HAAK, Bernhard H.; HAASE, Markus; KUNSTMANN, Peer Christian

Metadatos

Mostrar el registro completo del ítem

Licencia de uso del documento

HAAK, Bernhard H.
INSTITUT FUER ANALYSIS
Institut de Mathématiques de Bordeaux [IMB]

HAASE, Markus
Classe di Scienze

KUNSTMANN, Peer Christian
INSTITUT FUER ANALYSIS

Idioma

Article de revue

Este ítem está publicado en

Advances in Differential Equations. 2006, vol. 11, n° 2, p. 201-240

Khayyam Publishing

Resumen en inglés

We prove perturbation theorems for sectoriality and $R$--sectoriality in Banach spaces, which yield results on perturbation of generators of analytic semigroups and on perturbation of maximal $L^p$--regularity. For a given sectorial or $R$--sectorial operator $A$ in a Banach space $X$ we give conditions on intermediate spaces $Z$ and $W$ such that, for an operator $S: Z\to W$ of small norm, the perturbed operator $A+S$ is again sectorial or $R$--sectorial, respectively. These conditions are obtained by factorising the perturbation as $S= -BC$, where $B$ acts on an auxiliary Banach space $Y$ and $C$ maps into $Y$. Our results extend previous work on perturbations in the scale of fractional domain spaces associated with $A$ and allow for a greater flexibility in choosing intermediate spaces for the action of perturbation operators. At the end we illustrate our results with several examples, in particular with an application to a rough boundary value problem.< Leer menos

Palabras clave en inglés

perturbation

sectoriality

$R$-sectoriality

Metadatos

Compartir este ítem

Licencia de uso del documento

Perturbation, Interpolation, and Maximal Regularity

Idioma

Este ítem está publicado en

Resumen en inglés

Palabras clave en inglés

URI

Orígen

Centros de investigación