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广义Davey-Stewartson方程组初值问题的解和散射算子的存在性 被引量:4

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摘要 讨论椭圆-椭圆、双曲 椭圆型的Davey Stewartson方程初值问题的Hs 解和散射算子在Hs 空间的存在性 .证明了在任意初值下局部解的存在惟一性 ;对初值属于Hs 空间的带形区域的情况 ,得到整体解的存在惟一性 ;类似地 ,散射算子将Hs空间的带形区域映射到Hs
出处 《中国科学(A辑)》 CSCD 北大核心 2001年第5期413-421,共9页 Science in China(Series A)
基金 国家自然科学基金!资助项目 (批准号 :1990 10 0 7)
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