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TitleA two obstacles coupled problem
Author(s)Azevedo, Assis
Santos, Lisa
KeywordsCoupled problem
Variational inequality
Two obstacles
Issue dateJun-2015
JournalNonlinear Analysis: Theory, Methods & Applications
Abstract(s)We consider a system of an evolutionary variational inequality of two obstacles type, depending on the temperature, coupled with the heat equation. We prove existence of solution of this system and we present examples that motivated this work. In particular, with additional assumptions on the data, we prove that solutions of this problem are also solutions of a similar problem where the convex set is of gradient constraint type (that depends on the temperature), improving a previous result.
Publisher version
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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