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http://dx.doi.org/10.4134/CKMS.c160142

GLOBAL ATTRACTOR FOR A SEMILINEAR PSEUDOPARABOLIC EQUATION WITH INFINITE DELAY  

Thanh, Dang Thi Phuong (Department of Mathematics Hung Vuong University)
Publication Information
Communications of the Korean Mathematical Society / v.32, no.3, 2017 , pp. 579-600 More about this Journal
Abstract
In this paper we consider a semilinear pseudoparabolic equation with polynomial nonlinearity and infinite delay. We first prove the existence and uniqueness of weak solutions by using the Galerkin method. Then, we prove the existence of a compact global attractor for the continuous semigroup associated to the equation. The existence and exponential stability of weak stationary solutions are also investigated.
Keywords
pseudoparabolic equation; global attractor; stability; weak solution; stationary solution; compactness method; energy method;
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