Communications in Mathematical Analysis

Propagation Speed for Fractional Cooperative Systems with Slowly Decaying Initial Conditions

Miguel Yangari

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

The aim of this paper is to study the time asymptotic propagation for mild solutions to the fractional reaction diffusion cooperative systems when at least one entry of the initial condition decays slower than a power. We state that the solution spreads at least exponentially fast with an exponent depending on the diffusion term and on the smallest index of fractional Laplacians.

Article information

Source
Commun. Math. Anal., Volume 19, Number 2 (2016), 82-100.

Dates
First available in Project Euclid: 11 February 2017

Permanent link to this document
https://projecteuclid.org/euclid.cma/1486782020

Mathematical Reviews number (MathSciNet)
MR3580452

Zentralblatt MATH identifier
1338.35486

Subjects
Primary: 35R11: Fractional partial differential equations 35B40: Asymptotic behavior of solutions

Keywords
Fractional Laplacian Nonlinear Fisher-KPP Reaction-diffusion equation Cooperative systems Time asymptotic propagation Mild solutions

Citation

Yangari, Miguel. Propagation Speed for Fractional Cooperative Systems with Slowly Decaying Initial Conditions. Commun. Math. Anal. 19 (2016), no. 2, 82--100. https://projecteuclid.org/euclid.cma/1486782020


Export citation