro, V.M. Babic, I.V. Androno, V.S. Buldyrev, A.P. Kiselev
出版社Institute of Electrical and Electronics Engineers Inc.
ページ57-64
ページ数8
ISBN(電子版)5799701569, 9785799701567
DOI
出版ステータスPublished - 1999 1 1
外部発表はい
イベントInternational Seminar: Day on Diffraction, IS-DoD 1999 - St. Petersburg, Russian Federation
継続期間: 1999 6 11999 6 3

出版物シリーズ

名前International 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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