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

Keywords

Related Articles

On Generalization of a Reverse Hilbert's Type Inequality

We establish an inequality of a weight coecient by introducing a parameter  and using the Euler-Maclaurin expansion. Using this inequality, we derive a reverse of the Hilbert's type inequality. As an applications, an e...

Influence of Rotatory Inertial Correction Factor on the Vibration of Elastically Supported Non-Uniform Rayleigh Beam on Variable Foundation

The in uence of rotatory inertial correction factor on the vibration of elastically supported nonuniform Rayleigh beam under moving distributed masses and resting on variable bi-parametric elastic foundation is investiga...

Radiation Effect with Eckert Number and Forchimer Number on Heat and Mass Transfer over an Inclined Plate in the Influence of Suction/Injection Flow

In the present context, the effect of Eckert number and Forchimer number on a two dimensional steady free convective heat and mass transfer flow of an electrically conducting fluid through a porous medium with radiation...

A Genetic Algorithm with Semi-Greedy Heuristic Construction Phase for Multiple Fuzzy k-cardinality Assignment Problem with HOWA Approach

The assignment problem is one of the well-known combinatorial optimization problems. It consists of nding a maximum or a minimum weight matching in a weighted bigraph. k-cardinality assignment problem is a special case...

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...

Download PDF file
  • EP ID EP338463
  • DOI 10.9734/ARJOM/2017/33909
  • Views 81
  • Downloads 0

How To Cite

Shikuan Mao, Lin Wang (2017). Decay for Solutions to Semilinear Regularity-Loss Type Equations with Memory. Asian Research Journal of Mathematics, 4(4), 1-14. https://europub.co.uk/articles/-A-338463