Unique continuation for operatorswith partially analytic coefficients

Unique continuation for operatorswith partially analytic coefficients
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具有部分解析系数的算子的唯一延拓

DOI:
10.1016/s0021-7824(99)00016-1
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发表时间:
1999
期刊:
Journal de Mathématiques Pures et Appliquées
影响因子:
--
通讯作者:
D. Tataru
D. Tataru
中科院分区:
--
文献类型:
--
作者:
D. Tataru

文献摘要

被引文献

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Tataru(1995)给出了具有部分解析系数的偏微分算子的一般唯一延拓结果;但是,这里使用了某些技术假设。Hörmander(1985)和Robbiano和Zuily(预印本)独立地排除了这些假设的一部分。本文的目的是消除剩余的技术限制,同时为整个结果提供一个简单的证明。
A general unique continuation result for partial differential operators with partially analytic coefficients was obtained in Tataru (1995); however, certain technical assumptions were used there. A part of these assumptions were elliminated independently by Hörmander (1985), and Robbiano and Zuily (preprint). The aim of this note is to remove the remaining technical restriction and, at the same time, to provide a simple proof for the entire result.