外区域上的抛物型Monge-Ampère方程

Parabolic Monge-Ampère Equations on Exterior Domains

研究外区域上的抛物型Monge-Ampere方程-u_t det(D^2u)=f解的存在性.利用Perron方法得到了该方程的外问题具有渐近性质解的存在性与唯一性.

We study the existence of solutions to the parabolic Monge-Ampere equations —u_t det(D^2u) = / on the exterior domains.Using the Perron method,we get the existence and uniqueness of solutions with the asymptotic behavior to the exterior problems of parabolic Monge-Ampere equations.