Wave packets techniques

Nicolas Lerner[1]

  • [1] Irmar, Campus de Beaulieu, Université de Rennes 1, 35042 Rennes Cedex, FRANCE

Séminaire Équations aux dérivées partielles (1996-1997)

  • Volume: 1996-1997, page 1-15

How to cite

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Lerner, Nicolas. "Wave packets techniques." Séminaire Équations aux dérivées partielles 1996-1997 (1996-1997): 1-15. <http://eudml.org/doc/10933>.

@article{Lerner1996-1997,
affiliation = {Irmar, Campus de Beaulieu, Université de Rennes 1, 35042 Rennes Cedex, FRANCE},
author = {Lerner, Nicolas},
journal = {Séminaire Équations aux dérivées partielles},
keywords = {energy estimates; self-adjoint operator; Wick quantization; pseudodifferential operator},
language = {eng},
pages = {1-15},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Wave packets techniques},
url = {http://eudml.org/doc/10933},
volume = {1996-1997},
year = {1996-1997},
}

TY - JOUR
AU - Lerner, Nicolas
TI - Wave packets techniques
JO - Séminaire Équations aux dérivées partielles
PY - 1996-1997
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 1996-1997
SP - 1
EP - 15
LA - eng
KW - energy estimates; self-adjoint operator; Wick quantization; pseudodifferential operator
UR - http://eudml.org/doc/10933
ER -

References

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  2. F.A.Berezin, Quantization, Math. USSR, Izvest.8, 1109-1165, (1974). Zbl0312.53049
  3. A.Cordoba, C.Fefferman, Wave packets and Fourier integral operators,Comm. PDE, 3(11), 979-1005, (1978). Zbl0389.35046MR507783
  4. N.Dencker, The solvability of non-solvable operators, Saint Jean de Monts meeting, 1996. Zbl0885.35151
  5. N.DenckerA class of solvable operators, to appear in PNLDE series, Birkhäuser. Zbl1101.35405MR2033495
  6. C.Fefferman, D.H.Phong, On positivity of pseudo-differential operators, Proc.Nat.Ac.Sc., 4673-4674, (1978). Zbl0391.35062MR507931
  7. L.Hörmander, The analysis of linear partial differential operators, Springer-Verlag, (1985). Zbl0601.35001
  8. L.Hörmander On the solvability of pseudodifferential equations, pp183–213, Structure of solutions of differential equations, World Scientific Singapore, New Jersey, London, HongKong, editors M.Morimoto and T. Kawai, 1996. Zbl0897.35082MR1445340
  9. B.Lascar, Condition nécessaire et suffisante d’ellipticité en dimension infinie, Comm. PDE 2(1) 31-67, (1977). Zbl0377.58011
  10. N.Lerner, Sufficiency of condition ( ψ ) for local solvability in two dimensions, Ann. of Math.128, 243-258, (1988). Zbl0682.35112MR960946
  11. N.Lerner, An iff solvability condition for the oblique derivative problem, Séminaire EDP, Ecole Polytechnique, exposé 18, (1990-91). Zbl0737.35171MR1131591
  12. N.Lerner, Nonsolvability in L 2 for a first order operator satisfying condition ( ψ ) , Ann. of Math.139, 363-393, (1994). Zbl0818.35152MR1274095
  13. N.Lerner, Coherent states and evolution equations, General theory of partial differential equations and microlocal analysis, Qi Min-you, L.Rodino (editors) Pitman Research notes 349, Longman. Zbl0865.35153MR1429635
  14. N.Lerner, The Wick calculus of pseudo-differential and energy estimates, “New trends in microlocal analysis", J.-M. Bony, M.Morimoto (editors), Springer-Verlag 1997. Zbl0893.35144
  15. N.Lerner, Energy methods via coherent states and advanced pseudo-differential calculus, “Multidimensional complex analysis and partial differential equations", P.D.Cordaro, H.Jacobowitz, S.Gindikin (editors), AMS, 1997. Zbl0885.35152
  16. L.Nirenberg, F.Treves, On local solvability of linear partial differential equations, Comm. Pure Appl. Math. 23, 1-38 and 459-509, (1970); 24, 279-288, (1971). Zbl0208.35902
  17. A.Unterberger, Oscillateur harmonique et opérateurs pseudo-différentiels, Ann. Inst. Fourier 29 , 201-221, (1979). Zbl0396.47027MR552965

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