Electron. J. Diff. Eqns., Vol. 2008(2008), No. 17, pp. 1-10.

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

Moussa Zakari Djibibe, Kokou Tcharie, Nikolay Iossifovich Yurchuk

Abstract:
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 solutions.

Submitted October 16, 2007. Published February 5, 2008.
Math Subject Classifications: 35K20, 35K25, 35K30.
Key Words: Priori estimate; mixed problem; continuous dependence; boundary conditions

Show me the PDF file (208 KB), TEX file, and other files for this article.

Moussa Zakari Djibibe
University of Lomé - Togo
Department of Mathematics
PO Box 1515 Lomé, Togo
email: mdjibibe@tg.refer.org   zakari.djibibe@gmail.com
tel +228 924 45 21
Kokou Tcharie
University of Lomé - Togo
Department of Mathematics
PO Box 1515 Lomé, Togo
email: tkokou@yahoo.fr
  Nikolay Iossifovich Yurchuk
Dept. of Mechanics and Mathematics
Belarussian State University
220050, Minsk, Belarus
email: yurchuk@bsu.by

Return to the EJDE web page