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A parametrix construction for the wave equation with low regularity coefficients using a frame of Gaussians

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Publication:390241
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DOI10.4310/CMS.2011.v9.n1.a11zbMath1295.35011arXiv1003.2747MaRDI QIDQ390241

Alden Waters

Publication date: 22 January 2014

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.2747


zbMATH Keywords

Gaussian beamsspace-time propagation


Mathematics Subject Classification ID

Wave equation (35L05) Initial value problems for second-order hyperbolic equations (35L15) Parametrices in context of PDEs (35A17)


Related Items (7)

Fast multiscale Gaussian beam methods for wave equations in bounded convex domains ⋮ Gabor frames of Gaussian beams for the Schrödinger equation ⋮ Stable Determination of X-Ray Transforms of Time Dependent Potentials from Partial Boundary Data ⋮ A Deterministic Optimal Design Problem for the Heat Equation ⋮ A Convergent Multiscale Gaussian-Beam Parametrix for the Wave Equation ⋮ A multi-scale Gaussian beam parametrix for the wave equation: the Dirichlet boundary value problem ⋮ Low regularity ray tracing for wave equations with Gaussian beams




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