Details
| Original language | English |
|---|---|
| Pages (from-to) | 370-408 |
| Journal | Journal of differential equations |
| Volume | 297 |
| Early online date | 30 Jun 2021 |
| Publication status | Published - 5 Oct 2021 |
Abstract
Keywords
- Conic manifolds with boundary, Bounded H-infinity-calculus, Realizations of elliptic boundary value problems
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Journal of differential equations, Vol. 297, 05.10.2021, p. 370-408.
Research output: Contribution to journal › Article › Research › peer review
}
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 -