吉林大学学报(理学版)Issue(4):597-605,9.DOI:10.13413/j.cnki.jdxblxb.2015.04.03
乘积形式的抛物型 k-Hessian 方程
Parabolic k-Hessian Equations in Product Form
摘要
Abstract
We used the prior estimation and the method of continuity to study the first initial boundary value problem of -utS k (λ(D 2 u))=ψ(x ,t,u),which is a class of parabolic k-Hessian equations,so as to obtain the existence of the admissible solutions.If the admissible subsolutions exist in general smooth region Ω,there is a prior estimation of the admissible solution.Besides,the solution is unique ifψu ≥0.关键词
完全非线性/抛物型/Hessian方程Key words
fully nonlinear/parabolic/Hessian equations分类
数理科学引用本文复制引用
牛颖,杜库,郝乐..乘积形式的抛物型 k-Hessian 方程[J].吉林大学学报(理学版),2015,(4):597-605,9.基金项目
国家自然科学基金(批准号:J13100220) (批准号:J13100220)