On bilinear estimates for wave equations
Journées équations aux dérivées partielles (1999), article no. 20, 17 p.
complète On bilinear restriction type estimates and applications to nonlinear wave equations

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.

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Klainerman, Sergiù; Foschi, Damiano. On bilinear estimates for wave equations. Journées équations aux dérivées partielles (1999), article  no. 20, 17 p. http://archive.numdam.org/item/JEDP_1999____A20_0/

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