Abstract
Boundaries occur naturally in physucal systems which satisfy the Vlasov-Maxwell system. Assume perfect conductor boundary conditions for Maxwell, and either specular reflection or partial absorption for Vlasov. Then weak solutions with finite energy exist for all time.
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Communicated by S.-T. Yau
This research is supported in part by NSF Grant DMS 90-23864
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Guo, Y. Global weak solutions of the Vlasov-Maxwell system with boundary conditions. Commun.Math. Phys. 154, 245–263 (1993). https://doi.org/10.1007/BF02096997
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DOI: https://doi.org/10.1007/BF02096997