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Quasi linear parabolic PDE in a junction with non linear Neumann vertex condition

Wahbi, Isaac (2021), Quasi linear parabolic PDE in a junction with non linear Neumann vertex condition, Journal of Mathematical Analysis and Applications, 500, 1, p. 40. 10.1016/j.jmaa.2021.125154

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Type
Article accepté pour publication ou publié
Date
2021
Journal name
Journal of Mathematical Analysis and Applications
Volume
500
Number
1
Publisher
Elsevier
Pages
40
Publication identifier
Metadata
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Author(s)
Wahbi, Isaac
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
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 / Keywords
PDE; non linear neumann; quasi linear parabolic; differential equations