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Well-posedness for a general class of quasilinear evolution equations - with applications to Maxwell's equations

Müller, Dominik

Abstract:
Our objective is to undertake a first step towards a systematic investigation of the well-posedness for a wide class of nonlinear Maxwell equations. Our tool of choice is an approach outlined by Tosio Kato (1975) for the analysis of quasi- linear evolution equations using operator semigroups. We will prove an abstract result, that can be applied to both, a wide class of non- linear Maxwell equations, as well as to their corresponding quasilinear wave equations.

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Volltext §
DOI: 10.5445/IR/1000042147
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Analysis (IANA)
Publikationstyp Hochschulschrift
Publikationsjahr 2014
Sprache Englisch
Identifikator urn:nbn:de:swb:90-421473
KITopen-ID: 1000042147
Verlag KIT, Karlsruhe
Abschlussart Dissertation
Fakultät Fakultät für Mathematik (MATH)
Institut Institut für Analysis (IANA)
Prüfungsdaten 23.07.2014
Referent/Betreuer Prof. R. Schnaubelt
KIT – Die Forschungsuniversität in der Helmholtz-Gemeinschaft
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