On the envelope of regularity for solutions of homogeneous systems of linear partial differential operators

Aldo Andreotti; Mauro Nacinovich

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1979)

  • Volume: 6, Issue: 1, page 69-141
  • ISSN: 0391-173X

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Andreotti, Aldo, and Nacinovich, Mauro. "On the envelope of regularity for solutions of homogeneous systems of linear partial differential operators." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 6.1 (1979): 69-141. <http://eudml.org/doc/83808>.

@article{Andreotti1979,
author = {Andreotti, Aldo, Nacinovich, Mauro},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Levi's Condition; Linear Partial Differential Operators; Envelope Of Regularity; Logarithmic Distance; Overdetermined Systems with Constant Coefficients; Solutions of Homogeneous Systems; Domain of Regularity},
language = {eng},
number = {1},
pages = {69-141},
publisher = {Scuola normale superiore},
title = {On the envelope of regularity for solutions of homogeneous systems of linear partial differential operators},
url = {http://eudml.org/doc/83808},
volume = {6},
year = {1979},
}

TY - JOUR
AU - Andreotti, Aldo
AU - Nacinovich, Mauro
TI - On the envelope of regularity for solutions of homogeneous systems of linear partial differential operators
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1979
PB - Scuola normale superiore
VL - 6
IS - 1
SP - 69
EP - 141
LA - eng
KW - Levi's Condition; Linear Partial Differential Operators; Envelope Of Regularity; Logarithmic Distance; Overdetermined Systems with Constant Coefficients; Solutions of Homogeneous Systems; Domain of Regularity
UR - http://eudml.org/doc/83808
ER -

References

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  1. [1] A. Andreotti - M. Nacinovich, Complexes of partial differential operators, Ann. Scuola Norm. Sup. Pisa, 3 (1976), pp. 553-621. Zbl0334.58015MR445557
  2. [2] A. Andreotti - M. Nacinovich, Analytic convexity (Some comments on an example of de Giorgi and Piccinini), Complex analysis and its applications, vol. II, Vienna (1976), pp. 25-37. Zbl0339.35016MR499714
  3. [3] N. Aronszajn, A unique continuation theorem for solution of elliptic partial differential equations or inequalities of second order, J. Math. Pures Appl., 36 (1957), pp. 235-249. Zbl0084.30402MR92067
  4. [4] T. Bonnesen - W. Fenchel, Theorie der Konvexen Körper, Springer, Berlin, 1934. Zbl0277.52001MR344997
  5. [5] H. Cartan - P. Thullen, Zur Theorie der Singularitaten der Funktionen mehrerer Veränderlichen: Regularitäts und Konvergenzbereiche, Math. Ann., 106 (1932), pp. 617-647. Zbl0004.35704MR1512777JFM58.0347.02
  6. [6] W. Gröbner, Moderne Algebraische Geometrie die Idealtheoretischen Grundlagen, Springer, Berlin, 1949. Zbl0033.12706MR34049
  7. [7] L. Hörmander, Linear partial differential operators, Springer, Berlin, 1963. Zbl0108.09301MR404822
  8. [8] L. Hörmander, An introduction to complex analysis in several variables, Van Nostrand, Princeton, 1966. Zbl0138.06203MR203075
  9. [9] I.G. Petrowski, Sur l'analicité des solutions des systèmes d'equations différentielles, Mat. Sb. 5, 47 (1939), pp. 3-70. 

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