Asymptotic behavior of the spectrum of singular Green operators
Séminaire Équations aux dérivées partielles (Polytechnique) (1983-1984)
- page 1-12
Access Full Article
topHow to cite
topGrubb, G.. "Asymptotic behavior of the spectrum of singular Green operators." Séminaire Équations aux dérivées partielles (Polytechnique) (1983-1984): 1-12. <http://eudml.org/doc/111844>.
@article{Grubb1983-1984,
author = {Grubb, G.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {Green operator},
language = {eng},
pages = {1-12},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Asymptotic behavior of the spectrum of singular Green operators},
url = {http://eudml.org/doc/111844},
year = {1983-1984},
}
TY - JOUR
AU - Grubb, G.
TI - Asymptotic behavior of the spectrum of singular Green operators
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1983-1984
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 12
LA - eng
KW - Green operator
UR - http://eudml.org/doc/111844
ER -
References
top- [1] M.S. Birman, Perturbations of the continuous spectrum of a singular elliptic operator under changes of the boundary and boundary conditions, Vestn. Leningr.1 (1962), 22-55. Zbl0149.31903MR138874
- [2] M.S. Birman, M.Z. Solomiak, Asymptotics of the spectra of pseudodifferential operators with anisotropic-homogeneous symbols, Vestnik Leningrad Univ.13 (1977), 13-21. Zbl0377.47033
- [3] L. Boutet de Monvel, Boundary problems for pseudo-differential operators, Acta Math.126 (1971), 11-51. Zbl0206.39401MR407904
- [4] I.C. Gohberg, M.G. Krein, Introduction to the theory of linear nonselfadjoint operators, A.M.S. Transl. Math. Monogr.18, Rhode Island, 1969. Zbl0181.13504MR246142
- [5] G. Grubb, Properties of normal boundary problems for elliptic even-order systems, Ann. Sc. Norm. Sup. Pisa1 (ser. 4) 1974, 1-61. Zbl0309.35034MR492833
- [6] G. Grubb, Estimation du reste dans l'étude des valeurs propres des problèmes aux limites pseudo-différentiels auto-adjoints, C.R. Acad. Sc. Paris (Sér. A) 287 (1978), 1017-1020. See also Sém. Goulaouic-Schwartz 1977-78, exposé 14, Palaiseau, and Proceedings of the Banach Center semester on PDE 1978. Zbl0399.58019MR519231
- [7] G. Grubb, Problèmes aux limites pseudo-différentiels dépendant d'un paramètre, C.R. Acad. Sc.292 (1981), 581-583; La résolvante d'un problème aux limites pseudo-différentiel elliptique, C.R. Acad. Sc. Paris292 (1981), 625-627. Corrections in [8], details in Copenhagen Math. Inst. Publ. Ser.1979 n° 2, 1980 n° 1, 2, 7, 8. Zbl0492.35079MR615453
- [8] G. Grubb, The heat equation associated with a pseudo-differential elliptic boundary problem, SeminarAnalysis1981/ 82, Akad. Wiss. Berlin DDR, 27-48. Zbl0508.35081MR694709
- [9] G. Grubb, Comportement asymptotique du spectre des opérateurs de Green singuliers, C.R. Acad. Sc. Paris296 (1983), 35-39. Zbl0553.35066MR691022
- [10] G. Grubb, Singular Green operators and their spectral asymptotics (to appear in Duke Math. J.51 (1984)). Zbl0553.58034MR757950
- [11] P.E. Hmelnickii., On the asymptotics of the spectrum of integral operators connected with elliptic boundary value problems, Soviet Math. Doklady19 (1978), 1001-1005. Details in Problemsin Mathematical Analysis 8, Spectral Theory, Leningrad Univ.1981, 189-212. Zbl0455.47044
- [12] A.A. Laptev, Spectral asymptotics of a composition of pseudo-differential operators and reflections from the boundary, Soviet Math. Dokl.18 (1977), 1273-1276. Details in Trudy Mosc. Mat. Obsv.43 (1981), 92-115. Zbl0391.47035MR651330
- [13] R. Seeley, Complex powers of an elliptic operator, A.M.S. Proc. Symp. Pure Math.10 (1967), 288-307. Zbl0159.15504MR237943
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.