WIAS Preprint No. 2185, (2015)

Optimal control of doubly nonlinear evolution equations governed by subdifferentials without uniqueness of solutions


  • Farshbaf Shaker, Mohammad Hassan
  • Yamazaki, Noriaki

2010 Mathematics Subject Classification

  • 35K86 49J20 49J40


  • optimal control, doubly nonlinear evolution equations, subdifferentials, without uniqueness




In this paper we study an optimal control problem for a doubly nonlinear evolution equation governed by time-dependent subdifferentials. We prove the existence of solutions to our equation. Also, we consider an optimal control problem without uniqueness of solutions to the state system. Then, we prove the existence of an optimal control which minimizes the nonlinear cost functional. Moreover, we apply our general result to some model problem.

Appeared in

  • System Modeling and Optimization, 27th IFIP TC 7 Conference, CSMO 2015, Sophia Antipolis, France, June 29 - July 3, 2015, Revised Selected Papers, L. Bociu, J.-A. Désidéri, A. Habbal, eds., Springer International Publishing AG, Cham, pp. 261-271

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