Existence of globally optimal solutions and first- and second-order optimality conditions are established for optimal control of the H^1-critical defocusing semilinear wave equation in 3D with Trust-Region-type L2 control constraints and sparsity regularization in L1(0,T;L2).
Heisenberg , Mesonenerzeugung als Stoßwellenproblem , Zeitschrift f¨ ur Physik A Hadrons and Nuclei, 133 (1952), pp
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Optimal control of an energy-critical semilinear wave equation in 3D with spatially integrated control constraints
Existence of globally optimal solutions and first- and second-order optimality conditions are established for optimal control of the H^1-critical defocusing semilinear wave equation in 3D with Trust-Region-type L2 control constraints and sparsity regularization in L1(0,T;L2).