Regularity of Weak Solutions to a Class of Complex Hessian Equations on Kähler Manifolds
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@Article{JMS-54-171,
author = {Sheng , Weimin and Wang , Jiaxiang},
title = {Regularity of Weak Solutions to a Class of Complex Hessian Equations on Kähler Manifolds},
journal = {Journal of Mathematical Study},
year = {2021},
volume = {54},
number = {2},
pages = {171--185},
abstract = {
We prove the smoothness of weak solutions to a class of complex Hessian equations on closed Kähler manifolds, by use of the smoothing property of the corresponding gradient flow.
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v54n2.21.04}, url = {http://global-sci.org/intro/article_detail/jms/18615.html} }
TY - JOUR
T1 - Regularity of Weak Solutions to a Class of Complex Hessian Equations on Kähler Manifolds
AU - Sheng , Weimin
AU - Wang , Jiaxiang
JO - Journal of Mathematical Study
VL - 2
SP - 171
EP - 185
PY - 2021
DA - 2021/02
SN - 54
DO - http://doi.org/10.4208/jms.v54n2.21.04
UR - https://global-sci.org/intro/article_detail/jms/18615.html
KW - Complex Hessian equation, regularity of weak solutions, pluripotential theory, parabolic flows.
AB -
We prove the smoothness of weak solutions to a class of complex Hessian equations on closed Kähler manifolds, by use of the smoothing property of the corresponding gradient flow.
Sheng , Weimin and Wang , Jiaxiang. (2021). Regularity of Weak Solutions to a Class of Complex Hessian Equations on Kähler Manifolds.
Journal of Mathematical Study. 54 (2).
171-185.
doi:10.4208/jms.v54n2.21.04
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