An inverse coefficient problem for a parabolic hemivariational inequality

被引：16

作者：

Migorski, Stanislaw ^{[1
]}

Ochal, Anna ^{[1
]}

机构：

[1] Jagiellonian Univ, Fac Math & Comp Sci, Inst Comp Sci, PL-30348 Krakow, Poland

来源：

APPLICABLE ANALYSIS | 2010年 / 89卷 / 02期

关键词：

parabolic; inverse; identification; non-convex; hemivariational inequality; coefficient; Clarke subdifferential; weak solution;

D O I：

10.1080/00036810902889559

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a class of identification problems for a non-linear parabolic boundary hemivariational inequality. Using the least square cost functionals, the problem is to identify an unknown coefficient which depends on the gradient of the solution. It is shown that the hemivariational inequality admits a unique weak solution, which depends continuously on the coefficient. The boundary condition is of a subdifferential type with non-convex and non-smooth potential. Existence of solutions to the inverse problems is established by using the direct method.

引用

页码：243 / 256

页数：14

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[4]

Gossez J.-P., 1993, Differ.Integral Equ., V6, P37