Estimations L p d’intégrales oscillantes

Jean-Luc Joly[1]; Guy Métivier[2]; Jeffrey Rauch[3]

  • [1] Université de Bordeaux I
  • [2] Université de Rennes I
  • [3] University of Michigan

Séminaire Équations aux dérivées partielles (1996-1997)

  • Volume: 1996-1997, page 1-14

How to cite

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Joly, Jean-Luc, Métivier, Guy, and Rauch, Jeffrey. "Estimations $L^p$ d’intégrales oscillantes." Séminaire Équations aux dérivées partielles 1996-1997 (1996-1997): 1-14. <http://eudml.org/doc/252264>.

@article{Joly1996-1997,
affiliation = {Université de Bordeaux I; Université de Rennes I; University of Michigan},
author = {Joly, Jean-Luc, Métivier, Guy, Rauch, Jeffrey},
journal = {Séminaire Équations aux dérivées partielles},
language = {fre},
pages = {1-14},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Estimations $L^p$ d’intégrales oscillantes},
url = {http://eudml.org/doc/252264},
volume = {1996-1997},
year = {1996-1997},
}

TY - JOUR
AU - Joly, Jean-Luc
AU - Métivier, Guy
AU - Rauch, Jeffrey
TI - Estimations $L^p$ d’intégrales oscillantes
JO - Séminaire Équations aux dérivées partielles
PY - 1996-1997
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 1996-1997
SP - 1
EP - 14
LA - fre
UR - http://eudml.org/doc/252264
ER -

References

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  1. M. Cowling, S. Disney, G. Mauceri and D. Müller, Damping oscilllatory integrals,, Invent. Math., 101, 1990, 237-260. Zbl0733.42011MR1062963
  2. J.J. Duistermaat, Oscillatory integrals, Lagrangian immersions and unfolding of singularities, Comm. Pure Appl. Math. 27,1974, 207-281. Zbl0285.35010MR405513
  3. J.J. Duistermaat and L. Hörmander, Fourier integral operators II, Acta. Math., 128, 1972, 183-269. Zbl0232.47055MR388464
  4. L. Hörmander, Fourier integral operators I, Acta. Math., 127, 1971, 79-183. Zbl0212.46601MR388463
  5. L. Hörmander, The Analysis of linear partial differential operators, Springer-Verlag, 1991. 
  6. J.-L. Joly, G. Metivier and J. Rauch, Focusing at a point and absorption of nonlinear oscillations, Trans. Amer. Math. Soc., 347, 10, 1995, 3921-3969. Zbl0857.35087MR1297533
  7. J.-L. Joly, G. Metivier and J. Rauch, Nonlinear oscillations beyond caustics, Comm. Pure Appl. Math., to appear. Zbl0862.35066MR1377560
  8. J.-L. Joly, G. Metivier and J. Rauch, L p estimates for oscillatory integrals and caustics for disipative semilinear equations, preprint. 
  9. D. Ludwig, Uniform asymptotic expansions at a caustic, Comm. Pure Appl. Math., 13, 1966, 85-114. Zbl0163.13703MR196254
  10. E. M. Stein, Harmonic analysis, real variable methods, orthogonality and oscillatory integrals, Princeton University Press, 1993. Zbl0821.42001MR1232192
  11. C. D. Sogge, Fourier integrals in classical analysis, Cambridge Tracts in Mathematics, 105, Cambridge University Press, 1993 Zbl0783.35001MR1205579

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