抛物型Hessian方程的外问题  

Exterior problems for parabolic Hessian equations

作　　者：付永强[1] FU Yongqiang(Department of Mathematics,Harbin Institute of Technology,Harbin 150001,China)

机构地区：[1]哈尔滨工业大学数学学院,哈尔滨150001

出　　处：《黑龙江大学自然科学学报》2021年第4期379-386,共8页Journal of Natural Science of Heilongjiang University

基　　金：Supported by the National Natural Science Foundation of China(11771107)。

摘　　要：研究抛物型Hessian方程的外问题。利用上下解方法证明了具有无穷远渐近性的黏性解的存在唯一性。该研究将相应结果推广至抛物型Monge-Ampère方程。This paper is concerned with the exterior problems for parabolic Hessian equations.The existence and uniqueness of viscosity solution with asymptotic behavior at infinity by means of super-sub-solution method is established.The result is a generalization of the corresponding one for parabolic Monge-Ampère equations.

关 键 词：抛物型Hessian方程 外问题 渐近行为 

分 类 号：O175.29[理学—数学]