Strictly elliptic operators with Dirichlet boundary conditions on spaces of continuous functions on manifolds

We study strictly elliptic differential operators with Dirichlet boundary conditions on the space C ( M ¯ ) of continuous functions on a compact Riemannian manifold M ¯ with boundary and prove sectoriality with optimal angle π 2 .

Saved in:
Bibliographic Details
Published in:Journal of evolution equations 2020-09, Vol.20 (3), p.1005-1028
Main Author: Binz, Tim
Format: Article
Language:English
Subjects:
Analysis
Boundary conditions
Continuity (mathematics)
Differential equations
Dirichlet problem
Mathematics
Mathematics and Statistics
Operators (mathematics)
Riemann manifold
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We study strictly elliptic differential operators with Dirichlet boundary conditions on the space C ( M ¯ ) of continuous functions on a compact Riemannian manifold M ¯ with boundary and prove sectoriality with optimal angle π 2 .
ISSN:1424-3199
1424-3202
DOI:10.1007/s00028-019-00548-y