Estimates of the rate of decay of solutions to the impedance mixed problem for the wave equation in a region with noncompact boundary

DOI10.1007/BF02676440zbMath0969.35088OpenAlexW2080201387MaRDI QIDQ1569293

Leonid A. Muravei, Aleksej V. Filinovskij

Publication date: 1 April 2001

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02676440

zbMATH Keywords

Laplace-Beltrami operatormixed boundary conditionsZaremba problemnoncompact boundaryLeontovich-Fock condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05)

Cites Work

• Energie decay estimates and exact boundary value controllability for the wave equation in a bounded domain
• The decay of solutions of the initial-boundary value problem for the wave equation in unbounded regions
• A connection between 𝛼-capacity and 𝑚-𝑝 polarity
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