QUASI LINEAR PARABOLIC PDE POSED ON A NETWORK WITH NON LINEAR NEUMANN BOUNDARY CONDITION AT VERTICES

Isaac Ohavi (1, 2)

1 GSU - Galatasaray Universitesi
2 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

The purpose of this article is to study quasi linear parabolic partial differential equations of second order, posed on a bounded network, satisfying a nonlinear and non dynamical Neumann boundary condition at the vertices. We prove the existence and the uniqueness of a classical solution.

Domaines: Equations aux dérivées partielles [math.AP]

Isaac Ohavi. QUASI LINEAR PARABOLIC PDE POSED ON A NETWORK WITH NON LINEAR NEUMANN BOUNDARY CONDITION AT VERTICES. Journal of Mathematical Analysis and Applications, 2021. ⟨hal-01833719⟩