Optimal Control of Parabolic Hemivariational Inequalities |
| |
Authors: | S Migórski A Ochal |
| |
Institution: | (1) Institute of Computer Science, Jagiellonian University, Cracow, Poland |
| |
Abstract: | In this paper we study the optimal control of systems driven by parabolic hemivariational inequalities. First, we establish the existence of solutions to a parabolic hemivariational inequality which contains nonlinear evolution operator. Introducing a control variable in the second member and in the multivalued term, we prove the upper semicontinuity property of the solution set of the inequality. Then we use this result and the direct method of the calculus of variations to show the existence of optimal admissible state–control pairs. |
| |
Keywords: | Compact embedding Control problem Hemivariational inequality Monotone operator Multifunction Parabolic equation Selection Semicontinuity |
本文献已被 SpringerLink 等数据库收录! |