An inverse coefficient problem for a parabolic hemivariational inequality

作者：Migorski Stanislaw^*; Ochal Anna

来源：APPLICABLE ANALYSIS, 2010, 89(2): 243-256.

DOI：10.1080/00036810902889559

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

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.

• 出版日期2010