An analogue of Rionero's functional for reaction diffusion equations and an application thereof

Authors

  • James N. Flavin
  • Salvatore Rionero

DOI:

https://doi.org/10.1285/i15900932v27n2p95

Keywords:

Reaction-diffusion, Lotka-Volterra system, Stability, Pointwise estimates, Lyapunov functional

Abstract

En
In the context of stability properties of a reaction-diffusion system of p.d.e.s, the paper discusses an analogue of Rionero’s Lyapunov functional, which has analogous properties. By way of application,it is shown how to derive $L2$ stability estimates for the gradient of the solution of a Lotka-Volterra system.

Downloads

Published

01-03-2007

Issue

Volume 27, Issue 2 (2007)

Section

Articoli

License

Authors who publish with this publication accept all the terms and conditions of the Creative Commons license at the link below.

Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode