由强m -椭圆伪微分算子生成的Lp(Rn)上有界线性算子的全纯单参数半群,1 < p < ∞

IF 1.3 3区 数学 Q2 MATHEMATICS, APPLIED
Yaodong Gao, M.W. Wong
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引用次数: 0

摘要

对于Rn上的一个m -椭圆伪微分算子,给出了其符号的一个充分条件,以保证它是Lp(Rn), 1<p<;∞上有界线性算子的全纯单参数半群的无穷小生成。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Holomorphic one-parameter semigroups of bounded linear operators on Lp(Rn), 1 < p < ∞, generated by strongly M-elliptic pseudo-differential operators
For a M-elliptic pseudo-differential operator on Rn, we give a sufficient condition on its symbol to ensure that it is the infinitesimal generator of a holomorphic one-parameter semigroup of bounded linear operators on Lp(Rn), 1<p<.
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来源期刊
CiteScore
1.90
自引率
7.70%
发文量
71
审稿时长
6-12 weeks
期刊介绍: Founded in 1870, by Gaston Darboux, the Bulletin publishes original articles covering all branches of pure mathematics.
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