A rate of approach to the steady state of solutions of second-order hyperbolic equations

DOI10.1016/0022-0396(75)90007-8zbMath0338.35060OpenAlexW2087158636MaRDI QIDQ1231095

Clifford O. Bloom

Publication date: 1975

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(75)90007-8

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) A priori estimates in context of PDEs (35B45) Solutions to PDEs in closed form (35C05)

Related Items (3)

The limiting-amplitude principle for the wave propagation problem with two unbounded media ⋮ Limiting amplitude princiiple for acoustic propagators in perturbed stratified fluids ⋮ A priori bounds for solutions of the Dirichlet problem for [Delta + lambda sup(2) n(x)u = f(x,lambda) on an exterior domain]

Cites Work

• The decay of solutions of the initial-boundary value problem for hyperbolic equations
• A Generalization of Theorems of Rellich and Atkinson
• The principle of limiting absorption
• The limiting amplitude principle
• A convergent ‘farfield’ expansion for two‐dimensional radiation functions
• Energy decays locally even if total energy grows algebraically with time
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