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

Nicoló Drago; Nicolas Ginoux; Simone Murro

doi:10.4171/RLM/1029

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

Analysis of PDEs 2024-09-09 v2 Mathematical Physics Differential Geometry math.MP

Authors: Nicoló Drago , Nicolas Ginoux , Simone Murro

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Abstract

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 $\mathrm{d}+\delta$ and a suitable pre-symplectic structure on the space of solutions are discussed.

Keywords

cauchy problem faraday tensor globally hyperbolic manifolds timelike boundary green operators pre-symplectic structure

Cite

@article{arxiv.2306.06896,
  title  = {On the Cauchy problem for the Fadaray tensor on globally hyperbolic manifolds with timelike boundary},
  author = {Nicoló Drago and Nicolas Ginoux and Simone Murro},
  journal= {arXiv preprint arXiv:2306.06896},
  year   = {2024}
}

Comments

19 pages -- accepted in Rendiconti Lincei Matematica e Applicazioni

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

Abstract

Keywords

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