State Constrained Control-Affine Parabolic Problems II: Second Order Sufficient Optimality Conditions

DOI10.1137/19M1286906zbMath1465.49003arXiv1909.05056OpenAlexW3154019679MaRDI QIDQ4990319

Axel Kröner, Joseph Frédéric Bonnans, M.-Soledad Aronna

Publication date: 28 May 2021

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

Full work available at URL: https://arxiv.org/abs/1909.05056

zbMATH Keywords

state constraintssemilinear parabolic equationscontrol-affine problemsoptimal control of partial differential equationssecond order analysisGoh transform

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Existence theories for optimal control problems involving partial differential equations (49J20) Semilinear parabolic equations (35K58)

Related Items

State-constrained control-affine parabolic problems. I. First and second order necessary optimality conditions ⋮ New regularity results and finite element error estimates for a class of parabolic optimal control problems with pointwise state constraints

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