Existence and continuity of global attractors and nonhomogeneous equilibria for a class of evolution equations with non local terms

[摘要] In this paper, we are concerned with some aspects of the asymptotic behavior of the dynamical system generated by evolution equations with nonlocal terms of the type partial derivative u(x, t)/partial derivative t = -u(x, t) + g (beta(Ku)(x, t)), x is an element of Omega, t > 0 where Omega subset of R-N, beta > 0, N >= 1 is a bounded smooth domain and K is an integral operator with symmetric kernel (Ku)(x) := integral(RN)J(x, y)u(y)dy. (C) 2012 Elsevier Inc. All rights reserved.

[发布日期] 2012-12-15

[关键词] Global attractors;Nonhomogeneous equilibria;Continuity;Lyapunov functional