Bove, Antonio and Franchi, Bruno and 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 Serie 8 67 (1979), fasc. n.3-4, p. 223-226, (English)
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Sunto
In questa Nota si considerano, in opportuni spazi con peso, problemi al contorno in un semispazio per operatori del tipo $A (x,\partial) + x \cdot \nabla + q^{2}$ dove $A (x,\partial)$ è un operatore ellittico e $q$ è un parametro complesso.
Referenze Bibliografiche
[1]
M.S. Agranovič and
M.I. Višik (
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]
L.A. Bagirov (
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]
A. Bove,
B. Franchi and
E. Obrecht (
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]
A. Bove,
B. Franchi and
E. Obrecht -
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]
A. Bove,
B. Franchi and
E. Obrecht -
Elliptic Equations with Polynomially Growing Coefficients in a Half Space, to appear in «
Boll. Un. Mat. Ital.». |
MR 629412 |
Zbl 0452.35025[6]
A. Bove,
B. Franchi and
E. Obrecht (
1980) -
Boundary Value Problems for Operators like $\Delta + x \cdot \nabla$, «
Rend. Mat.», (7),
1 (to appear). |
MR 770814[7]
P. Grisvard (
1972) -
Interpolation non commutative, «
Atti Accad. Naz. Lincei, Rend. Cl. Sci. Fis. Mat. Nat.», (8),
52, 11—15. |
MR 623399[8]
T. Kato (
1961) -
A Generalization of the Heinz Inequality, «
Proc. Japan Acad.»,
13, 305-308. |
MR 358337 |
Zbl 0104.09304[9]
J.L. Lions (
1962) -
Espaces d'interpolation et domaines de puissances fractionnaires d'opérateurs, «
J. Math. Soc. Japan»,
14, 233-241. |
MR 145345[10]
H. Triebel (
1978) -
Interpolation Theory, Function Spaces, Differential Operators,
North Holland, Amsterdam. |
MR 152878
Con il contributo del Ministero per i Beni e le Attività Culturali