Decay for Solutions to Semilinear Regularity-Loss Type Equations with Memory
Asian Research Journal of Mathematics · pp. 1–14 · Published 9 Jun 2017
10.9734/ARJOM/2017/33909Abstract
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].
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