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

A Markov Chain Model Approach to Study Academic Promotions in Ghanaian Universities

Promotions of academic staff in universities and analogous institutions remain crucial to the attainment of economic, environmental and societal objectives nationally and globally. Notwithstanding the benefits to institu...

Levels, Differentials and Key Determinants of Under-five Mortality in Ghana

Aims: The disparity in under-five mortality between rural and urban areas in Ghana and other sub-Saharan African countries is a critical national concern. The main purpose of this study is to identify and analyze the lev...

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...

Convergence and Stability of Split-Step Milstein Schemes for Stochastic Di erential Equations

In this paper, the mean square convergence and stability of the split-step theta-Milstein schemes for stochastic differential equations are discussed. First, it is shown that these methods are mean square convergent with...

Steady Oscillatory Flow in a Bifurcating Green Plant

Steady oscillatory flow in a bifurcating green plant is investigated. The channel is assumed axisymmetrical and porous; the fluid is Newtonian, incompressible, electrically conducting and chemically reactive but of the o...

Download PDF file
  • EP ID EP338463
  • DOI 10.9734/ARJOM/2017/33909
  • Views 71
  • 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