CONTROL PROBLEMS FOR CONVECTION-DIFFUSION EQUATIONS WITH CONTROL LOCALIZED ON MANIFOLDS
作者： Phuong Anh Nguyen , Jean-Pierre Raymond
DOI: 10.1051/COCV:2001118
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摘要: We consider optimal control problems for convection-diffusion equations with a pointwise or localized on smooth manifold. prove optimality conditions the variable and position of control. do not suppose that coefficient convection term is regular bounded, we only it has regularity strong solutions Navier–Stokes equations. functionals an observation gradient state. To obtain have to trace adjoint state manifold belongs dual space. study equation, which equation measures as data, involves divergence Lp -vector fields, first without term, next use fixed point method deal complete
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