Decay of solutions of the wave equation and spectral properties of the Laplace operator in expanding domains

DOI10.1007/BF02316158zbMath0915.35062MaRDI QIDQ1272269

Aleksej V. Filinovskij

Publication date: 9 March 1999

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

zbMATH Keywords

scattering of energy to infinity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) General topics in linear spectral theory for PDEs (35P05) Wave equation (35L05)

Cites Work

• Unnamed Item
• Solvability in the small of nonstationary problems for incompressible ideal and viscous fluids and the case of vanishing viscosity
• The decay of solutions of the initial-boundary value problem for the wave equation in unbounded regions
• The asymptotic behavior of the solutions of \((\Delta + \lambda )u=0\) in a domain with the unbounded boundary

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