Local energy decay for a class of nonstar-shaped bodies

DOI10.1007/BF00282434zbMath0291.35053MaRDI QIDQ1211184

Nicholas D. Kazarinoff, Clifford O. Bloom

Publication date: 1974

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Wave equation (35L05) A priori estimates in context of PDEs (35B45)

Related Items

Local energy decay for hyperbolic systems in exterior domains, About the wave equation outside two strictly convex obstacles, Local energy decay for the wave equation on the exterior of two balls or convex bodies, Energy decay for hyperbolic systems of second-order equations, Asymptotics of wave models for non star-shaped geometries, Energy decay for a localized degenerate hyperbolic equation in an exterior domain, Local energy decay for scattering of elastic waves, The Helmholtz equation in heterogeneous media: a priori bounds, well-posedness, and resonances, Decay of solutions of the wave equation outside nontrapping obstacles, A priori bounds for solutions of the Dirichlet problem for [Delta + lambda sup(2) n(x)u = f(x,lambda) on an exterior domain], On 2D nonlinear Schrödinger equation on non-trapping exterior domains, Stabilization of local energy in an exterior domain for the wave equation with a localized dissipation, ASYMPTOTICS OF THE CRITICAL NONLINEAR WAVE EQUATION FOR A CLASS OF NON-STAR-SHAPED OBSTACLES

Cites Work

• The decay of solutions of the initial-boundary value problem for hyperbolic equations
• The decay of solutions of the initial-boundary value problem for the wave equation in unbounded regions
• The decay of solutions of the exterior initial-boundary value problem for the wave equation
• The geometry of immersions. II
• Elementary Differential Topology. (AM-54)
• Exponential decay of solutions of the wave equation
• Solutions of the wave equation with localized energy
• Energy decays locally even if total energy grows algebraically with time