LOW-REGULARITY SCHRODINGER MAPS

被引：0

作者：

Ionescu, Alexandru D. ^{[1
]}

Kenig, Carlos E. ^{[2
]}

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

[2] Univ Chicago, Dept Math, Chicago, IL 60637 USA

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2006年 / 19卷 / 11期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the Schrodinger map initial-value problem {partial derivative(t)s = s x Delta(x)s on R-d x [-1, 1]; s(0) = s(0) is locally well posed for small data s(0) is an element of H-Q(sigma 0)(R-d; S-2), sigma(0) > (d + 1)/2, Q is an element of S-2.

引用

页码：1271 / 1300

页数：30

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