The solvability of non L 2 solvable operators

Nils Dencker

Journées équations aux dérivées partielles (1996)

  • Volume: 1996, page 1-11
  • ISSN: 0752-0360

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Dencker, Nils. "The solvability of non $L^2$ solvable operators." Journées équations aux dérivées partielles 1996 (1996): 1-11. <http://eudml.org/doc/93317>.

@article{Dencker1996,
author = {Dencker, Nils},
journal = {Journées équations aux dérivées partielles},
keywords = {conjecture of Nirenberg; first-order pseudodifferential operators of principal type; condition ; locally solvable},
language = {eng},
pages = {1-11},
publisher = {Ecole polytechnique},
title = {The solvability of non $L^2$ solvable operators},
url = {http://eudml.org/doc/93317},
volume = {1996},
year = {1996},
}

TY - JOUR
AU - Dencker, Nils
TI - The solvability of non $L^2$ solvable operators
JO - Journées équations aux dérivées partielles
PY - 1996
PB - Ecole polytechnique
VL - 1996
SP - 1
EP - 11
LA - eng
KW - conjecture of Nirenberg; first-order pseudodifferential operators of principal type; condition ; locally solvable
UR - http://eudml.org/doc/93317
ER -

References

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  1. 1. R. Beals and C. Fefferman, On local solvability of linear partial differential equations, Ann. of Math. 97, (1973), 482-498. Zbl0256.35002MR50 #5233
  2. 2. L. Hörmander, The analysis of linear partial differential operators, vol. I-IV, Springer Verlag, Berlin, Heidelberg, New York, Tokyo, 1983-1985. Zbl0601.35001
  3. 3. N. Lerner, Sufficiency of condition (Ѱ) for local solvability in two dimensions, Ann. of Math. 128 (1988), 243-258. Zbl0682.35112MR90a:35242
  4. 4. N. Lerner, Nonsolvability in L2 for a first order operator satisfying condition (Ѱ), Ann. of Math. 139 (1994), 363-393. Zbl0818.35152MR95g:35222
  5. 5. L. Nirenberg and F. Treves, On local solvability of linear partial differential equations. Part I : Necessary conditions, Comm. Pure Appl. Math. 23 (1970), 1-38 ; Part II : Sufficient conditions, Comm. Pure Appl. Math. 23 (1970), 459-509 ; Correction, Comm. Pure Appl. Math. 24 (1971), 279-288. Zbl0208.35902MR41 #9064a
  6. 6. J.-M. Trépreau, Sur la résolubilité analytique microlocale des opérateurs pseudodifférentiels de type principal, Thèse, Université de Reims, 1984. Zbl0489.35082

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