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).
Kenig , The focusing energy-critical wave equation , in Harmonic Analysis, Partial Differential Equations and Applications, Springer International Publi shing, 2017, 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).