Persistent regional null controllability of some degenerate wave equations
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4431
Abstract: This paper is addressed to a study of the persistent regional null controllability problems for one-dimensional linear degenerate wave equations through a distributed controller. Different from non-degenerate wave equations, the classical null controllability results do… read more here.
Keywords: regional null; degenerate; null controllability; degenerate wave ... See more keywords
Exact controllability for some degenerate wave equations
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6464
Abstract: In this paper, we study one‐dimensional linear degenerate wave equations with a distributed controller. We establish observability inequalities for degenerate wave equation by multiplier method. We also deduce the exact controllability for degenerate wave equation… read more here.
Keywords: degenerate; controllability degenerate; wave equations; exact controllability ... See more keywords
Pullback attractors for a critical degenerate wave equation with time-dependent damping
Sign Up to like & getrecommendations! Published in 2022 at "Nonlinear Analysis: Real World Applications"
DOI: 10.1016/j.nonrwa.2021.103421
Abstract: The aim of this paper is to analyze the long-time dynamical behavior of the solution for a degenerate wave equation with time-dependent damping term $\partial_{tt}u + \beta(t)\partial_tu = \mathcal{L}u(x,t) + f(u)$ on a bounded domain… read more here.
Keywords: equation time; degenerate; time; time dependent ... See more keywords