English

Global Existence and Uniform Estimates of Solution to Reaction Diffusion Systems with Mass Transport Type Boundary Conditions

Analysis of PDEs 2020-05-05 v1

Abstract

We consider reaction diffusion systems where components diffuse inside the domain and react on the surface through mass transport type boundary conditions. Under reasonable hypotheses, we establish the existence of component wise non-negative global solutions which are uniformly bounded in the sup norm.

Keywords

Cite

@article{arxiv.2005.01046,
  title  = {Global Existence and Uniform Estimates of Solution to Reaction Diffusion Systems with Mass Transport Type Boundary Conditions},
  author = {Vandana Sharma},
  journal= {arXiv preprint arXiv:2005.01046},
  year   = {2020}
}