Perturbation and energy estimates

Nicolas Lerner

Annales scientifiques de l'École Normale Supérieure (1998)

  • Volume: 31, Issue: 6, page 843-886
  • ISSN: 0012-9593

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Lerner, Nicolas. "Perturbation and energy estimates." Annales scientifiques de l'École Normale Supérieure 31.6 (1998): 843-886. <http://eudml.org/doc/82480>.

@article{Lerner1998,
author = {Lerner, Nicolas},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {sufficiency of the condition of Nirenberg-Trèves; local solvability of the pseudodifferential operators of principal type},
language = {eng},
number = {6},
pages = {843-886},
publisher = {Elsevier},
title = {Perturbation and energy estimates},
url = {http://eudml.org/doc/82480},
volume = {31},
year = {1998},
}

TY - JOUR
AU - Lerner, Nicolas
TI - Perturbation and energy estimates
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1998
PB - Elsevier
VL - 31
IS - 6
SP - 843
EP - 886
LA - eng
KW - sufficiency of the condition of Nirenberg-Trèves; local solvability of the pseudodifferential operators of principal type
UR - http://eudml.org/doc/82480
ER -

References

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  2. [BC] J. M. BONY and J. Y. CHEMIN, Espaces fonctionnels associés au calcul de Weyl-Hörmander, (Bull. SMF, Vol. 122, 1994, pp. 77-118). Zbl0798.35172MR95a:35152
  3. [CF] A. CORDOBA and C. FEFFERMAN, Wave packets and Fourier integral operators, (Comm. PDE, Vol. 3(11), 1978, pp. 979-1005). Zbl0389.35046MR80a:35117
  4. [D1] N. DENCKER, The solvability of nonsolvable operators, Saint Jean de Monts meeting, 1996. MR97i:35201
  5. [D2] N. DENCKER, A class of solvable operators, to appear in "Geometrical optics and related topics", PNLDE series, volume 32, Birkhäuser, editors F. Colombini, N. Lerner, 1997. Zbl1101.35405
  6. [H1] L. HÖRMANDER, The analysis of linear partial differential operators, Springer-Verlag, 1985. 
  7. [H2] L. HÖRMANDER, On the solvability of pseudo-differential equations, Structure of solutions of differential equations, World Scientific, Singapore, New Jersey, London, Hongkong, 1996, editors M. Morimoto, T. Kawai, pp. 183-213. Zbl0897.35082
  8. [L1] N. LERNER, Sufficiency of condition (ψ) for local solvability in two dimensions, (Ann. of Math., Vol. 128, 1988, pp. 243-258). Zbl0682.35112MR90a:35242
  9. [L2] N. LERNER, An iff solvability condition for the oblique derivative problem, Séminaire EDP, Ecole Polytechnique, exposé 18, 1990-1991. Zbl0737.35171
  10. [L3] N. LERNER, Nonsolvability in L2 for a first order operator satisfying condition (ψ), (Ann. of Math., Vol. 139, 1994, pp. 363-393). Zbl0818.35152MR95g:35222
  11. [L4] N. LERNER, Coherent states and evolution equations, General theory of partial differential equations and microlocal analysis, editors Qi Min-you, L. Rodino, Pitman Research notes 349, Longman, 1995. Zbl0865.35153MR98a:35151
  12. [L5] N. LERNER, The Wick calculus of pseudo-differential and energy estimates, "New trends in microlocal analysis", editors J.-M. Bony, M. Morimoto, Springer-Verlag, 1997. Zbl0893.35144MR99i:35187
  13. [L6] N. LERNER, Energy methods via coherent states and advanced pseudo calculus, "Multidimensional complex analysis and partial differential equations", editors P. D. Cordaro, H. Jacobowitz, S. Gindikin, AMS, 1997. MR98d:35244
  14. [L7] N. LERNER, Factorization and Solvability, Preprint, University of Rennes, 1997. 
  15. [Un] A. UNTERBERGER, Quantification et analyse pseudo-différentielle, (An. Sc. ENS, Vol. 21, 1988, pp. 133-158). Zbl0646.58025MR89h:58187
  16. [NT] L. NIRENBERG and F. TREVES, On local solvability of linear partial differential equations, (Comm. Pure Appl. Math., Vol. 23, pp. 1-38 and 1970, pp. 459-509 ; Vol. 24, 1971, pp. 279-288). Zbl0191.39103MR41 #9064a

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