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

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Nikolaos Roidos
  • Elmar Schrohe
  • Jörg Seiler

Organisationseinheiten

Externe Organisationen

  • University of Patras
  • Università di Torino
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)370-408
FachzeitschriftJournal of differential equations
Jahrgang297
Frühes Online-Datum30 Juni 2021
PublikationsstatusVeröffentlicht - 5 Okt. 2021

Abstract

Realizations of differential operators subject to differential boundary conditions on manifolds with conical singularities are shown to have a bounded \(H_\infty\)-calculus in appropriate \(L_p\)-Sobolev spaces provided suitable conditions of parameter-ellipticity are satisfied. Applications concern the Dirichlet and Neumann Laplacian and the porous medium equation.

Zitieren

Bounded H∞-calculus for boundary value problems on manifolds with conical singularities. / Roidos, Nikolaos; Schrohe, Elmar; Seiler, Jörg.
in: Journal of differential equations, Jahrgang 297, 05.10.2021, S. 370-408.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Roidos N, Schrohe E, Seiler J. Bounded H∞-calculus for boundary value problems on manifolds with conical singularities. Journal of differential equations. 2021 Okt 5;297:370-408. Epub 2021 Jun 30. doi: 10.48550/arXiv.1906.03701, 10.1016/j.jde.2021.06.005
Roidos, Nikolaos ; Schrohe, Elmar ; Seiler, Jörg. / Bounded H∞-calculus for boundary value problems on manifolds with conical singularities. in: Journal of differential equations. 2021 ; Jahrgang 297. S. 370-408.
Download
@article{955b2d682bcf4bb7ae5d4886b26fed91,
title = "Bounded H∞-calculus for boundary value problems on manifolds with conical singularities",
abstract = " Realizations of differential operators subject to differential boundary conditions on manifolds with conical singularities are shown to have a bounded \(H_\infty\)-calculus in appropriate \(L_p\)-Sobolev spaces provided suitable conditions of parameter-ellipticity are satisfied. Applications concern the Dirichlet and Neumann Laplacian and the porous medium equation. ",
keywords = "Conic manifolds with boundary, Bounded H-infinity-calculus, Realizations of elliptic boundary value problems",
author = "Nikolaos Roidos and Elmar Schrohe and J{\"o}rg Seiler",
year = "2021",
month = oct,
day = "5",
doi = "10.48550/arXiv.1906.03701",
language = "English",
volume = "297",
pages = "370--408",
journal = "Journal of differential equations",
issn = "0022-0396",
publisher = "Academic Press Inc.",

}

Download

TY - JOUR

T1 - Bounded H∞-calculus for boundary value problems on manifolds with conical singularities

AU - Roidos, Nikolaos

AU - Schrohe, Elmar

AU - Seiler, Jörg

PY - 2021/10/5

Y1 - 2021/10/5

N2 - Realizations of differential operators subject to differential boundary conditions on manifolds with conical singularities are shown to have a bounded \(H_\infty\)-calculus in appropriate \(L_p\)-Sobolev spaces provided suitable conditions of parameter-ellipticity are satisfied. Applications concern the Dirichlet and Neumann Laplacian and the porous medium equation.

AB - Realizations of differential operators subject to differential boundary conditions on manifolds with conical singularities are shown to have a bounded \(H_\infty\)-calculus in appropriate \(L_p\)-Sobolev spaces provided suitable conditions of parameter-ellipticity are satisfied. Applications concern the Dirichlet and Neumann Laplacian and the porous medium equation.

KW - Conic manifolds with boundary

KW - Bounded H-infinity-calculus

KW - Realizations of elliptic boundary value problems

U2 - 10.48550/arXiv.1906.03701

DO - 10.48550/arXiv.1906.03701

M3 - Article

VL - 297

SP - 370

EP - 408

JO - Journal of differential equations

JF - Journal of differential equations

SN - 0022-0396

ER -