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Spectral Properties of Some Semi - Elliptic Operators in Lp

✍ Scribed by Vitali Shevchik

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
557 KB
Volume
202
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

Spectral properties of the semi‐elliptic operator
equation image
in L~p~ (1 < p < ∞) spaces are investigated. In particular it is proved that there exists μ0 such that if μ__> μ0__, then A~μ, P~ has the point spectrum and λ~k~(A~μ, P~) ˜ where A~μ, P~ is the unbounded operator generated by A~μ~ in L~p~ and λ k (A~μ,P~) its eigenvalues.

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