Quasi linear parabolic PDE in a junction with non linear Neumann vertex condition
Wahbi, Isaac (2018), Quasi linear parabolic PDE in a junction with non linear Neumann vertex condition, Journal of Mathematical Analysis and Applications, p. 40
TypeArticle accepté pour publication ou publié
Journal nameJournal of Mathematical Analysis and Applications
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Abstract (EN)The purpose of this article is to study quasi linear parabolic partial differential equations of second order, on a bounded junction, satisfying a nonlinear and non dynamical Neumann boundary condition at the junction point. We prove the existence and the uniqueness of a classical solution.
Subjects / KeywordsPDE; non linear neumann; quasi linear parabolic; differential equations
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