Global L∞ estimates for a class of reaction-diffusion systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:217

Article

Dung, L

关键词: Sobolev inequalities;    a priori estimates;    reaction diffusion systems;    evolution operators;   

DOI  :  10.1006/jmaa.1997.5702

来源: Elsevier

【 摘 要 】

We show that a priori L-1 estimates (dissipativity) imply L-infinity estimates (dissipativity) for a class of reaction-diffusion systems. This generalizes the results obtained in biological models such as unmixed bioreactors, plug-flow models, and Lotka-Volterra systems. (C) 1998 Academic Press.

【 授权许可】

Free