期刊
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
卷 39, 期 5, 页码 1693-1709出版社
SIAM PUBLICATIONS
DOI: 10.1137/060676854
关键词
nonlocal dispersal; monostable; existence and uniqueness; convolution operator
Let J is an element of C(R), J >= 0, integral(R) J = 1 and consider the nonlocal diffusion operator M[u] = J * u- u. We study the equation Mu + f( x, u) = 0, u >= 0, in R, where f is a KPP-type nonlinearity, periodic in x. We show that the principal eigenvalue of the linearization around zero is well defined and that a nontrivial solution of the nonlinear problem exists if and only if this eigenvalue is negative. We prove that if, additionally, J is symmetric, then the nontrivial solution is unique.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据