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Optimal control theory and advanced optimality conditions for a diffuse interface model of tumor growth

Ebenbeck, Matthias ; Knopf, Patrik



Abstract

We investigate a distributed optimal control problem for a diffuse interface model for tumor growth. The model consists of a Cahn-Hilliard type equation for the phase field variable, a reaction diffusion equation for the nutrient concentration and a Brinkman type equation for the velocity field. These PDEs are endowed with homogeneous Neumann boundary conditions for the phase field variable, the ...

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