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

FORMULATION AND ANALYSIS OF A PARABOLIC TRANSMISSION PROBLEM ON DISJOINT INTERVALSBosko S. Jovanovic, Lubin G. VulkovUniversity of Belgrade, Faculty of Mathematics, Belgrade, Serbia; University of Rousse, Department of Mathematics, Rousse, BulgariaAbstract: We investigate an initialboundaryvalue problem for one dimensional parabolic equations in disjoint intervals. Under some natural assumptions on the input data we proved the wellposedness 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 Full text of the article: (for faster download, first choose a mirror)
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
