Duality in the spaces of solutions of elliptic systems

Mauro Nacinovich; Alexandre Shlapunov; Nikolai Tarkhanov

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1998)

  • Volume: 26, Issue: 2, page 207-232
  • ISSN: 0391-173X

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Nacinovich, Mauro, Shlapunov, Alexandre, and Tarkhanov, Nikolai. "Duality in the spaces of solutions of elliptic systems." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 26.2 (1998): 207-232. <http://eudml.org/doc/84326>.

@article{Nacinovich1998,
author = {Nacinovich, Mauro, Shlapunov, Alexandre, Tarkhanov, Nikolai},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {overdetermined elliptic systems; dual of the space of solutions},
language = {eng},
number = {2},
pages = {207-232},
publisher = {Scuola normale superiore},
title = {Duality in the spaces of solutions of elliptic systems},
url = {http://eudml.org/doc/84326},
volume = {26},
year = {1998},
}

TY - JOUR
AU - Nacinovich, Mauro
AU - Shlapunov, Alexandre
AU - Tarkhanov, Nikolai
TI - Duality in the spaces of solutions of elliptic systems
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1998
PB - Scuola normale superiore
VL - 26
IS - 2
SP - 207
EP - 232
LA - eng
KW - overdetermined elliptic systems; dual of the space of solutions
UR - http://eudml.org/doc/84326
ER -

References

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  2. [2] P. Blanchet, Théorèmes de Fusion et de Dualité pour les Solutions d'Équations Elliptiques, Thése, Université de Montréal, Montréal, 1988. 
  3. [3] A. Grothendieck, Sue les espaces de solutions d'une classe generale d'equations aux derivees partielles, J. Anal. Math.2 (1952-1953), 243-280. Zbl0051.08801MR65811
  4. [4] V.P. Havin, Spaces of Analytic Functions, in: Mathematical analysis, VINITI, Moscow, 1966, 76-164. MR206694
  5. [5] L. Hörmander, An Introduction to Complex Analysis in Several Complex Variables, Van Nostrand, Princeton, NJ, 1966. Zbl0138.06203MR203075
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  7. [7] F. Mantovani - S. Spagnolo, Funzionali analitici e funzioni armoniche, Ann. Scuola Norm. Sup. Pisa Cl. Sci.18 (1964), 475-512. Zbl0134.11102MR174965
  8. [8] M. Morimoto, An Introduction to Sato's Hyperfunctions, AMS, Providence, Rhode Island, 1993. Zbl0811.46034
  9. [9] C.B. Morrey - L. Nirenberg, On the analyticity of the solutions oflinear ellipctic systems of partial differential equations, Comm. Pure Appl. Math.10 (1957), 271-290. Zbl0082.09402MR89334
  10. [10] M. Nacinovich - A.A. Shlapunov, On iterations of the green integrals an their applications to elliptic differential complexes, Math. Nachr.180 (1996), 243-284. Zbl0871.35066MR1397675
  11. [11] Ya A. Roitberg, Elliptic Boundary value Problems in Generalized Functions, Kluwer Academic Publishers, Dordrecht NL, 1995 (To appear). Zbl0862.35002
  12. [12] A.A. Shlapunov - N.N. Tarkhanov, Bases with double orthogonality in the Cauchy problem for systems with injective symbols, Proc. London Math. Soc.71 (1995), 1-52. Zbl0828.35040MR1327932
  13. [13] E.L. Stout, Harmonic Duality, Hyperfunctions and Removable Singularities, Preprint, Univ. of Washington, Seattle, 1995, p. 41. Zbl0876.32003MR1481618
  14. [14] N.N. Tarkhanov, Laurent Series for Solutions of Elliptic Systems, Nauka, Novosibirsk, 1991, p. 317 (Russian). Zbl0743.35021MR1226897
  15. [15] N.N. Tarkhanov, The Cauchy Problem for Solutions of Elliptic Equations, Akademie-Verlag, Berlin, 1995. Zbl0831.35001MR1334094
  16. [16] N.N. Tarkhanov, Complexes of Differential Operators, Kluwer Academic Publishers, Dordrecht, NL, 1995. Zbl0852.58076MR1368856

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