Exponential decay for semilinear wave equation with localized damping in the hyperbolic space

Paulo Cesar Carrião, Olímpio Hiroshi Miyagaki and André Vicente

Mathematische Nachrichten, 2023, vol. 296, issue 1, 130-151

Abstract: In this paper, we study the exponential decay of the energy associated to an initial value problem involving the wave equation on the hyperbolic space BN$\mathbb {B}^N$. The space BN$\mathbb {B}^N$ is the unit disc {x∈RN:|x|

Date: 2023
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