English

Quasi linear parabolic pde posed on a network with non linear Neumann boundary condition at vertices

Analysis of PDEs 2025-01-31 v2

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.

Keywords

Cite

@article{arxiv.1807.04032,
  title  = {Quasi linear parabolic pde posed on a network with non linear Neumann boundary condition at vertices},
  author = {Isaac Ohavi},
  journal= {arXiv preprint arXiv:1807.04032},
  year   = {2025}
}