日時: 2015年3月26日(木)16:20-17:20
場所: 京都教育大学 A棟4階 1A413教室
講演者: Pierluigi Colli 氏 (Department of Mathematics, The University of Pavia)
題目: Optimal control of phase field equations with dynamic boundary conditions and possibly singular potentials
The talk reports on an optimal control problems for the Allen-Cahn or Cahn-Hiilliardequations with a nonlinear dynamic boundary condition involving the Laplace-Beltrami operator. The nonlinearities both in the bulk and on the boundary can be singular, i.e., they may range from the derivative of logarithmic potentials confined in [-1,1] to the subdifferentialof the indicator function of the interval [-1,1] up to a concave perturbation. Existence of optimal controls and first-order necessary optimality conditions are discussed. The presented results arise from collaborations with M. H. Farshbaf-Shaker, G. Gilardiand J. Sprekels.
日本学術振興会 二国間交流事業 平成 26-27 年度 JSPS-CNR (日本-イタリア) 二国間共同研究 『発展方程式に対する新しい変分法の展開とその応用』によるセミナーです。詳細は こちら