1997年10月

# Local existence in time of small solutions to the elliptic-hyperbolic Davey-Stewartson system in the usual Sobolev space

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
• N Hayashi
• ,
• H Hirata

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581

OXFORD UNIV PRESS

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 L-2 norm of the data is sufficiently small.

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