Asymptotic expansion for nonlinear eigenvalue problems

In this paper we consider generalized eigenvalue problems for a family of operators with a quadratic dependence on a complex parameter. Our model is L ( λ ) = − △ + ( P ( x ) − λ ) 2 in L 2 ( R d ) where P is a positive elliptic polynomial in R d of degree m ⩾ 2 . It is known that for d even, or d =...

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Bibliographic Details
Published in:	Journal de mathématiques pures et appliquées Vol. 93; no. 2; pp. 149 - 162
Main Authors:	Aboud, Fatima, Robert, Didier
Format:	Journal Article
Language:	English
Published:	Kidlington Elsevier SAS 01.02.2010 Elsevier
Subjects:	Analysis of PDEs Exact sciences and technology Functional Analysis General mathematics General, history and biography Mathematical Physics Mathematics Non-selfadjoint operators Nonlinear eigenvalue problems Physics Sciences and techniques of general use Semiclassical analysis Spectral Theory Trace formula Semiclassical analysis Non-selfadjoint operators Nonlinear eigenvalue problems Trace formula Polynomial Asymptotic expansion Nonexistence of solution Mathematics Nonlinear problems Eigenvalue problem Self adjoint operator nonlinear eigenvalue partial differential equation non-seladjoint operator trace formula semiclassical analysis
ISSN:	0021-7824
Online Access:	Get full text
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