A result of uniqueness of solutions of the Shigesada–Kawasaki–Teramoto equations

Advances in Nonlinear Analysis

article

Du Pham¹  Roger Temam² 

[1] Department of Mathematics, University of Texas at San Antonio;The Institute for Scientific Computing and Applied Mathematics, Indiana University

关键词: Well-posedness;    quasi-linear parabolic equations;    global existence;   

DOI  :  10.1515/anona-2017-0078

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

We derive the uniqueness of weak solutions to the Shigesada–Kawasaki–Teramoto (SKT) systems using the adjoint problem argument. Combining with [10], we then derive the well-posedness for the SKT systems in space dimension d ≤ 4 {d\leq 4} .

【 授权许可】

CC BY