A link between C ∞ and analytic solvability for P.D.E. with constant coefficients

Giuseppe Zampieri

Rendiconti del Seminario Matematico della Università di Padova (1980)

  • Volume: 63, page 145-150
  • ISSN: 0041-8994

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Zampieri, Giuseppe. "A link between $C^\infty $ and analytic solvability for P.D.E. with constant coefficients." Rendiconti del Seminario Matematico della Università di Padova 63 (1980): 145-150. <http://eudml.org/doc/107762>.

@article{Zampieri1980,
author = {Zampieri, Giuseppe},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {linear partial differential operator with constant coefficients; analytic solution; P-convex},
language = {eng},
pages = {145-150},
publisher = {Seminario Matematico of the University of Padua},
title = {A link between $C^\infty $ and analytic solvability for P.D.E. with constant coefficients},
url = {http://eudml.org/doc/107762},
volume = {63},
year = {1980},
}

TY - JOUR
AU - Zampieri, Giuseppe
TI - A link between $C^\infty $ and analytic solvability for P.D.E. with constant coefficients
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1980
PB - Seminario Matematico of the University of Padua
VL - 63
SP - 145
EP - 150
LA - eng
KW - linear partial differential operator with constant coefficients; analytic solution; P-convex
UR - http://eudml.org/doc/107762
ER -

References

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  1. [1] E. DeGIORGI - L. CATTABRIGA, Una dimostrazione diretta dell'esistenza di soluzioni analitiche nel piano reale di equazioni a derivate parziali a coefficienti costanti, Boll. U.M.I., 4 (1971), pp. 1015-1027. Zbl0224.35018MR382820
  2. [2] A. Grothendieck, Espaces vectoriels topologiques, publicação da Societade de Matematica de San Paulo, 2° ediçao, 1958. Zbl0316.46001MR77884
  3. [3] L. Hörmander, Linear partial differential operators, Springer-Verlag, 1963. Zbl0108.09301MR404822
  4. [4] L. Hörmander, On the existence of real analytic solutions of partial differential equations with constant coefficients, Inventiones math., 21 (1973), pp. 151-182. Zbl0282.35015MR336041
  5. [5] F. Mantovani - S. Spagnolo, Funzionali analitici reali e funzioni armoniche, Ann. Sc. Norm. Sup. Pisa, Cl. Sci. Mat. Fis. Natur., III Sez., 18 (1964), pp. 475-513. Zbl0134.11102MR174965
  6. [6] G. Zampieri, A sufficient condition for existence of real analytic solutions of P.D.E. with constant coefficients, in open sets of R2, Rend. Sem. Mat. Univ. Padova, 63 (1980). Zbl0499.35021
  7. [7] G. Zampieri, Un'estensione del teorema sulle suriezioni fra spazi di Fréchet. Qualche sua applicazione, Rend. Sem. Mat. Univ. Padova, 61 (1979). Zbl0456.35010MR569657

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