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An inverse coefficient problem for a nonlinear parabolic variational inequality

โœ Scribed by Alemdar Hasanov; Zhenhai Liu

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
244 KB
Volume
21
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

This study is related to inverse coefficient problems for a nonlinear parabolic variational inequality with an unknown leading coefficient in the equation for the gradient of the solution. An inverse method, involving minimization of a least-squares cost functional, is developed to identify the unknown coefficient. It is proved that the solution of the corresponding direct problem depends continuously on the coefficient. On the basis of this, the existence of a quasisolution of the inverse problem is obtained in the appropriate class of admissible coefficients.

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