The wave front set of the solution of a simple initial-boundary value problem with glancing rays

DOI10.1017/S0305004100052166zbMath0319.35053OpenAlexW4233146515MaRDI QIDQ4081718

F. G. Friedlander

Publication date: 1976

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100052166

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Initial-boundary value problems for second-order hyperbolic equations (35L20)

Related Items (14)

Singularities of the wave trace for the Friedlander model ⋮ A geometrical optics-based numerical method for high frequency electromagnetic fields computations near fold caustics. I ⋮ A generalized representation formula for systems of tensor wave equations ⋮ Fractal Weyl law for open quantum chaotic maps ⋮ Initial boundary value problem for second order hyperbolic equations with general boundary conditions. I ⋮ Wa vefront sets of extensions of solutions to diffractive boundary problems. ⋮ A parametrix for mixed problems for strictly hyberbolic equations of arbitrary order ⋮ On the Critical Semilinear Wave Equation Outside Convex Obstacles ⋮ The propagation of singularities along gliding rays ⋮ Airy operators ⋮ Parametrix and propagation of singularities for the interior mixed hyperbolic problem ⋮ Propagation, reflection, and diffraction of singularities of solutions to wave equations ⋮ PROPAGATION OF OSCILLATIONS NEAR A DIFFRACTIVE POINT FOR A DISSIPATIVE AND SEMILINEAR KLEIN-GORDON EQUATION ⋮ \(L^ p\) regularity for the wave equation with strictly convex obstacles

Cites Work

• Domains of dependence for mixed problems for wave equations
• Fourier integral operators. I
• Fourier integral operators. II

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