Behavior as \(t\to \infty\) of the solutions of the exterior boundary-value problem for a hyperbolic system

DOI10.1007/BF00969577zbMath0645.35059MaRDI QIDQ1103111

Boris V. Kapitonov

Publication date: 1987

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

zbMATH Keywords

Dirichlet boundary conditionsmooth boundarylocal energyexteriorinitial data with compact support

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Higher-order hyperbolic systems (35L55)

Related Items (2)

On the local-energy decay property for the elastic wave equation with the Neumann boundary condition ⋮ Elastic and electro-magnetic waves in infinite waveguides

Cites Work

• The decay of solutions of the exterior initial-boundary value problem for the wave equation
• Finite amplitude waves in a homogeneous isotropic elastic solid
• Exponential decay of solutions of the wave equation
• The limiting amplitude principle

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