Function spaces and elliptic differential operators

Triebel, Hans

Colloque International C.N.R.S. sur les équations aux dérivées partielles linéaires, Astérisque, no. 2-3 (1973), pp. 305-324.

MR Zbl

@incollection{AST_1973__2-3__305_0,
     author = {Triebel, Hans},
     title = {Function spaces and elliptic differential operators},
     booktitle = {Colloque International C.N.R.S. sur les \'equations aux d\'eriv\'ees partielles lin\'eaires},
     series = {Ast\'erisque},
     pages = {305--324},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {2-3},
     year = {1973},
     mrnumber = {407590},
     zbl = {0268.46035},
     language = {en},
     url = {http://archive.numdam.org/item/AST_1973__2-3__305_0/}
}

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%A Collectif
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Triebel, Hans. Function spaces and elliptic differential operators, dans Colloque International C.N.R.S. sur les équations aux dérivées partielles linéaires, Astérisque, no. 2-3 (1973), pp. 305-324. http://archive.numdam.org/item/AST_1973__2-3__305_0/

Bibliographie
Cité par

[1] S. Agmon "On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems" Comm. Pure Appl. Math. 15 (1962), 119-147 | DOI | MR | Zbl

[2] O. V. Besov "Investigation of a family of functional spaces, theorems of embedding and extension" Trudy mat. inst. Steklova 60 (1961), 42-81 (Russian) | MR

[3] P. L. Butzer, H. Berens "Semi-groups of operators and approximation" Springer, Berlin (1967) | MR | Zbl

[4] A. P. Calderon "Intermediate spaces and interpolation, the complex method" Studia Math. 24 (1964), 113-190 | DOI | EuDML | MR | Zbl

[5] G. Geymonat, P. Grisvard "Alcuni risultati di teoria spettrale per i problemi ai limiti lineari ellittici" Rendiconti Sem. Matem. Univ. Padova 38 (1967), 121-173 | EuDML | Numdam | MR | Zbl

[6] P. Grisvard "Commutativité de deux foncteurs d'interpolation et applications" Journ. Math. pures appl. 45 (1966), 143-290 | MR | Zbl

[7] S. G. Krejn "Functional analysis" SMB (2ème édition) Nauka, Moskva 1972 (Russian)

[8] B. Langemann "Uber Differenzierbarkeitseigenschaften der Greenschen Funktionen elliptischer Differentialoperatoren und die Existenz von Lösungen quasilinearer elliptischer Differentialgleichungen in Sobolev - Besov - Räumen mit Gewichtsfunktionen." Dissertation, Rostock 1969

[9] J. L. Lions, J. Peetre "Sur une classe d'espaces d'interpolation" Inst. Hautes Etudes Sci. Publ. Math. 19 (1964), 5-68 | DOI | EuDML | MR | Zbl

[10] J. L. Lions, E. Magenes "Problèmes aux limites non homogènes et applications" I Dunod, Paris (1968) | MR | Zbl

[11] E. Muller - Pfeiffer "Zur Theorie elliptischer und hypoelliptischer Differentialoperatoren" Habilitationsschrift, Jena 1967

[12] T. Muramatu "On Besov spaces of functions defined in general regions" Publ. Res. Inst. Math. Sci. Kyoto Univ. 6 (1970 1971) 515-543 | DOI | MR | Zbl

[13] S. M. Nikolskidj "Approximation of functions of several variables and embedding theorems" Nauka, Moskva 1969

[14] J. Peetre "Funderingar om Besov - rum" Technical report, Lund 1966

[15] J. Peetre "Sur les espaces de Besov" Comptes Rendus de l'Acad. Sci. Paris 264, série A (1967) 281-283 | MR | Zbl

[16] M. H. Taibleson "On the theory of Lipschitz spaces of distributions on Euclidean $n$ - space" I. Journ. Math. Mech. 13 (1964), 407-479 | MR | Zbl

[17] M. H. Taibleson "On the theory of Lipschitz spaces of distributions on Euclidean $n$ - space" II. Journ. Math. Mech. 14 (1965), 821-839 | MR | Zbl

[18] H. Triebel "Singulare elliptische Differentialgleichungen und Interpolationssätze für Sobolev - Slobodeckij - Räume mit Gewichtsfunktionen" Arch. Rat. Mech. Analysis 32 (1969), 113-134 | DOI | MR | Zbl

[19] H. Triebel "Allgemeine Legendresche Differentialoperatoren" II Ann. Scuola Norm. Sup. Pisa 24 (1970), 1-35 | EuDML | Numdam | MR | Zbl

[20] H. Triebel "Nukleare Funktionenräume und singuläre elliptische Differentialoperatoren" Studia Math. 38 (1970), 283-311 | DOI | EuDML | MR | Zbl

[21] H. Triebel "Spaces of distributions of Besov type on Euclidean $n$ - space. Duality, interpolation" Ark. f. Matem | MR | Zbl

[22] H. Triebel "Interpolation theory for spaces of Besov type. Elliptic differential operators. Proceedings of the Summer School about non linear funct. analysis" Babylon (CSSR) 1971 | Zbl

[23] H. Triebel "Interpolation theory for function spaces of Besov type defined in domains" I. Math. Nachr. | MR | Zbl

[24] H. Triebel "Interpolation theory for function spaces of Besov type defined in domains" II. Math. Nachr. | Zbl

[25] H. Triebel "Uber die Existenz von Schauderbasen in Sobolev - Besov - Räumen. Isomorphiebeziehungen" Studia Math. | EuDML | MR | Zbl

[26] H. Triebel " $L_{p}$ - theory for a class of singular elliptic differential operators" Czechoslovak Math. Journ. | EuDML | MR | Zbl