Sharp Decay Rate for the Damped Wave Equation With Convex-Shaped Damping

DOI10.1093/imrn/rnac022OpenAlexW4210936167MaRDI QIDQ5886660

Chenmin Sun

Publication date: 6 April 2023

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.11782

zbMATH Keywords

periodic boundary conditionsaveraging methodpolynomial stabilizationdamped wave equations on flat two-dimensional torus

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Asymptotic behavior of solutions to PDEs (35B40) Pseudodifferential operators as generalizations of partial differential operators (35S05) Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Observability (93B07) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Singularity in context of PDEs (35A21)

Related Items (3)

Sharp exponential decay rates for anisotropically damped waves ⋮ Sharp resolvent estimate for the damped-wave Baouendi-Grushin operator and applications ⋮ Nonuniform stability of damped contraction semigroups

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