Local existence in time of small solutions to the elliptic-hyperbolic davey-stewartson system in the usual sobolev space

Nakao Hayashi; Hitoshi Hirata

doi:10.1017/s0013091500024020

Local existence in time of small solutions to the elliptic-hyperbolic davey-stewartson system in the usual sobolev space

Nakao Hayashi, Hitoshi Hirata

SCI - Mathematics

Sophia University

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

Abstract

We study the initial value problem to the Davey-Stewartson system for the elliptic-hyperbolic case in the usual Sobolev space. We prove local existence and uniqueness H^5/2 with a condition such that the L² norm of the data is sufficiently small.

Original language	English
Pages (from-to)	563-581
Number of pages	19
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	40
Issue number	3
DOIs	https://doi.org/10.1017/s0013091500024020
Publication status	Published - 1997

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title = "Local existence in time of small solutions to the elliptic-hyperbolic davey-stewartson system in the usual sobolev space",

abstract = "We study the initial value problem to the Davey-Stewartson system for the elliptic-hyperbolic case in the usual Sobolev space. We prove local existence and uniqueness H5/2 with a condition such that the L2 norm of the data is sufficiently small.",

author = "Nakao Hayashi and Hitoshi Hirata",

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AU - Hayashi, Nakao

AU - Hirata, Hitoshi

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Y1 - 1997

N2 - We study the initial value problem to the Davey-Stewartson system for the elliptic-hyperbolic case in the usual Sobolev space. We prove local existence and uniqueness H5/2 with a condition such that the L2 norm of the data is sufficiently small.

AB - We study the initial value problem to the Davey-Stewartson system for the elliptic-hyperbolic case in the usual Sobolev space. We prove local existence and uniqueness H5/2 with a condition such that the L2 norm of the data is sufficiently small.

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Local existence in time of small solutions to the elliptic-hyperbolic davey-stewartson system in the usual sobolev space

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