A Product Formula Approach to a Nonhomogeneous Boundary Optimal Control Problem Governed by Nonlinear Phase-field Transition System

Tommaso Benincasa (), Angelo Favini () and Costică Moroşanu ()
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Tommaso Benincasa: University of Bologna
Angelo Favini: University of Bologna
Costică Moroşanu: University of Iaşi

Journal of Optimization Theory and Applications, 2011, vol. 148, issue 1, No 2, 14-30

Abstract: Abstract The paper establishes existence, uniqueness and regularity for the solution of a phase-field transition system with non-homogeneous Cauchy-Neumann boundary conditions. Moreover, some estimates for the solution are given. The non-linear parabolic problem considered here can be used to modeling the solidification (liquidification) process to a matter. The non-homogeneous boundary conditions (depending both on time and space variables) can be understood as a boundary control.

Keywords: Boundary value problems; Nonlinear parabolic systems; Leray-Schauder degree; Phase-field models (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-010-9742-x

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