Decay for Solutions to Semilinear Regularity-Loss Type Equations with Memory
Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 4, Issue 4
Abstract
In this paper we consider the initial value problem of an inertial model for a generalized semilinear plate equation with memory in Rn (n ≥ 1). We study the decay and the regularity-loss property for this type of equations in the spirit of [1, 2]. The novelty of this paper is that we extend the order of derivatives from integer to fraction and refine the results in the related literature [1, 3].
Authors and Affiliations
Shikuan Mao, Lin Wang
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Decay for Solutions to Semilinear Regularity-Loss Type Equations with Memory
In this paper we consider the initial value problem of an inertial model for a generalized semilinear plate equation with memory in Rn (n ≥ 1). We study the decay and the regularity-loss property for this type of equatio...