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

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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 languageEnglish
Pages (from-to)233-254
Number of pages22
JournalAnnali di Matematica Pura ed Applicata
Volume131
Issue number1
DOIs
Publication statusPublished - Dec 1 1982

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Quasilinear Hyperbolic System
Regular Solution
Maxwell equations
Maxwell's equations
Bounded Domain
Monotone
Existence and Uniqueness

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

Cite this

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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.",
author = "Albert Milani",
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