@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}, pages = {843--886}, publisher = {Elsevier}, volume = {Ser. 4, 31}, number = {6}, year = {1998}, doi = {10.1016/s0012-9593(99)80005-6}, mrnumber = {2000b:35289}, zbl = {0927.35139}, language = {en}, url = {http://www.numdam.org/articles/10.1016/s0012-9593(99)80005-6/} }
TY - JOUR AU - Lerner, Nicolas TI - Perturbation and energy estimates JO - Annales scientifiques de l'École Normale Supérieure PY - 1998 SP - 843 EP - 886 VL - 31 IS - 6 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/s0012-9593(99)80005-6/ DO - 10.1016/s0012-9593(99)80005-6 LA - en ID - ASENS_1998_4_31_6_843_0 ER -
%0 Journal Article %A Lerner, Nicolas %T Perturbation and energy estimates %J Annales scientifiques de l'École Normale Supérieure %D 1998 %P 843-886 %V 31 %N 6 %I Elsevier %U http://www.numdam.org/articles/10.1016/s0012-9593(99)80005-6/ %R 10.1016/s0012-9593(99)80005-6 %G en %F ASENS_1998_4_31_6_843_0
Lerner, Nicolas. Perturbation and energy estimates. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 31 (1998) no. 6, pp. 843-886. doi : 10.1016/s0012-9593(99)80005-6. http://www.numdam.org/articles/10.1016/s0012-9593(99)80005-6/
[BF] On local solvability of linear partial differential equations, (Ann. of Math., Vol. 97, 1973, pp. 482-498). | MR | Zbl
and ,[BC] Espaces fonctionnels associés au calcul de Weyl-Hörmander, (Bull. SMF, Vol. 122, 1994, pp. 77-118). | Numdam | MR | Zbl
and ,[CF] Wave packets and Fourier integral operators, (Comm. PDE, Vol. 3(11), 1978, pp. 979-1005). | MR | Zbl
and ,[D1] The solvability of nonsolvable operators, Saint Jean de Monts meeting, 1996. | Numdam | MR
,[D2] 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
,[H1] The analysis of linear partial differential operators, Springer-Verlag, 1985.
,[H2] 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
,[L1] Sufficiency of condition (ψ) for local solvability in two dimensions, (Ann. of Math., Vol. 128, 1988, pp. 243-258). | MR | Zbl
,[L2] An iff solvability condition for the oblique derivative problem, Séminaire EDP, Ecole Polytechnique, exposé 18, 1990-1991. | Numdam | Zbl
,[L3] Nonsolvability in L2 for a first order operator satisfying condition (ψ), (Ann. of Math., Vol. 139, 1994, pp. 363-393). | MR | Zbl
,[L4] 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 | Zbl
,[L5] The Wick calculus of pseudo-differential and energy estimates, "New trends in microlocal analysis", editors J.-M. Bony, M. Morimoto, Springer-Verlag, 1997. | MR | Zbl
,[L6] 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
,[L7] Factorization and Solvability, Preprint, University of Rennes, 1997.
,[Un] Quantification et analyse pseudo-différentielle, (An. Sc. ENS, Vol. 21, 1988, pp. 133-158). | Numdam | MR | Zbl
,[NT] 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 | Zbl
and ,Cité par Sources :