Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4612319 | Journal of Differential Equations | 2007 | 27 Pages |
Abstract
This article in devoted to the study of the nonlocal dispersal equationut(x,t)=∫RJ(x−yg(y))u(y,t)g(y)dy−u(x,t)in R×[0,∞), and its stationary counterpart. We prove global existence for the initial value problem, and under suitable hypothesis on g and J , we prove that positive bounded stationary solutions exist. We also analyze the asymptotic behavior of the finite mass solutions as t→∞t→∞, showing that they converge locally to zero.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
C. Cortázar, J. Coville, M. Elgueta, S. Martínez,