Optimal Control of a Quasilinear Parabolic Equation and its Time Discretization

URN to cite this document:: urn:nbn:de:bvb:355-epub-536460
DOI to cite this document:: 10.5283/epub.53646

Blank, Luise ; Meisinger, Johannes

License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 31 Jan 2023 06:48

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Abstract

In this paper we discuss the optimal control of a quasilinear parabolic state equation. Its form is leaned on the kind of problems arising for example when controlling the anisotropic Allen–Cahn equation as a model for crystal growth. Motivated by this application we consider the state equation as a result of a gradient flow of an energy functional. The quasilinear term is strongly monotone and ...