Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Stabilization of solutions of the Cauchy problem for the reaction-nonlinear diffusion equation to a dominant equilibrium

Stabilization of solutions of the Cauchy problem for the reaction-nonlinear diffusion equation to... We consider the Cauchy problem for the reaction-nonlinear diffusion equation in a space of arbitrary dimension. On the basis of the original data of the equation, we compute the potential function, whose maximum corresponds to a dominant equilibrium distribution. For the solutions of the problem with initial distributions in a rather broad class, we prove the convergence to the dominant distribution on bounded subsets. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Stabilization of solutions of the Cauchy problem for the reaction-nonlinear diffusion equation to a dominant equilibrium

Differential Equations , Volume 49 (3) – May 23, 2013

Loading next page...
 
/lp/springer-journals/stabilization-of-solutions-of-the-cauchy-problem-for-the-reaction-CM7gYanXLl

References (9)

Publisher
Springer Journals
Copyright
Copyright © 2013 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266113030075
Publisher site
See Article on Publisher Site

Abstract

We consider the Cauchy problem for the reaction-nonlinear diffusion equation in a space of arbitrary dimension. On the basis of the original data of the equation, we compute the potential function, whose maximum corresponds to a dominant equilibrium distribution. For the solutions of the problem with initial distributions in a rather broad class, we prove the convergence to the dominant distribution on bounded subsets.

Journal

Differential EquationsSpringer Journals

Published: May 23, 2013

There are no references for this article.