Global existence and asymptotic behaviour in time of small solutions to the elliptic - hyperbolic Davey - Stewartson system
Global existence and asymptotic behaviour in time of small solutions to the elliptic - hyperbolic Davey - Stewartson system
复制标题
DOI：
10.1088/0951-7715/9/6/001
复制
发表时间：
1996-11
期刊：
影响因子：
1.7
通讯作者：
N. Hayashi;Hitoshi Hirata
中科院分区：
文献类型：
--
作者：
N. Hayashi;Hitoshi Hirata
研究椭圆-双曲Davey - Stewartson系统的初值问题，其中，u是复值函数，u是实值函数。当上述系统在逆散射文献中称为DSI方程时。本文的目的是证明该系统在通常加权Sobolev空间中的小解的整体存在性，并进一步证明了该系统解的时间衰减估计，使得
We study the initial value problem for the elliptic - hyperbolic Davey - Stewartson system where , , u is a complex valued function and is a real valued function. When the above system is called a DSI equation in the inverse scattering literature. Our purpose in this paper is to prove global existence of small solutions to this system in the usual weighted Sobolev space , where Furthermore, we prove time decay estimates of solutions to the system such that