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Propagation of polarization sets for systems of generalized transverse type and for systems of MHD type

dc.contributor.advisorWitt, Ingo Prof. Dr.
dc.contributor.authorDarwich, Rayhana
dc.format.extentXXX Seitende
dc.titlePropagation of polarization sets for systems of generalized transverse type and for systems of MHD typede
dc.contributor.refereeBahns, Dorothea Prof. Dr.
dc.description.abstractengPolarization sets were introduced by Dencker (1982) as a refinement of wavefront sets to the vector-valued case. He also clarified the propagation of polarization sets when the characteristic variety of the pseudodifferential system under study consists of two hypersurfaces intersecting tangentially (1992), or transversally (1995). In this thesis, we consider the case of more than two intersecting characteristic hypersurfaces that are interesting transversally (and we give a note on the tangential case). Mainly, we consider two types of systems which we name "systems of generalized transverse type" and "systems of MHD type", and we show that we can get a result for the propagation of polarization set similar to Dencker's result for systems of transverse type. Furthermore, we give an application to the MHD
dc.contributor.coRefereeJaeh, Christian Dr.
dc.subject.engPolarization setsde
dc.subject.engwavefront setsde
dc.subject.engsystems of transverse typede
dc.subject.engsystems of uniaxial typede
dc.subject.engsystems of generalized transverse typede
dc.subject.engsystems of MHD typede
dc.subject.engideal MHD equationsde
dc.subject.engpseudodifferential operatorsde
dc.subject.engsystems of real principal typede
dc.subject.engpropagation of polarization setsde
dc.subject.engmicrolocal analysisde
dc.affiliation.instituteFakultät für Mathematik und Informatikde
dc.subject.gokfullMathematics (PPN61756535X)de
dc.notes.confirmationsentConfirmation sent 2023-06-19T08:45:01de

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