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Lq-Helmholtz decomposition and Lq-spectral theory for the Maxwell operator on periodic domains

Babutzka, Jens

Abstract:
We investigate the Helmholtz decomposition on periodic domains and prove the existence of the Lq-Helmholtz decomposition on periodic domains for a suitable range of q depending on the regularity of the boundary. As applications, we prove a spectral multiplier theorem for a Maxwell-type operator and study the incompressible Navier-Stokes equations on periodic domains in the Lq-setting.

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Volltext §
DOI: 10.5445/IR/1000052761
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Zugehörige Institution(en) am KIT Institut für Analysis (IANA)
Publikationstyp Hochschulschrift
Jahr 2016
Sprache Englisch
Identifikator urn:nbn:de:swb:90-527615
KITopen-ID: 1000052761
Verlag KIT, Karlsruhe
Abschlussart Dissertation
Fakultät Fakultät für Mathematik (MATH)
Institut Institut für Analysis (IANA)
Prüfungsdaten 27.01.2016
Referent/Betreuer PD Dr. P. C. Kunstmann
Schlagworte Helmholtz decomposition, periodic domain, Maxwell operator, Navier-Stokes equations
KIT – Die Forschungsuniversität in der Helmholtz-Gemeinschaft
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