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1. Asymptotic behavior on a kind of parabolic Monge–Ampère equation.

Author

Wang, Bo and Bao, Jiguang

Subjects
*MONGE-Ampere equations, *DIFFERENTIAL equations, *ASYMPTOTIC theory of algebraic ideals, *PERTURBATION theory, *LEVEL set methods, *INFINITY (Mathematics)
Abstract

In this paper, we apply level set and nonlinear perturbation methods to obtain the asymptotic behavior of the solution to a kind of parabolic Monge–Ampère equation at infinity. The Jörgens–Calabi–Pogorelov theorem for parabolic and elliptic Monge–Ampère equation can be regarded as special cases of our result. [ABSTRACT FROM AUTHOR]

Published
2015
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