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On the Cauchy problem for the Faraday tensor on globally hyperbolic manifolds with timelike boundary - MaRDI portal

On the Cauchy problem for the Faraday tensor on globally hyperbolic manifolds with timelike boundary (Q6203818)

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scientific article; zbMATH DE number 7828296
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On the Cauchy problem for the Faraday tensor on globally hyperbolic manifolds with timelike boundary
scientific article; zbMATH DE number 7828296

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    On the Cauchy problem for the Faraday tensor on globally hyperbolic manifolds with timelike boundary (English)
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    8 April 2024
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    Summary: 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.
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    overdetermined initial-boundary value problem
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    Maxwell's equations
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    Faraday tensor
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    Cauchy problem
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    globally hyperbolic manifolds with timelike boundary
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