Optimal Control Problems with Final Observation Governed by Explosive Parabolic Equations

DOI10.1137/S0363012903433450zbMath1110.49004MaRDI QIDQ3427519

Pavol Quittner, Herbert Amann

Publication date: 20 March 2007

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

zbMATH Keywords

nonlinear parabolic equationoptimality conditionsblow-upoptimal control problemfinal observationstrong nonlinearities

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonlinear parabolic equations (35K55) Regularity of solutions in optimal control (49N60) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (3)

A priori bounds, nodal equilibria and connecting orbits in indefinite superlinear parabolic problems ⋮ Optimal Control of the Thermistor Problem in Three Spatial Dimensions, Part 1: Existence of Optimal Solutions ⋮ Optimal control problems for some ordinary differential equations with behavior of blowup or quenching

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