Regularizing estimates for Schrödinger and wave equations

Alberto Ruiz

Journées équations aux dérivées partielles (1993)

  • Volume: 1993, Issue: 5, page 1-12
  • ISSN: 0752-0360

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Ruiz, Alberto. "Regularizing estimates for Schrödinger and wave equations." Journées équations aux dérivées partielles 1993.5 (1993): 1-12. <http://eudml.org/doc/93274>.

@article{Ruiz1993,
author = {Ruiz, Alberto},
journal = {Journées équations aux dérivées partielles},
keywords = {initial value problems; Morrey-Campanato class; weighted estimates},
language = {eng},
number = {5},
pages = {1-12},
publisher = {Ecole polytechnique},
title = {Regularizing estimates for Schrödinger and wave equations},
url = {http://eudml.org/doc/93274},
volume = {1993},
year = {1993},
}

TY - JOUR
AU - Ruiz, Alberto
TI - Regularizing estimates for Schrödinger and wave equations
JO - Journées équations aux dérivées partielles
PY - 1993
PB - Ecole polytechnique
VL - 1993
IS - 5
SP - 1
EP - 12
LA - eng
KW - initial value problems; Morrey-Campanato class; weighted estimates
UR - http://eudml.org/doc/93274
ER -

References

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  3. [ChF] Chiarenza, Frasca, A remark on a paper by C. Fefferman. Proc AMS, 1990 Zbl0694.46029
  4. [CS1] Constantin P., Saut J.C., Local smoothing properties of dispersive equations. J. of the AMS, 1, 1988, 413-139. Zbl0667.35061MR89d:35150
  5. [CS2] Constantin P., Saut J.C., Local smoothing properties of Schrödinger equations. Indiana U. Math. J., 38, 3, 1989, 791-810. Zbl0712.35022MR91e:35167
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  7. [H] Harmse, J.On Lebesgue space estimates for the wave equation. Indiana University Math Journal 39.1 1990 Zbl0683.35008MR91j:35158
  8. [LP] Lions P.L., Perthame B., Lemmes de moments, de moyenne et de dispersion. C.R. Acad. Sci. Paris, t 314, Série, p. 801-806. 1992. Zbl0761.35085MR93f:35217
  9. [K] Kato T.On the Cauchy problem for the (generalized) KdV equation. Adv. in Math. Supplementary Studies, Studies in Applied Math., 8, 1983, 93-128. Zbl0549.34001MR86f:35160
  10. [KY] Kato T., Yajima K., Some examples of smooth operators and the associated smoothing effect. Review in Math. Physics, 1, 4, 1989. Zbl0833.47005MR91i:47013
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  15. [RV3] Smoothing effect for Schródinger and wave equations. In preparation 
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  17. [Sj] Sjölin P., Regularity of solutions to the Schrödinger equations. Duke Math. J., 55, 1987, 699-715. Zbl0631.42010
  18. [So] Soffer A., Phase space analysis of non linear waves and global existence. Preprint. 
  19. [T] Tomas P., A restriction theorem for the Fourier transform. Bull. AMS, 81, 1975, 477-478. Zbl0298.42011MR50 #10681
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