On some conjectures by E. De Giorgi relative to the global resolvability of overdetermined systems of differential equations

Giuseppe Zampieri

Rendiconti del Seminario Matematico della Università di Padova (1980)

  • Volume: 62, page 115-128
  • ISSN: 0041-8994

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Zampieri, Giuseppe. "On some conjectures by E. De Giorgi relative to the global resolvability of overdetermined systems of differential equations." Rendiconti del Seminario Matematico della Università di Padova 62 (1980): 115-128. <http://eudml.org/doc/107738>.

@article{Zampieri1980,
author = {Zampieri, Giuseppe},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {global resolvability; overdetermined systems; semiglobal resolvability; resolving map; closed graph theorems},
language = {eng},
pages = {115-128},
publisher = {Seminario Matematico of the University of Padua},
title = {On some conjectures by E. De Giorgi relative to the global resolvability of overdetermined systems of differential equations},
url = {http://eudml.org/doc/107738},
volume = {62},
year = {1980},
}

TY - JOUR
AU - Zampieri, Giuseppe
TI - On some conjectures by E. De Giorgi relative to the global resolvability of overdetermined systems of differential equations
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1980
PB - Seminario Matematico of the University of Padua
VL - 62
SP - 115
EP - 128
LA - eng
KW - global resolvability; overdetermined systems; semiglobal resolvability; resolving map; closed graph theorems
UR - http://eudml.org/doc/107738
ER -

References

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  1. [1] G. Bratti, Un'applicazione del teorema del grafico chiuso alla risolubilità di sistemi del tipo (Pu = f, Qu = 0), Rend. Sem. Mat. Univ. Padova, Vol. 61 (1979). Zbl0432.35030
  2. [2] E. De Giorgi, Sulle soluzioni globali di alcuni sistemi di equazioni differenziali, Boll. Un. Mat. Ital. (4), 11 (1975), pp. 77-79. Zbl0319.35016MR399630
  3. [3] E. DeGIORGI - L. CATTABRIGA, Una dimostrazione diretta dell'esistenza di soluzioni analitiche nel piano reale di equazioni a derivate parziali a coefficienti costanti, Boll. Un. Mat. Ital. (4), 4 (1971), pp. 1015-1027. Zbl0224.35018MR382820
  4. [4] L. Hörmander, An Introduction to Complex Analysis in Several Variables, D. Van Nostrand Company, Princeton, New Jersey, 1966. Zbl0138.06203MR203075
  5. [5] A. Kaneko, Prolongement des solutions analytiques réelles d'équations aux dérivées partielles à coefficients constants, Séminaire Goulaouic-Schwartz (1976/77). Zbl0359.35011
  6. [6] B. Malgrange, Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution, Ann. Inst. Fourier (Grénoble), 6 (1955/56), pp. 271-355. Zbl0071.09002MR86990
  7. [7] F. Mantovani - S. Spagnolo, Funzionali analitici reali e funzioni armoniche, Ann. Sc. Norm. Sup. Pisa, Cl. Sci. Mat. Fis. Natur., Sez. III, 18 (1964), pp. 475-513. Zbl0134.11102MR174965
  8. [8] L. Modica, A Runge theorem for overdetermined systems with constant coefficients, typescript. Zbl0436.35062
  9. [9] M. Nacinovich, Un'osservazione su una congettura di De Giorgi, Boll. Un. Mat. Ital. (4), 12 (1975), pp. 9-14. Zbl0315.35020MR399637
  10. [10] V.P. Palamodov, Linear Differential Operators with Constant Coefficients, Springer-Verlag, Berlin-Heidelberg-New York, 1970. Zbl0191.43401MR264197
  11. [11] G. Zampieri, Un'estensione del teorema sulle suriezioni fra spazi di Fréchet. Qualche sua appplicazione, Rend. Sem. Mat. Univ. Padova, Vol. 61 (1979). Zbl0456.35010
  12. [12] G. Zampieri, Sistemi del tipo (Pu = f, Qu = g) non globalmente risolubili, Rend. Sem. Mat. Univ. Padova, Vol. 61 (1979). Zbl0437.35013

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