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

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-01833719
Contributor : Isaac Ohavi <>
Submitted on : Monday, May 24, 2021 - 3:51:01 PM
Last modification on : Wednesday, May 26, 2021 - 3:35:21 AM

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  • HAL Id : hal-01833719, version 2
  • ARXIV : 1807.04032

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

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