EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 91(105), pp. 111–123 (2012)

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FORMULATION AND ANALYSIS OF A PARABOLIC TRANSMISSION PROBLEM ON DISJOINT INTERVALS

Bosko S. Jovanovic, Lubin G. Vulkov

University of Belgrade, Faculty of Mathematics, Belgrade, Serbia; University of Rousse, Department of Mathematics, Rousse, Bulgaria

Abstract: We investigate an initial-boundary-value problem for one dimensional parabolic equations in disjoint intervals. Under some natural assumptions on the input data we proved the well-posedness of the problem. Nonnegativity and energy stability of its weak solutions are also studied.

Keywords: transmission problem, disjoint intervals, weak solution, nonnegativity preservation

Classification (MSC2000): 35K20; 35K99; 35D05

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Electronic fulltext finalized on: 10 May 2012. This page was last modified: 12 Jun 2012.

© 2012 Mathematical Institute of the Serbian Academy of Science and Arts
© 2012 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition