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

Nakao Hayashi, Hitoshi Hirata

Research output: Contribution to journalArticlepeer-review

17 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 H5/2 with a condition such that the L2 norm of the data is sufficiently small.

Original languageEnglish
Pages (from-to)563-581
Number of pages19
JournalProceedings of the Edinburgh Mathematical Society
Volume40
Issue number3
DOIs
Publication statusPublished - 1997
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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