|
Wave packet parametrices for evolutions governed by pdo's with rough symbols
Author(s):
Jeremy
Marzuola;
Jason
Metcalfe;
Daniel
Tataru
Journal:
Proc. Amer. Math. Soc.
136
(2008),
597-604.
MSC (2000):
Primary 35S10
Posted:
November 1, 2007
Retrieve article in:
PDF DVI PostScript
References |
Similar articles |
Additional information
References:
-
- 1.
- I. Bejenaru and D. Tataru, Large data local solutions for the derivative NLS equation, preprint, 2006.
- 2.
- H. Koch and D. Tataru, Dispersive estimates for principally normal pseudodifferential operators, Comm. Pure App. Math. 58 (2005), 217-284. MR 2094851 (2005m:35323)
- 3.
- C. Kenig, G. Ponce, L. Vega, The Cauchy problem for quasi-linear Schrödinger equations, Invent. Math. 158 (2004), 343-388. MR 2096797 (2005f:35283)
- 4.
- C. Kenig, G. Ponce, C. Rolvung, L. Vega, Variable coefficient Schrödinger flows for ultrahyperbolic operators, Adv. Math. 196 (2005), 373-486. MR 2166312 (2006c:35269)
- 5.
- S. Mizohata, Some remarks on the Cauchy problem, J. Math. Kyoto Univ. 1 (1961), 109-127. MR 0170112 (30:353)
- 6.
- S. Mizohata, Sur quelques equations du type Schrödinger, Journeés Equations aux dérivées partielles, Saint-Jean de Monts, 1981.
- 7.
- D. Tataru, Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients III, J. Amer. Math. Soc. 15, 2 (2002), 419-442. MR 1887639 (2003a:35120)
- 8.
- D. Tataru, Phase space transforms and microlocal analysis, Phase space analysis of partial differential equations. Vol. II. Publ. Cent. Ric. Mat. Ennio Giorgi, Scuola Norm. Sup. Pisa (2004), 505-524. MR 2208883
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical Society
with MSC
(2000):
35S10
Retrieve articles in all Journals with MSC
(2000):
35S10
Additional Information:
Jeremy
Marzuola
Affiliation:
Mathematics Department, University of California, Berkeley, California 94720-3840
Email:
marzuola@math.berkeley.edu
Jason
Metcalfe
Affiliation:
Mathematics Department, University of California, Berkeley, California 94720-3840
Email:
metcalfe@math.berkeley.edu
Daniel
Tataru
Affiliation:
Mathematics Department, University of California, Berkeley, California 94720-3840
Email:
tataru@math.berkeley.edu
DOI:
10.1090/S0002-9939-07-09027-2
PII:
S 0002-9939(07)09027-2
Received by editor(s):
November 8, 2006
Posted:
November 1, 2007
Additional Notes:
The work of the second author was supported in part by an NSF postdoctoral fellowship.
The work of the first and third authors was supported by NSF grants DMS0354539 and DMS0301122.
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
|
Comments: webmaster@ams.org