Optimization with Allen-Cahn variational inequalities (Developments of the theory of evolution equations as the applications to the analysis for nonlinear phenomena)
M. Hassan Farshbaf-Shaker · Institutional Repositories DataBase (IRDB) · 2016
optimization problems governed by $Allen\sim$ Cahn systems in- cluding elastic effects are formulated and first-order necessary optimality conditions are presented.Smooth as well as obstacle potentials are con- sidered, where the latter leads to phase field MPECs.