Inhomogeneous symbols, the Newton polygon, and maximal Lp-regularity

Publikationstyp: Working Paper/Technical Report
URI (zitierfähiger Link): http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-50540
Autor/innen: Denk, Robert; Saal, Jürgen; Seiler, Jörg
Erscheinungsjahr: 2008
Schriftenreihe: Konstanzer Schriften in Mathematik und Informatik ; 244
Zusammenfassung:
We prove a maximal regularity result for operators corresponding to rotation invariant (in space) symbols which are inhomogeneous in space and time. Symbols of this type frequently arise in the treatment of half-space models for (free) boundary value problems. The result is obtained by extending the Newton polygon approach to variables living in complex sectors and combining it with abstract results on functional calculus and R-bounded operator families. As an application we derive maximal regularity for the linearized Stefan problem with Gibbs-Thomson correction.
MSC-Klassifikation: 42B15; 35M10
Fachgebiet (DDC): 510 Mathematik
Normierte Schlagwörter (GND): System von partiellen Differentialgleichungen
Schlagwörter: Inhomogene Symbole, Newton Polygon, Maximale Regularität, Inhomogeneous Symbols, Newton Polygon, Maximal regularity
Link zur Lizenz: Nutzungsbedingungen
Universitätsbibliographie: Ja

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DENK, Robert, Jürgen SAAL, Jörg SEILER, 2008. Inhomogeneous symbols, the Newton polygon, and maximal Lp-regularity

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