Uniform Lipschitz Bound for a Competition Diffusion Advection System with Strong Competition

Huang, Tingwei and Zhang, Shan (2021) Uniform Lipschitz Bound for a Competition Diffusion Advection System with Strong Competition. Applied Mathematics, 12 (05). pp. 383-398. ISSN 2152-7385

[thumbnail of am_2021051813441461.pdf] Text
am_2021051813441461.pdf - Published Version

Download (380kB)

Abstract

We prove the uniform Lipschitz bound of solutions for a nonlinear elliptic system modeling the steady state of populations that compete in a heterogeneous environment. This extends known quasi-optimal regularity results and covers the optimal case for this problem. The proof relies upon the blow-up technique and the almost monotonicity formula by Caffarelli, Jerison and Kenig.

Item Type: Article
Subjects: European Repository > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 01 Dec 2022 05:05
Last Modified: 25 May 2024 07:43
URI: http://go7publish.com/id/eprint/597

Actions (login required)

View Item
View Item