Local in time existence for the complete Maxwell equations with monotone characteristic in a bounded domain

Albert Milani

doi:10.1007/BF01765154

Local in time existence for the complete Maxwell equations with monotone characteristic in a bounded domain

Albert Milani

Mathematics & Statistical Sciences

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

The complete system of the quasi- linear Maxwell equations with monotone characteristic in a bounded domain is studied. Following Kato's theory in [14] for quasilinear hyperbolic systems, existence and uniqueness of a local regular solution is established.

Original language	English
Pages (from-to)	233-254
Number of pages	22
Journal	Annali di Matematica Pura ed Applicata
Volume	131
Issue number	1
DOIs	https://doi.org/10.1007/BF01765154
Publication status	Published - Dec 1982

All Science Journal Classification (ASJC) codes

Applied Mathematics

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10.1007/BF01765154

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title = "Local in time existence for the complete Maxwell equations with monotone characteristic in a bounded domain",

abstract = "The complete system of the quasi- linear Maxwell equations with monotone characteristic in a bounded domain is studied. Following Kato's theory in [14] for quasilinear hyperbolic systems, existence and uniqueness of a local regular solution is established.",

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Local in time existence for the complete Maxwell equations with monotone characteristic in a bounded domain

Abstract

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