On Some Model Problem for the Propagation of Interacting Species in a Special Environment
Analysis of PDEs
2022-05-13 v1
Abstract
The purpose of this note is to study the existence of a nontrivial solution for an elliptic system which comes from a newly introduced mathematical problem so called Field-Road model. Specifically, it consists of coupled equations set in domains of different dimensions together with some interaction of non classical type. We consider a truncated problem by imposing Dirichlet boundary conditions and an unbounded setting as well.
Keywords
Cite
@article{arxiv.2205.05929,
title = {On Some Model Problem for the Propagation of Interacting Species in a Special Environment},
author = {Michel Chipot and Mingmin Zhang},
journal= {arXiv preprint arXiv:2205.05929},
year = {2022}
}