Published Paper

Inserted: 2 mar 2017
Last Updated: 2 mar 2017

Journal: Appl. Math.
Volume: 6
Number: 6
Pages: 24
Year: 2016

Abstract:

We consider a phase-field system of Caginalp type perturbed by the presence of an additional maximal monotone nonlinearity. Such a system arises from a recent study of a sliding mode control problem. We prove existence of strong solutions. Moreover, under further assumptions, we show the continuous dependence on the initial data and the uniqueness of the solution.

Keywords: Analysis of PDEs; Optimization and Control

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• Colturato@-@Solvability@of@a@class@of@phase@field@systems@related@to@a@sliding@mode@control@problem.pdf