TY  - JOUR
A1  - Bandara, Lashi
A1  - Bryan, Paul
T1  - Heat kernels and regularity for rough metrics on smooth manifolds
JF  - Mathematische Nachrichten
N2  - We consider rough metrics on smooth manifolds and corresponding Laplacians induced by such metrics. We demonstrate that globally continuous heat kernels exist and are Holder continuous locally in space and time. This is done via local parabolic Harnack estimates for weak solutions of operators in divergence form with bounded measurable coefficients in weighted Sobolev spaces.
KW  - heat kernel
KW  - parabolic Harnack estimate
KW  - rough metrics
Y1  - 2020
U6  - https://doi.org/10.1002/mana.201800459
SN  - 0025-584X
SN  - 1522-2616
VL  - 293
IS  - 12
SP  - 2255
EP  - 2270
PB  - Wiley-VCH
CY  - Weinheim
ER  -