Ahmed Lakhdar Marhoune, Ameur Memou
Abstract:
We prove the existence and uniqueness of a strong solution for a parabolic
singular equation in which we combine Dirichlet with integral boundary
conditions given only on parts of the boundary. The proof uses a priori
estimate and the density of the range of the operator generated by the
problem considered.
Submitted September 3, 2014. Published March 18, 2015.
Math Subject Classifications: 35B45, 35K67, 35K20.
Key Words: Energy inequality; integral boundary conditions;
singular parabolic equation; strong solution.
Show me the PDF file (198 KB), TEX file, and other files for this article.
Ahmed Lakhdar Marhoune Laboratoire Equations Differentielles Departement de Mathematiques, Faculte des Sciences Exactes Université des Fréres Mentouri 25000 Constantine, Algerie email: ahmed_marhoune@hotmail.com | |
Ameur Memou Departement de Mathematiques Université de M'sila, Algerie email: memoua_2007@yahoo.fr |
Return to the EJDE web page