2024-11-01 Friday Sign in CN

Activities
Infinite horizon optimal control for a general class of semilinear parabolic equations
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Reporter:
Eduardo Casas, Professor, Universidad de Cantabria, spain
Inviter:
Wei Gong, Associate Professor
Subject:
Infinite horizon optimal control for a general class of semilinear parabolic equations
Time and place:
15:00-16:00 May 10 (Friday), Zoom Online meeting: Code: 830 1494 4929 Password: 563633
Abstract:

In this talk I will present a class of infinite horizon optimal control problems subject to semilinear parabolic equations. Existence of a solution, first and second order optimality conditions are obtained in the presence of constraints on the controls, which can be either pointwise in space-time, or pointwise in time and $L^2$ in space. These results rely on a new $L^\infty$ estimate for nonlinear parabolic equations in an essential manner. Finally, the approximation by finite horizon control problems is considered.