MULTI-VALUED SOLUTIONS TO A CLASS OF PARABOLIC MONGE-AMPERE EQUATIONS

作者：Dai Limei^*

来源：Communications on Pure and Applied Analysis, 2014, 13(3): 1061-1074.

DOI：10.3934/cpaa.2014.13.1061

• Parabolic Monge-Ampere equations
• multi-valued solutions
• Perron method
• viscosity solutions
• existence

In this paper, we investigate the multi-valued solutions of a class of parabolic Monge-Ampere equation -u(t) det(D(2)u) = f. Using the Perron method, we obtain the existence of finitely valued and infinitely valued solutions to the parabolic Monge-Ampere equations. We generalize the results of elliptic Monge-Ampere equations and Hessian equations.

• 出版日期2014-5
• 单位潍坊学院