MathOptimal control for renormalized solutions of nonlinear evolution equations
1 Introduction We aim to develop a comprehensive theory of optimal control for nonlinear parabolic equations of Leray-Lions type, whose solutions may fail to exist in the classical weak sense for low regularity data. In this case, the appropriate notion of solution is the renormalized solution, introduced by Lions and Di Perna [8] for […] 1 Introduction We aim to develop a comprehensive theory of optimal control for nonlinear parabolic equations of Leray-Lions type, whose solutions may fail to exist in the classical weak sense for low regularity data. In this case, the appropriate notion of solution is the renormalized solution, introduced by Lions and Di Perna [8] for […]
