@article{JEDP_1986____A9_0, author = {Grubb, Gerd}, title = {Singular perturbations and parameter-dependent pseudo-differential boundary problems}, journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, eid = {9}, pages = {1--7}, publisher = {Ecole polytechnique}, year = {1986}, mrnumber = {874551}, zbl = {0607.35012}, language = {en}, url = {http://www.numdam.org/item/JEDP_1986____A9_0/} }
TY - JOUR AU - Grubb, Gerd TI - Singular perturbations and parameter-dependent pseudo-differential boundary problems JO - Journées équations aux dérivées partielles PY - 1986 SP - 1 EP - 7 PB - Ecole polytechnique UR - http://www.numdam.org/item/JEDP_1986____A9_0/ LA - en ID - JEDP_1986____A9_0 ER -
Grubb, Gerd. Singular perturbations and parameter-dependent pseudo-differential boundary problems. Journées équations aux dérivées partielles (1986), article no. 9, 7 p. http://www.numdam.org/item/JEDP_1986____A9_0/
[1] On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems, Comm. Pure Appl. Math. 15 (1962), 119-147. | MR | Zbl
:[2] Boundary problems for pseudo-differential operators, Acta Math. 126 (1971), 11-51. | MR | Zbl
:[3] Coercive singular perturbations I : A priori estimates, Ann. Mat. pura appl. 119 (1979), 41-113. | MR | Zbl
:[4] Coercive singular perturbations II : Reduction to regular perturbations and applications, Comm. Part. Diff. Equ. 7 (1982), 469-535. | MR | Zbl
and :[5] Coercive singular perturbations III : Wiener-Hopf operators, J. d'Analyse Math. 43 (1984), 88-135. | MR | Zbl
and :[6] Erratum, Comm. Part. Diff. Equ. 10 (1985), 1227.
and :[7] On Pseudo-Differential Boundary Problems. Reports no. 2 (1979), 1, 2, 7 and 8 (1980), Copenhagen University Math. Dept. Publication Series.
:[8] Problèmes aux limites dépendant d'un paramètre, C.R. Acad. Sci. Paris (Sér. I) 292 (1981), 581-583. | MR | Zbl
:[9] La résolvante d'un problème aux limites pseudo-différentiel elliptique, C.R. Acad. Sci. Paris (Sér. I) 292 (1981), 625-627. | MR | Zbl
:[10] 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.] | Zbl
:[11] Une méthode pseudo-différentielle pour les perturbations singulière elliptiques, C.R. Acad. Sci. Paris (Sér. I) 301 (1985), 427-430. | MR | Zbl
:[12] Functional Calculus of Pseudo-Differential Boundary Problems, Progress in Mathematics, vol. 65, Birkhäuser Boston 1986. | MR | Zbl
:[13] Décomposition spectrale et opérateurs. Presses universitaires de France, Paris 1977. | Zbl
:[14] 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. | MR | Zbl
:[15] 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. | MR | Zbl
:[16] Complex powers for pseudo-differential boundar problems I and II, Math. Nachr. 111 (1983), 41-109, and Math. Nachr. 116 (1984), 269-314. | Zbl
and :[17] The resolvent of an elliptic boundary problem, Amer. J. Math. 91 (1969), 889-920. | MR | Zbl
:[18] 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. | Zbl
and :