Energy decay for a localized degenerate hyperbolic equation in an exterior domain

DOI10.1016/j.na.2009.01.050zbMath1238.35056OpenAlexW1983527820MaRDI QIDQ419857

Yong Han Kang, Il Hyo Jung, Mi Jin Lee

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.050

zbMATH Keywords

wave equationexterior problemlocal energy decaylocal dissipation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) First-order nonlinear hyperbolic equations (35L60)

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Decay of solutions of the wave equation in the exterior of two convex obstacles
• Exponential decay for the semilinear wave equation with localized damping in unbounded domains
• Local energy decay for a class of nonstar-shaped bodies
• Stabilization of local energy in an exterior domain for the wave equation with a localized dissipation
• Energy decay for the wave equation in exterior domains with some half-linear dissipation.
• Decay of solutions of the wave equation with a local degenerate dissipation
• Decay of solutions of the wave equation outside nontrapping obstacles
• Exponential decay of solutions of the wave equation
• Solutions of the wave equation with localized energy
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Energy decay for a localized degenerate hyperbolic equation in an exterior domain