IDENTIFICATION OF THE MEMORY KERNEL IN THE STRONGLY DAMPED WAVE EQUATION BY A FLUX CONDITION

被引：15

作者：

Colombo, Fabrizio ^{[1
]}

Guidetti, Davide ^{[2
]}

机构：

[1] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy

[2] Univ Bologna, Dipartimento Matemat, I-40126 Bologna, Italy

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2009年 / 8卷 / 02期

关键词：

Strongly damped wave equation with memory; identification problem; global in time existence and uniqueness result; PHASE-FIELD MODEL; DEPENDENT RELAXATION KERNELS; INVERSE PROBLEM; ATTRACTORS; TIME;

D O I：

10.3934/cpaa.2009.8.601

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study an abstract inverse problem of reconstruction of the solution of a semilinear mixed integrodifferential parabolic problem, together with a convolution kernel. The supplementary information required to solve the problem also involves a convolution term with the same unknown kernel. The abstract results are applicable to the identification of a memory kernel in a strongly damped wave equation using a flux condition.

引用

页码：601 / 620

页数：20

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