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math.AP2013★ 22 cited
On diffusion phenomena for the linear wave equation with space-dependent damping
Yuta Wakasugi
In this paper, we prove the diffusion phenomenon for the linear wave equation with space-dependent damping. We prove that the asymptotic profile of the solution is given by a solut…
math.AP2013★ 4 cited
Blow-up of solutions to the one-dimensional semilinear wave equation with damping depending on time and space variables
Yuta Wakasugi
In this paper, we give a small data blow-up result for the one-dimensional semilinear wave equation with damping depending on time and space variables. We show that if the damping…