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- Title
Continuous Differentiability of the Value Function of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems on L2(Ω) Under Control Constraints.
- Authors
Kunisch, Karl; Priyasad, Buddhika
- Abstract
An abstract framework guaranteeing the local continuous differentiability of the value function associated with optimal stabilization problems subject to abstract semilinear parabolic equations subject to a norm constraint on the controls is established. It guarantees that the value function satisfies the associated Hamilton–Jacobi–Bellman equation in the classical sense. The applicability of the developed framework is demonstrated for specific semilinear parabolic equations.
- Publication
Applied Mathematics & Optimization, 2022, Vol 85, Issue 2, p1
- ISSN
0095-4616
- Publication type
Academic Journal
- DOI
10.1007/s00245-022-09840-9