Carleman estimates and unique continuation property for the anisotropic differential-operator equations

被引：0

作者：

Shakhmurov, Veli B. ^{[1
]}

机构：

[1] Okan Univ, Dept Math, TR-34959 Istanbul, Turkey

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2008年 / 51卷 / 07期

关键词：

Carleman estimates; unique continuation; embedding theorems; Banach-valued function spaces; differential operator equations; maximal L-p-regularity; operator-valued Fourier multipliers; interpolation of Banach spaces;

D O I：

10.1007/s11425-008-0001-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The unique continuation theorems for the anisotropic partial differential-operator equations with variable coefficients in Banach-valued L (p) -spaces are studied. To obtain the uniform maximal regularity and the Carleman type estimates for parameter depended differential-operator equations, the sufficient conditions are founded. By using these facts, the unique continuation properties are established. In the application part, the unique continuation properties and Carleman estimates for finite or infinite systems of quasielliptic partial differential equations are studied.

引用

页码：1215 / 1231

页数：17

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