【摘要】 本文讨论如下抛物型Monge-Ampere方程的第一初边值问题-ut+det1/n D2u=g(χ,t),(χ,t)∈Q=Ω×(0,T),u= (χ,t),(χ,t)∈ pQ,其中Ω为Rn中有界凸集.证明了在更一般的结构条件下[3,7]的结果仍然成立.证明中重要的一点是在Rn × R中非柱型域上“冻结问题”的可解性.更多还原

【Abstract】 Some remarks are given on the results of [3] and [7]. The problem considered here is a bounded convex domain in R? It is obtained that the results in [3] and [7] are also true under a more general structure condition. One of the main points in the proof is the solvability of the "frozen problem" in a non-cylindrical domain in M?x R.更多还原