On the Eigenvalue Problem for a Certain | Zendy

Babarsky Richard | Zendy; Wood Houston G. | Zendy

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On the Eigenvalue Problem for a Certain

Author(s) -

Babarsky Richard,

Wood Houston G.

Publication year - 1986

Publication title -

studies in applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.164

H-Index - 46

eISSN - 1467-9590

pISSN - 0022-2526

DOI - 10.1002/sapm1986753249

Subject(s) - eigenvalues and eigenvectors , mathematics , resolvent , operator (biology) , perturbation (astronomy) , mathematical analysis , semi elliptic operator , differential operator , domain (mathematical analysis) , partial differential equation , pure mathematics , physics , quantum mechanics , biochemistry , repressor , transcription factor , gene , chemistry

This paper studies the spectral properties of the partial differential operator over a finite region Ω. This operator, which arises in the analysis of nonaxisymmetric, rapidly rotating compressible flows, is treated as a perturbation of the operator which is generated by the terms Using the fact that , when defined on a suitable domain, is closed and self‐adjoint, it is shown that [when acting on elements of ] is an operator with compact resolvent whose generalized eigenvectors are complete in ℒ 2 (Ω).

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