Backward uniqueness for parabolic equations

被引：151

作者：

Escauriaza, L ^{[1
]}

Seregin, G

Sverak, V

机构：

[1] EHU, UPV, Dept Matemat, Bilbao 48080, Spain

[2] VA Steklov Math Inst, St Petersburg 191011, Russia

[3] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2003年 / 169卷 / 02期

关键词：

D O I：

10.1007/s00205-003-0263-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that a function u satisfying \partial derivative(t) + Deltau\ less than or equal to M (\u\ + \delu\), \u(x, t)\ less than or equal to Me-M\x\2 in (R-n \B-R) x [0, T] and u(x, 0) = 0 for x is an element of R-n \ B-R must vanish identically in R-n\B-R x [0, T].

引用

页码：147 / 157

页数：11

共 21 条

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[2] A strong unique continuation theorem for parabolic equations [J].