# On bilinear restriction type estimates and applications to nonlinear wave equations

Journées équations aux dérivées partielles (1998)

- page 1-1
- ISSN: 0752-0360

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topKlainerman, Sergiù. "On bilinear restriction type estimates and applications to nonlinear wave equations." Journées équations aux dérivées partielles (1998): 1-1. <http://eudml.org/doc/93364>.

@article{Klainerman1998,

abstract = {I will start with a short review of the classical restriction theorem for the sphere and Strichartz estimates for the wave equation. I then plan to give a detailed presentation of their recent generalizations in the form of “bilinear estimates”. In addition to the $L^2$ theory, which is now quite well developed, I plan to discuss a more general point of view concerning the $L^p$ theory. By investigating simple examples I will derive necessary conditions for such estimates to be true. I also plan to discuss the relevance of these estimates to nonlinear wave equations.},

author = {Klainerman, Sergiù},

journal = {Journées équations aux dérivées partielles},

keywords = {optimal well posedness; Yang-Mills equations in the Lorentz gauge; Wave-Maps equations; Strichartz-Pecher inequalities},

language = {eng},

pages = {1-1},

publisher = {Université de Nantes},

title = {On bilinear restriction type estimates and applications to nonlinear wave equations},

url = {http://eudml.org/doc/93364},

year = {1998},

}

TY - JOUR

AU - Klainerman, Sergiù

TI - On bilinear restriction type estimates and applications to nonlinear wave equations

JO - Journées équations aux dérivées partielles

PY - 1998

PB - Université de Nantes

SP - 1

EP - 1

AB - I will start with a short review of the classical restriction theorem for the sphere and Strichartz estimates for the wave equation. I then plan to give a detailed presentation of their recent generalizations in the form of “bilinear estimates”. In addition to the $L^2$ theory, which is now quite well developed, I plan to discuss a more general point of view concerning the $L^p$ theory. By investigating simple examples I will derive necessary conditions for such estimates to be true. I also plan to discuss the relevance of these estimates to nonlinear wave equations.

LA - eng

KW - optimal well posedness; Yang-Mills equations in the Lorentz gauge; Wave-Maps equations; Strichartz-Pecher inequalities

UR - http://eudml.org/doc/93364

ER -

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