An analyticity result for the dependence of multiple eigenvalues and eigenspaces of the laplace operator upon perturbation of the domain

Glasgow Mathematical Journal

Volumn 44, Issue 1, 2002, Pages 29-43

  Lamberti, Pier Domenico ^a   De Cristoforis, Massimo Lanza ^a  

^a UNIVERSITY OF PADOVA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035994659     PISSN: 00170895     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0017089502010157     Document Type: Article

References (23)

1. The generalized gradient at a multiple eigenvalue
2. Sensitivity analysis of all eigenvalues of a symmetrical elliptic operator
3. Dérivées par rapport au domaine des valeurs propres du laplacien
4. On the perturbed eigenvalue problem
5. Dependence of eigenvalues on the problem
6. Properties and pathologies of the composition and inversion operators in Schauder spaces
7. Higher order differentiability properties of the composition and of the inversion operator
8. A functional decomposition theorem for the conformal representation
9. On multiple eigenvalues of selfadjoint compact operators
10. A remark on the structure of the set of perturbations which keep fixed the multiplicity of two eigenvalues
11. On the persistence of the multiplicity of eigenvalues for some variational elliptic operator depending on the domain
12. Perturbazione dello spettro dell'operatore di Laplace in relazione ad una variazione del campo
13. Perturbazione dello spettro di un operatore ellittico di tipo variazionale in relazione ad una variazione del campo
14. Dipendenza dal dominio degli autovalori dell'operatore di Laplace
15. Elliptic differential equations and obstacle problems