Convergence results for a nonlinear parabolic control problem |
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| Authors: | V Arnǎutu D Hömberg J Sokolowski |
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| Institution: | 1. Faculty of Mathematics , University “Al.I.Cuza” , Ia?i, Ro, 6600, Romania E-mail: varnautu@uaic.ro;2. Weierstrass Institute for Applied Analysis and Stochastics , Mohrenstra?e 39, Berlin, D–10117, Germany E-mail: hoemberg@wias-berlin.de;3. Institut Elie Cartan, Laboratoire de Mathématiques , Université Henri Poincaré Nancy I , B.P.239, Vandoeuvre lés Nancy Cedex, 54506, France E-mail: sokolows@iecn.u-nancy.fr |
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| Abstract: | We investigate a general control problem for a class of nonlinear parabolic evolution equations. Applications are related to solid-solid and solid-liquid phase transitions. We prove compactness of the solution operators, existence of optimal controls and show convergence of the finite-dimensional approximate control problem to the original one. |
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