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INVERSE COEFFICIENT PROBLEMS FOR PARABOLIC HEMIVARIATIONAL INEQUALITIES |
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| Authors: | Liu Zhenhai |
| Institution: | a Faculty of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning 530006, China b Departamento de Matemática, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso Chile |
| Abstract: | This paper is devoted to the class of inverse problems for a nonlinear parabolic hemivariational inequality. The unknown coefficient of the operator depends on the gradient of the solution and belongs to a set of admissible coefficients. It is proved that the convergence of solutions for the corresponding direct problems continuously depends on the coefficient convergence. Based on this result the existence of a quasisolution of the inverse problem is obtained. |
| Keywords: | parabolic hemivariational inequalities inverse coefficient problems existence of quasisolutions |
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