THE Cα REGULARITY OF A CLASS OF ULTRAPARABOLIC EQUATIONS

THE Cα REGULARITY OF A CLASS OF ULTRAPARABOLIC EQUATIONS
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一类超抛物线方程的Cα正则性

DOI:
10.1142/s0219199711004385
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发表时间:
2005
影响因子:
1.6
通讯作者:
Liqun Zhang
Liqun Zhang
中科院分区:
数学2区
文献类型:
--
作者:
Liqun Zhang

文献摘要

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证明了一类具有可测系数的超抛物方程弱解的Cα正则性.这一结果将我们最近关于Prandtl系统的Cα正则性结果推广到高维情形.
We prove the Cα regularity for weak solutions to a class of ultraparabolic equation, with measurable coefficients. The result generalized our recent Cα regularity results of Prandtl's system to high dimensional cases.