Decoupling of Modes for the Elastic Wave Equation in Media of Limited Smoothness

Autor:	Hart F. Smith, Maarten V. de Hoop, Valeriy Brytik, Gunther Uhlmann
Rok vydání:	2011
Předmět:	Smoothness (probability theory) Applied Mathematics Modulo Operator (physics) Mathematical analysis Structure (category theory) Order (group theory) Decoupling (cosmology) Wave equation Lamé parameters Analysis Mathematics
Zdroj:	Communications in Partial Differential Equations. 36:1683-1693
ISSN:	1532-4133 0360-5302
Popis:	We establish a decoupling result for the P and S waves of linear, isotropic elasticity, in the setting of twice-differentiable Lame parameters. Precisely, we show that the P↔S components of the wave propagation operator are regularizing of order one on L 2 data, by establishing the diagonalization of the elastic system modulo a L 2-bounded operator. Effecting the diagonalization in the setting of twice-differentiable coefficients depends upon the symbol of the conjugation operator having a particular structure.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::73506a167fcc98a47277a74850d4d099 https://doi.org/10.1080/03605302.2011.558554 Zobrazit plný text záznamu