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- Publisher
- Springer Journals
- Subject
- Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics, Simulation
- ISSN
- 0095-4616
- eISSN
- 1432-0606
- DOI
- 10.1007/s002459900102
- Publisher site
- See Article on Publisher Site
Abstract
Abstract. In this paper we study optimal control problems governed by semilinear parabolic equations. We obtain necessary optimality conditions in the form of an exact Pontryagin's minimum principle for distributed and boundary controls (which can be unbounded) and bounded initial controls. These optimality conditions are obtained thanks to new regularity results for linear and nonlinear parabolic equations.
Journal
Applied Mathematics and Optimization – Springer Journals
Published: Apr 1, 1999
Keywords: Key words. Optimal control, Nonlinear boundary controls, Semilinear parabolic equations, Pontryagin's minimum principle, Unbounded controls.