Asymptotic Stability for the Second Order Evolution Equation with Memory
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-018-9410-2
Abstract: In this paper, we consider an abstract viscoelastic equation. We use memory-type damping with a general assumption on the relaxation function and establish explicit energy decay result from which we can recover the optimal exponential… read more here.
Keywords: order evolution; second order; asymptotic stability; stability second ... See more keywords
Higher-order evolution inequalities involving convection and hardy-leray potential terms in a bounded domain
Sign Up to like & getrecommendations! Published in 2023 at "Proceedings of the Edinburgh Mathematical Society"
DOI: 10.1017/s0013091523000172
Abstract: We consider a class of nonlinear higher-order evolution inequalities posed in $(0,\infty)\times B_1\backslash\{0\}$ , subject to inhomogeneous Dirichlet-type boundary conditions, where B1 is the unit ball in $\mathbb{R}^N$ . The considered class involves differential operators… read more here.
Keywords: order evolution; higher order; evolution inequalities; inequalities involving ... See more keywords