Finiteness of Negative Spectra of Elliptic Operators

Finiteness of Negative Spectra of Elliptic Operators
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椭圆算子负谱的有限性

DOI:
10.4153/cmb-1985-060-1
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发表时间:
1985
期刊:
Canadian Mathematical Bulletin
影响因子:
--
通讯作者:
M. Murata
M. Murata
中科院分区:
--
文献类型:
--
作者:
M. Murata

文献摘要

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摘要 建立了Rn 上高阶椭圆算子负谱的有限性准则。通过建立椭圆算子的同构定理并应用Konno-Kuroda的抽象有限性准则得到了结果。
Abstract Finiteness criteria are established for the negative spectra of higher order elliptic operators on Rn . The results are obtained by establishing isomorphism theorems for elliptic operators and applying the abstract finiteness criterion of Konno-Kuroda.