Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-21658
Amann, H; Quittner, P (2005). Optimal control problems with final observation governed by explosive parabolic equations. SIAM Journal on Control and Optimization, 44(4):1215-1238.
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Abstract
We study optimal control 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 essentially optimal. In particular, we also solve a long-standing open problem of Lions concerning singular systems.
©2005 Society for Industrial and Applied Mathematics
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| DDC: | 510 Mathematics |
| Uncontrolled Keywords: | optimal control problem, nonlinear parabolic equation, blow-up, final observation, optimality conditions, strong nonlinearities |
| Language: | English |
| Date: | 2005 |
| Deposited On: | 01 Feb 2010 08:51 |
| Last Modified: | 23 Nov 2012 16:35 |
| Publisher: | Society for Industrial and Applied Mathematics |
| ISSN: | 0363-0129 |
| Additional Information: | Copyright © 2005, Society for Industrial and Applied Mathematics |
| Publisher DOI: | 10.1137/S0363012903433450 |
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