# Space-time resonances

Pierre Germain^{[1]}

- [1] Courant Institute of Mathematical Sciences, New York University, New York, NY 10012-1185 USA

Journées Équations aux dérivées partielles (2010)

- page 1-10
- ISSN: 0752-0360

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topGermain, Pierre. "Space-time resonances." Journées Équations aux dérivées partielles (2010): 1-10. <http://eudml.org/doc/116389>.

@article{Germain2010,

abstract = {This article is a short exposition of the space-time resonances method. It was introduced by Masmoudi, Shatah, and the author, in order to understand global existence for nonlinear dispersive equations, set in the whole space, and with small data. The idea is to combine the classical concept of resonances, with the feature of dispersive equations: wave packets propagate at a group velocity which depends on their frequency localization. The analytical method which follows from this idea turns out to be a very general tool.},

affiliation = {Courant Institute of Mathematical Sciences, New York University, New York, NY 10012-1185 USA},

author = {Germain, Pierre},

journal = {Journées Équations aux dérivées partielles},

language = {eng},

month = {6},

pages = {1-10},

publisher = {Groupement de recherche 2434 du CNRS},

title = {Space-time resonances},

url = {http://eudml.org/doc/116389},

year = {2010},

}

TY - JOUR

AU - Germain, Pierre

TI - Space-time resonances

JO - Journées Équations aux dérivées partielles

DA - 2010/6//

PB - Groupement de recherche 2434 du CNRS

SP - 1

EP - 10

AB - This article is a short exposition of the space-time resonances method. It was introduced by Masmoudi, Shatah, and the author, in order to understand global existence for nonlinear dispersive equations, set in the whole space, and with small data. The idea is to combine the classical concept of resonances, with the feature of dispersive equations: wave packets propagate at a group velocity which depends on their frequency localization. The analytical method which follows from this idea turns out to be a very general tool.

LA - eng

UR - http://eudml.org/doc/116389

ER -

## References

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