Explicit positive solutions to G-heat equations and the application to G-capacities

[摘要] In this paper, we study a class of explicit positive solutions to G-heat equations by solving second order nonlinear ordinary differential equations. Based on the positive solutions, we give the sharp order of G-capacity c(sigma)([-epsilon, epsilon]) when epsilon -> 0. (C) 2021 Elsevier Inc. All rights reserved.

[发布日期] 2021-10-05

[关键词] G-heat equation;Barenblatt equation;G-capacity;G-normal distribution