An Elliptic Regularity Coefficient Estimate for a Problem Arising from a Frequency Domain Treatment of Waves

DOI10.2307/2154856zbMath0811.35021OpenAlexW4249151717MaRDI QIDQ4321204

Xiaobing Feng, Dongwoo Sheen

Publication date: 1 May 1995

Full work available at URL: https://doi.org/10.2307/2154856

zbMATH Keywords

elliptic regularity coefficientwave equation in the frequency domain

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (6)

Sharp High-Frequency Estimates for the Helmholtz Equation and Applications to Boundary Integral Equations ⋮ Sharp Wavenumber-Explicit Stability Bounds for 2D Helmholtz Equations ⋮ Multiscale sub-grid correction method for time-harmonic high-frequency elastodynamics with wave number explicit bounds ⋮ A frequency-domain parallel method for the numerical approximation of parabolic problems ⋮ Sharp norm estimates of layer potentials and operators at high frequency ⋮ Asymptotic analysis for time harmonic wave problems with small wave number

Cites Work

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• Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
• L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
• An elliptic regularity coefficient estimate for the equations of the motion for nearly elastic solids in the frequency domain
• Cauchy integrals on Lipschitz curves and related operators
• FREQUENCY DOMAIN TREATMENT OF ONE-DIMENSIONAL SCALAR WAVES
• APPROXIMATION OF SCALAR WAVES IN THE SPACE-FREQUENCY DOMAIN

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