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 - <p style="text-align: justify;">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.</p>