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.
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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 |
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Ameur Memou Departement de Mathematiques Université de M'sila, Algerie email: memoua_2007@yahoo.fr |
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