In questa Nota si considerano, in opportuni spazi con peso, problemi al contorno in un semispazio per operatori del tipo dove è un operatore ellittico e è un parametro complesso.
@article{RLINA_1979_8_67_3-4_223_0,
author = {Antonio Bove and Bruno Franchi and Enrico Obrecht},
title = {Elliptic Equations Containing the Term $r \frac {\partial}{\partial r}$ in a Half Space},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
volume = {66},
year = {1979},
pages = {223-226},
zbl = {0455.35050},
language = {en},
url = {http://dml.mathdoc.fr/item/RLINA_1979_8_67_3-4_223_0}
}
Bove, Antonio; Franchi, Bruno; Obrecht, Enrico. Elliptic Equations Containing the Term $r \frac {\partial}{\partial r}$ in a Half Space. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti, Tome 66 (1979) pp. 223-226. http://gdmltest.u-ga.fr/item/RLINA_1979_8_67_3-4_223_0/
[1] and (1964) - Elliptic Problems with a Parameter and Parabolic Problems of General Type (Russian), «Uspehi Mat. Nauk», 19, no.3, 53-162; Engl. Transl.: «Russian Math. Surveys», 19, no.3, 53-157. | MR 352622
[2] (1971) - Elliptic Equations in Unbounded Domains (Russian), «Mat. Sb.», 86 (128), 121-139; Engl. Transl.: «Math. - USSR Sb.», 15, 121-140. | MR 192188 | Zbl 0228.35038
[3] , and (1979) - An Initial-Boundary Value Problem with Mixed Lateral Conditions for Heat Equation, «Ann. Mat. Pura Appl.», (4), 121, 277-307. | MR 296750 | Zbl 0421.35036
[4] , and - A Boundary Value Problem for Elliptic Equations with Polynomial Coefficients in a Half Space II: The Boundary Value Problem, to appear in «Boll. Un. Mat. Ital.». | MR 554781 | Zbl 0484.35035
[5] , and - Elliptic Equations with Polynomially Growing Coefficients in a Half Space, to appear in «Boll. Un. Mat. Ital.». | MR 629412 | Zbl 0452.35025
[6] , and (1980) - Boundary Value Problems for Operators like , «Rend. Mat.», (7), 1 (to appear). | MR 770814
[7] (1972) - Interpolation non commutative, «Atti Accad. Naz. Lincei, Rend. Cl. Sci. Fis. Mat. Nat.», (8), 52, 11—15. | MR 623399
[8] (1961) - A Generalization of the Heinz Inequality, «Proc. Japan Acad.», 13, 305-308. | MR 358337 | Zbl 0104.09304
[9] (1962) - Espaces d'interpolation et domaines de puissances fractionnaires d'opérateurs, «J. Math. Soc. Japan», 14, 233-241. | MR 145345
[10] (1978) - Interpolation Theory, Function Spaces, Differential Operators, North Holland, Amsterdam. | MR 152878