CARLEMAN TYPE ESTIMATES IN AN ANISOTROPIC CASE AND APPLICATIONS

CARLEMAN TYPE ESTIMATES IN AN ANISOTROPIC CASE AND APPLICATIONS
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DOI:
10.1006/jdeq.1993.1088
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发表时间:
1993-10-01
影响因子:
2.4
通讯作者:
ISAKOV, V
ISAKOV, V
中科院分区:
数学2区
文献类型:
--
作者:
ISAKOV, V

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用H表示不等式(1.6)的左边,用H表示对j求和的相同表达式,k= 1,…如果w是一个函数,那么P ' ' (x; Vw (x))在我们特定的坐标变化下是不变的,因此重复Hörmander的书[3,P . 186]中的论点,我们得出H也是不变的结论。
Denote by H, the left side of the inequality (1.6) and by H the same expression with the sums over j, k= 1,..., n. If w is a function then P „(x; Vw (x)) is invariant under our specific changes of coordinates, so repeating the argument from Hörmander's book [3, p. 186], we conclude that H is invariant as well.