Journal article icon

Journal article

A gradient estimate on a manifold with convex boundary

Abstract:
We present a simple probability approach for establishing a gradient estimate for a solution of an elliptic equation on a compact Riemannian manifold with convex boundary, or on a noncompact complete manifold. Our method can also be applied to derive a similar gradient estimate for a nonlinear parabolic equation, and an abstract gradient estimate for a Markov semigroup.

Actions


Access Document


Publisher copy:
10.1017/S0308210500023568

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author


Journal:
Royal Society of Edinburgh - Proceedings A More from this journal
Volume:
127
Issue:
1
Pages:
171-179
Publication date:
1997-01-01
DOI:
EISSN:
1473-7124
ISSN:
0308-2105


Language:
English
Pubs id:
pubs:147876
UUID:
uuid:253bb978-8d9b-4809-bbf9-24c42c4be50c
Local pid:
pubs:147876
Source identifiers:
147876
Deposit date:
2012-12-19

Terms of use



Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP