Bounded H∞-calculus for boundary value problems on manifolds with conical singularities

Realizations of differential operators subject to differential boundary conditions on manifolds with conical singularities are shown to have a bounded H∞-calculus in appropriate Lp-Sobolev spaces provided suitable conditions of parameter-ellipticity are satisfied. Applications concern the Dirichlet...

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Bibliographic Details
Published inJournal of Differential Equations Vol. 297; pp. 370 - 408
Main Authors Roidos, Nikolaos, Schrohe, Elmar, Seiler, Jörg
Format Journal Article
LanguageEnglish
Published Elsevier Inc 05.10.2021
Subjects
Bounded [formula omitted]-calculus
Conic manifolds with boundary
Realizations of elliptic boundary value problems
Realizations of elliptic boundary value problems
Conic manifolds with boundary
Bounded H∞-calculus
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ISSN0022-0396
1090-2732
DOI10.1016/j.jde.2021.06.005

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Summary:Realizations of differential operators subject to differential boundary conditions on manifolds with conical singularities are shown to have a bounded H∞-calculus in appropriate Lp-Sobolev spaces provided suitable conditions of parameter-ellipticity are satisfied. Applications concern the Dirichlet and Neumann Laplacian and the porous medium equation.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2021.06.005