Singular perturbations and parameter-dependent pseudo-differential boundary problems

Gerd Grubb

Journées équations aux dérivées partielles (1986)

  • page 1-7
  • ISSN: 0752-0360

How to cite

top

Grubb, Gerd. "Singular perturbations and parameter-dependent pseudo-differential boundary problems." Journées équations aux dérivées partielles (1986): 1-7. <http://eudml.org/doc/93143>.

@article{Grubb1986,
author = {Grubb, Gerd},
journal = {Journées équations aux dérivées partielles},
keywords = {parameterdependent; singular perturbation; Dirichlet problem},
language = {eng},
pages = {1-7},
publisher = {Ecole polytechnique},
title = {Singular perturbations and parameter-dependent pseudo-differential boundary problems},
url = {http://eudml.org/doc/93143},
year = {1986},
}

TY - JOUR
AU - Grubb, Gerd
TI - Singular perturbations and parameter-dependent pseudo-differential boundary problems
JO - Journées équations aux dérivées partielles
PY - 1986
PB - Ecole polytechnique
SP - 1
EP - 7
LA - eng
KW - parameterdependent; singular perturbation; Dirichlet problem
UR - http://eudml.org/doc/93143
ER -

References

top
  1. [1] S. Agmon: On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems, Comm. Pure Appl. Math. 15 (1962), 119-147. Zbl0109.32701MR26 #5288
  2. [2] L. Boutet de Monvel: Boundary problems for pseudo-differential operators, Acta Math. 126 (1971), 11-51. Zbl0206.39401MR53 #11674
  3. [3] L.S. Frank: Coercive singular perturbations I : A priori estimates, Ann. Mat. pura appl. 119 (1979), 41-113. Zbl0468.35011MR81b:35025
  4. [4] L.S. Frank and W.D. Wendt: Coercive singular perturbations II : Reduction to regular perturbations and applications, Comm. Part. Diff. Equ. 7 (1982), 469-535. Zbl0501.35007MR83g:35035
  5. [5] L.S. Frank and W.D. Wendt: Coercive singular perturbations III : Wiener-Hopf operators, J. d'Analyse Math. 43 (1984), 88-135. Zbl0572.35006MR86i:47033
  6. [6] L.S. Frank and W.D. Wendt: Erratum, Comm. Part. Diff. Equ. 10 (1985), 1227. 
  7. [7] G. Grubb: On Pseudo-Differential Boundary Problems. Reports no. 2 (1979), 1, 2, 7 and 8 (1980), Copenhagen University Math. Dept. Publication Series. Zbl0456.35015
  8. [8] G. Grubb: Problèmes aux limites dépendant d'un paramètre, C.R. Acad. Sci. Paris (Sér. I) 292 (1981), 581-583. Zbl0492.35079MR82f:35194
  9. [9] G. Grubb: La résolvante d'un problème aux limites pseudo-différentiel elliptique, C.R. Acad. Sci. Paris (Sér. I) 292 (1981), 625-627. Zbl0489.35083MR82f:35141
  10. [10] G. Grubb: The heat equation associated with a pseudo-differential boundary problem, Seminar Analysis 1981-1982, Akad. Wiss. Berlin, 27-41. [Also avail-able as Preprint no. 2, 1982, Copenhagen Univ. Math. Dept.] Zbl0508.35081
  11. [11] G. Grubb: Une méthode pseudo-différentielle pour les perturbations singulière elliptiques, C.R. Acad. Sci. Paris (Sér. I) 301 (1985), 427-430. Zbl0595.35045MR86k:35011
  12. [12] G. Grubb: Functional Calculus of Pseudo-Differential Boundary Problems, Progress in Mathematics, vol. 65, Birkhäuser Boston 1986. Zbl0622.35001MR88f:35002
  13. [13] D. Huet: Décomposition spectrale et opérateurs. Presses universitaires de France, Paris 1977. Zbl0334.47015
  14. [14] D. Huet: Proper approximation of a normed space and singular perturbations, Analytical and Numerical Approaches to Asymptotic Problems in Analysis, North Holland Publ. Co. 1981, 87-98. Zbl0485.35008MR82i:35016
  15. [15] D. Huet: Convergence propre et perturbations singulières coercives, C.R. Acad. Sci. Paris 301 (Sér. I) (1985), 435-438 ; Stabilité inverse d'une famille d'opérateurs opérant dans des espaces normés et dépendant d'un paramètre, ibid., 675-677. Zbl0593.47009MR87d:46038
  16. [16] S. Rempel and B.-W. Schulze: Complex powers for pseudo-differential boundar problems I and II, Math. Nachr. 111 (1983), 41-109, and Math. Nachr. 116 (1984), 269-314. Zbl0528.35090
  17. [17] R. Seeley: The resolvent of an elliptic boundary problem, Amer. J. Math. 91 (1969), 889-920. Zbl0191.11801MR42 #673
  18. [18] M.I. Vishik and L. Lyusternik: Regular degeneration and boundary layer for linear differential equations with small parameters, Uspekhi Mat. Nauk 12 (1957), 3-122 = Amer. Math. Soc. Transl. (2), 20 (1962), 239-264. Zbl0122.32402

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.