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.