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 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 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
|