On bilinear estimates for wave equations
Journées équations aux dérivées partielles (1999), article no. 20, 17 p.

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.

@article{JEDP_1999____A20_0,
author = {Klainerman, Sergi\u and Foschi, Damiano},
title = {On bilinear estimates for wave equations},
journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
eid = {20},
publisher = {Universit\'e de Nantes},
year = {1999},
zbl = {01810593},
language = {en},
url = {http://www.numdam.org/item/JEDP_1999____A20_0/}
}
Klainerman, Sergiù; Foschi, Damiano. On bilinear estimates for wave equations. Journées équations aux dérivées partielles (1999), article  no. 20, 17 p. http://www.numdam.org/item/JEDP_1999____A20_0/`

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