On bilinear restriction type estimates and applications to nonlinear wave equations
Journées équations aux dérivées partielles (1998), article no. 7, 1 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.

Sergiù Klainerman. On bilinear restriction type estimates and applications to nonlinear wave equations. Journées équations aux dérivées partielles (1998), article  no. 7, 1 p.. doi: 10.5802/jedp.536
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     title = {On bilinear restriction type estimates and applications to nonlinear wave equations},
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