Optimal Control Problems with Final Observation Governed by Explosive Parabolic Equations
نویسندگان
چکیده
منابع مشابه
Optimal Control Problems with Final Observation Governed by Explosive Parabolic Equations
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 ...
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In this paper, we discuss the a posteriori error estimates of the mixed finite element method for quadratic optimal control problems governed by linear parabolic equations. The state and the co-state are discretized by the high order Raviart-Thomas mixed finite element spaces and the control is approximated by piecewise constant functions. We derive a posteriori error estimates for both the sta...
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ژورنال
عنوان ژورنال: SIAM Journal on Control and Optimization
سال: 2005
ISSN: 0363-0129,1095-7138
DOI: 10.1137/s0363012903433450