Perturbation and energy estimates
Lerner, Nicolas
Annales scientifiques de l'École Normale Supérieure, Tome 31 (1998), p. 843-886 / Harvested from Numdam
@article{ASENS_1998_4_31_6_843_0,
     author = {Lerner, Nicolas},
     title = {Perturbation and energy estimates},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     volume = {31},
     year = {1998},
     pages = {843-886},
     doi = {10.1016/s0012-9593(99)80005-6},
     mrnumber = {2000b:35289},
     zbl = {0927.35139},
     language = {en},
     url = {http://dml.mathdoc.fr/item/ASENS_1998_4_31_6_843_0}
}
Lerner, Nicolas. Perturbation and energy estimates. Annales scientifiques de l'École Normale Supérieure, Tome 31 (1998) pp. 843-886. doi : 10.1016/s0012-9593(99)80005-6. http://gdmltest.u-ga.fr/item/ASENS_1998_4_31_6_843_0/

[BF] R. Beals and C. Fefferman, On local solvability of linear partial differential equations, (Ann. of Math., Vol. 97, 1973, pp. 482-498). | MR 50 #5233 | Zbl 0256.35002

[BC] J. M. Bony and J. Y. Chemin, Espaces fonctionnels associés au calcul de Weyl-Hörmander, (Bull. SMF, Vol. 122, 1994, pp. 77-118). | Numdam | MR 95a:35152 | Zbl 0798.35172

[CF] A. Cordoba and C. Fefferman, Wave packets and Fourier integral operators, (Comm. PDE, Vol. 3(11), 1978, pp. 979-1005). | MR 80a:35117 | Zbl 0389.35046

[D1] N. Dencker, The solvability of nonsolvable operators, Saint Jean de Monts meeting, 1996. | Numdam | MR 97i:35201

[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. | Zbl 01098910

[H1] L. Hörmander, The analysis of linear partial differential operators, Springer-Verlag, 1985.

[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. | Zbl 0897.35082

[L1] N. Lerner, Sufficiency of condition (ψ) for local solvability in two dimensions, (Ann. of Math., Vol. 128, 1988, pp. 243-258). | MR 90a:35242 | Zbl 0682.35112

[L2] N. Lerner, An iff solvability condition for the oblique derivative problem, Séminaire EDP, Ecole Polytechnique, exposé 18, 1990-1991. | Numdam | Zbl 0737.35171

[L3] N. Lerner, Nonsolvability in L2 for a first order operator satisfying condition (ψ), (Ann. of Math., Vol. 139, 1994, pp. 363-393). | MR 95g:35222 | Zbl 0818.35152

[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. | MR 98a:35151 | Zbl 0865.35153

[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. | MR 99i:35187 | Zbl 0893.35144

[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. | MR 98d:35244

[L7] N. Lerner, Factorization and Solvability, Preprint, University of Rennes, 1997.

[Un] A. Unterberger, Quantification et analyse pseudo-différentielle, (An. Sc. ENS, Vol. 21, 1988, pp. 133-158). | Numdam | MR 89h:58187 | Zbl 0646.58025

[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). | MR 41 #9064a | Zbl 0191.39103