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

Nakao Hayashi; Hidetake Uchida; Pavel Naumkin

doi:10.1109/DD.1999.816184

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 proceeding › Conference 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 language	English
Title of host publication	International Seminar
Subtitle of host publication	Day on Diffraction - Proceedings
Editors	V.E. Grikuro, V.M. Babic, I.V. Androno, V.S. Buldyrev, A.P. Kiselev
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	57-64
Number of pages	8
ISBN (Electronic)	5799701569, 9785799701567
DOIs	https://doi.org/10.1109/DD.1999.816184
Publication status	Published - 1999 Jan 1
Externally published	Yes
Event	International Seminar: Day on Diffraction, IS-DoD 1999 - St. Petersburg, Russian Federation Duration: 1999 Jun 1 → 1999 Jun 3

Publication series

Name	International Seminar: Day on Diffraction - Proceedings

Conference

Conference	International Seminar: Day on Diffraction, IS-DoD 1999
Country/Territory	Russian Federation
City	St. Petersburg
Period	99/6/1 → 99/6/3

ASJC Scopus subject areas

Radiation
Acoustics and Ultrasonics
Atomic and Molecular Physics, and Optics

Access to Document

10.1109/DD.1999.816184

Cite this

Hayashi, N., Uchida, H., & Naumkin, P. (1999). Analytic smoothing effect and global existence for elliptic hyperbolic Davey-Stewartson system. In V. E. Grikuro, V. M. Babic, I. V. Androno, V. S. Buldyrev, & A. P. Kiselev (Eds.), International Seminar: Day on Diffraction - Proceedings (pp. 57-64). [816184] (International Seminar: Day on Diffraction - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/DD.1999.816184

Analytic smoothing effect and global existence for elliptic hyperbolic Davey-Stewartson system. / Hayashi, Nakao; Uchida, Hidetake; Naumkin, Pavel.

International Seminar: Day on Diffraction - Proceedings. ed. / V.E. Grikuro; V.M. Babic; I.V. Androno; V.S. Buldyrev; A.P. Kiselev. Institute of Electrical and Electronics Engineers Inc., 1999. p. 57-64 816184 (International Seminar: Day on Diffraction - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Hayashi, N, Uchida, H & Naumkin, P 1999, Analytic smoothing effect and global existence for elliptic hyperbolic Davey-Stewartson system. in VE Grikuro, VM Babic, IV Androno, VS Buldyrev & AP Kiselev (eds), International Seminar: Day on Diffraction - Proceedings., 816184, International Seminar: Day on Diffraction - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 57-64, International Seminar: Day on Diffraction, IS-DoD 1999, St. Petersburg, Russian Federation, 99/6/1. https://doi.org/10.1109/DD.1999.816184

Hayashi N, Uchida H, Naumkin P. Analytic smoothing effect and global existence for elliptic hyperbolic Davey-Stewartson system. In Grikuro VE, Babic VM, Androno IV, Buldyrev VS, Kiselev AP, editors, International Seminar: Day on Diffraction - Proceedings. Institute of Electrical and Electronics Engineers Inc. 1999. p. 57-64. 816184. (International Seminar: Day on Diffraction - Proceedings). doi: 10.1109/DD.1999.816184

Hayashi, Nakao ; Uchida, Hidetake ; Naumkin, Pavel. / Analytic smoothing effect and global existence for elliptic hyperbolic Davey-Stewartson system. International Seminar: Day on Diffraction - Proceedings. editor / V.E. Grikuro ; V.M. Babic ; I.V. Androno ; V.S. Buldyrev ; A.P. Kiselev. Institute of Electrical and Electronics Engineers Inc., 1999. pp. 57-64 (International Seminar: Day on Diffraction - Proceedings).

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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 → ∞.",

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

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