On the Cauchy problem for the Fadaray tensor on globally hyperbolic manifolds with timelike boundary

Fuente: arXiv
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Main Authors: Drago, Nicoló, Ginoux, Nicolas, Murro, Simone
Format: Preprint
Published: 2023
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author Drago, Nicoló
Ginoux, Nicolas
Murro, Simone
author_facet Drago, Nicoló
Ginoux, Nicolas
Murro, Simone
contents We study the well-posedness of the Cauchy problem for the Faraday tensor on globally hyperbolic manifolds with timelike boundary. The existence of Green operators for the operator $\mathrm{d}+δ$ and a suitable pre-symplectic structure on the space of solutions are discussed.
format Preprint
id arxiv_https___arxiv_org_abs_2306_06896
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle On the Cauchy problem for the Fadaray tensor on globally hyperbolic manifolds with timelike boundary
Drago, Nicoló
Ginoux, Nicolas
Murro, Simone
Analysis of PDEs
Mathematical Physics
Differential Geometry
Primary 35Q61, 35N30, Secondary 58J45, 53C50
We study the well-posedness of the Cauchy problem for the Faraday tensor on globally hyperbolic manifolds with timelike boundary. The existence of Green operators for the operator $\mathrm{d}+δ$ and a suitable pre-symplectic structure on the space of solutions are discussed.
title On the Cauchy problem for the Fadaray tensor on globally hyperbolic manifolds with timelike boundary
topic Analysis of PDEs
Mathematical Physics
Differential Geometry
Primary 35Q61, 35N30, Secondary 58J45, 53C50
url https://arxiv.org/abs/2306.06896