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- W2766007462 abstract "Abstract We classify all solutions to − u t det D 2 u = f ( x ) in R − n + 1 , where f ∈ C α ( R n ) is a positive periodic function in x. More precisely, if u is a parabolically convex solution to above equation, then u is the sum of a convex quadratic polynomial in x, a periodic function in x and a linear function of t. It can be viewed as a generalization of the work of Gutierrez and Huang in 1998. And along the line of approach in this paper, we can treat other parabolic Monge–Ampere equations." @default.
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- W2766007462 date "2018-08-01" @default.
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- W2766007462 title "A Calabi theorem for solutions to the parabolic Monge–Ampère equation with periodic data" @default.
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- W2766007462 doi "https://doi.org/10.1016/j.anihpc.2017.09.007" @default.
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