Continuous dependence of solutions to mixed boundary value problems for a parabolic equation

We prove the continuous dependence, upon the data, of solutions to second-order parabolic equations. We study two boundary-value problems: One has a nonlocal (integral) condition and the another has a local boundary condition. The proofs are based on a priori estimate for the difference of solu...

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Bibliographic Details
Main Authors: Nikolay Iossifovich Yurchuk, Kokou Tcharie, Moussa Zakari Djibibe
Format: Article
Language:English
Published: Texas State University 2008-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2008/17/abstr.html