Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 69, Issue 5-6, Pages 1515-1524Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2007.07.008
Keywords
Galerkin method; nonlocal condition; a priori estimates; nonclassical function space
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The present paper is devoted to the investigation of a model parabolic mixed problem with boundary integral conditions arising in the context of thermoelasticity. Existence, uniqueness and continuous dependence upon data of a weak solution of the latter are proved by means of the Galerkin method. (C) 2007 Elsevier Ltd. All rights reserved.
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