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Modulation type spaces for generators of polynomially bounded groups and Schrödinger equations

Kunstmann, Peer Christian

Abstract:
We introduce modulation type spaces associated with the generators of polynomially bounded groups. Besides strongly continuous groups we study in detail the case of bi-continuous groups, e.g. weak-continuous groups in dual spaces. It turns out that this gives new insight in situations where generators are not densely defined. Classical modulation spaces are covered as a special case but the abstract formulation gives more exibility. We illustrate this with an application to a nonlinear Schrödinger equation. Mathematics Subject Classification (2010). 47D06, 47A60, 47D08, 35Q55.

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DOI: 10.5445/IR/1000082024
Veröffentlicht am 13.04.2018
Zugehörige Institution(en) am KIT Institut für Analysis (IANA)
Sonderforschungsbereich 1173 (SFB 1173)
Publikationstyp Forschungsbericht
Jahr 2018
Sprache Englisch
Identifikator ISSN: 2365-662X
urn:nbn:de:swb:90-820249
KITopen-ID: 1000082024
Verlag KIT, Karlsruhe
Umfang 19 S.
Serie CRC 1173 ; 2018/4
Schlagworte polynomially bounded groups, functional calculus, spaces associated with operators, modulation spaces, Schrödinger equations
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