Optimal Control Problems with Final Observation Governed by Explosive Parabolic Equations
نویسندگان
چکیده
We study optimal controls problems with final observation. The governing parabolic equations or systems involve superlinear nonlinearities and their solutions may blow up in finite time. Our proof of the existence, regularity and optimality conditions for an optimal pair is based on uniform a priori estimates for the approximating solutions. Our conditions on the growth of the nonlinearity are essentially optimal. In particular, we also solve a longstanding open problem of J.L. Lions concerning singular systems.
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عنوان ژورنال:
- SIAM J. Control and Optimization
دوره 44 شماره
صفحات -
تاریخ انتشار 2005