A Parametrix Construction for the Wave Equation with Low Regularity Coefficients Using a Frame of Gaussians

Autor:	Waters, Alden
Rok vydání:	2010
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	We construct a frame of complex Gaussians for the space of $L^2(\mathbb{R}^n)$ functions. When propagated along bicharacteristics for the wave equation, the frame can be used to build a parametrix with suitable error terms. When the coefficients of the wave equation have more regularity, propagated frame functions become Gaussian beams.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1003.2747 Zobrazit plný text záznamu View this record from Arxiv