Asymptotic behavior of the spectrum of singular Green operators

G. Grubb

Séminaire Équations aux dérivées partielles (Polytechnique) (1983-1984)

  • page 1-12

How to cite

top

Grubb, 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. [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. [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. [3] L. Boutet de Monvel, Boundary problems for pseudo-differential operators, Acta Math.126 (1971), 11-51. Zbl0206.39401MR407904
  4. [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. [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. [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. [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. [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. [9] G. Grubb, Comportement asymptotique du spectre des opérateurs de Green singuliers, C.R. Acad. Sc. Paris296 (1983), 35-39. Zbl0553.35066MR691022
  10. [10] G. Grubb, Singular Green operators and their spectral asymptotics (to appear in Duke Math. J.51 (1984)). Zbl0553.58034MR757950
  11. [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. [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. [13] R. Seeley, Complex powers of an elliptic operator, A.M.S. Proc. Symp. Pure Math.10 (1967), 288-307. Zbl0159.15504MR237943

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.