On a parabolic Monge–Ampère type equation on compact almost Hermitian manifolds

IF 0.8 3区 数学 Q2 MATHEMATICS
Masaya Kawamura
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引用次数: 0

Abstract

We investigate a parabolic Monge–Ampère type equation on compact almost Hermitian manifolds and derive a priori gradient and second-order derivative estimates for solutions to this parabolic equation. These a priori estimates give us higher order estimates and a long-time solution. Then, we can observe its behavior as t $t\rightarrow \infty$ .

关于紧凑几乎赫尔墨斯流形上的抛物蒙日-安培类型方程
我们研究了紧凑几乎赫尔墨斯流形上的抛物线蒙日-安培(Monge-Ampère)型方程,并推导出该抛物线方程解的先验梯度和二阶导数估计。这些先验估计给出了高阶估计和一个长时解。然后,我们可以观察到它的行为为 .
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来源期刊
CiteScore
1.50
自引率
0.00%
发文量
157
审稿时长
4-8 weeks
期刊介绍: Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index
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