Spectral asymptotics of compact pseudodifferential operators with ?constant? symbol

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1986 English Publisher:Springer Science and Business Media LLCJournal:Journal of Soviet Mathematics, volume 32, pages 423-426 (issn: 0090-4104, eissn: 1573-8795,

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Authors: Andreev, A. S.;

doi: 10.1007/bf01372193

Spectral asymptotics of compact pseudodifferential operators with ?constant? symbol

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Abstract

The author considers matrix pseudo-differential operators on Euclidean sets. It is supposed that this function of operator symbol belonging to the Hörmander class is the function with argument ''\(\xi\) ''. For these operators formula of spectral asymptotic with a remainder estimate is obtained.

Keywords

Asymptotic distributions of eigenvalues in context of PDEs, Pseudodifferential operators as generalizations of partial differential operators, A priori estimates in context of PDEs

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