## Abstract

n this paper, we consider the following parabolic Monge-Ampère equation

− A(x)ut + ( det D2u)1/n = f (x, t), in Q = Ω × (0, T](1.1)

where <em>u</em>= <em>u</em>(<em>x</em>, <em>t</em>) is convex in <em>x</em> for every 0 < <em>t</em> ≤ T, D<sup>2</sup><em>u</em> denotes the Hessian of <em>u</em> with respect to <em>x</em>, and Ω is a bounded convex domain in R<sup>n</sup>.

− A(x)ut + ( det D2u)1/n = f (x, t), in Q = Ω × (0, T](1.1)

where <em>u</em>= <em>u</em>(<em>x</em>, <em>t</em>) is convex in <em>x</em> for every 0 < <em>t</em> ≤ T, D<sup>2</sup><em>u</em> denotes the Hessian of <em>u</em> with respect to <em>x</em>, and Ω is a bounded convex domain in R<sup>n</sup>.

Original language | English |
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Pages (from-to) | 453-480 |

Number of pages | 28 |

Journal | American Journal of Mathematics |

Volume | 128 |

Issue number | 2 |

DOIs | |

State | Published - Apr 2006 |

## ASJC Scopus Subject Areas

- General Mathematics