Global Strichartz estimates for an inhomogeneous Maxwell system

Autor:	Piero D'Ancona, Roland Schnaubelt
Rok vydání:	2021
Předmět:	Permittivity Applied Mathematics Isotropy Scalar (mathematics) Mathematical analysis symbols.namesake Helmholtz problem Maxwell's equations symbols Divergence (statistics) Analysis Smoothing Resolvent Mathematics
Zdroj:	Communications in Partial Differential Equations. 47:630-675
ISSN:	1532-4133 0360-5302
DOI:	10.1080/03605302.2021.1998910
Popis:	We show a global in time Strichartz estimate for the isotropic Maxwell system with divergence free data. On the scalar permittivity and permeability we impose decay assumptions as $|x|\rightarrow\infty$ and a non-trapping condition. The proof is based on smoothing estmates in weighted $L^2$ spaces which follow from corresponding resolvent estimates for the underlying Helmholtz problem.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6c6508f78d5a25784b94e93583594eb3 https://doi.org/10.1080/03605302.2021.1998910 Zobrazit plný text záznamu