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- W1517369535 abstract "In this article, we study a class of Monge-Ampère equations of mixed type which is elliptic in one side of a hypersurface and hyperbolic in another side. The degeneracy along the hypersurface is allowed to be at arbitrary, even infinite, order. The linearized equation is also of mixed type and includes the high-dimensional Tricomi equation as a special case. We establish the existence of sufficiently smooth local solutions to the Monge-Ampère equations via Nash-Moser iteration" @default.
- W1517369535 created "2016-06-24" @default.
- W1517369535 creator A5068120408 @default.
- W1517369535 date "2007-02-15" @default.
- W1517369535 modified "2023-09-25" @default.
- W1517369535 title "Local solutions to a class of Monge-Ampère equations of mixed type" @default.
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- W1517369535 doi "https://doi.org/10.1215/s0012-7094-07-13632-9" @default.
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