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

@incollection{JEDP_1998____A7_0,
     author = {Sergi\`u Klainerman},
     title = {On bilinear restriction type estimates and applications to nonlinear wave equations},
     booktitle = {},
     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {7},
     pages = {1--1},
     publisher = {Universit\'e de Nantes},
     year = {1998},
     language = {en},
     url = {https://proceedings.centre-mersenne.org/item/JEDP_1998____A7_0/}
}
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Sergiù Klainerman. On bilinear restriction type estimates and applications to nonlinear wave equations. Journées équations aux dérivées partielles (1998), article  no. 7, 1 p. https://proceedings.centre-mersenne.org/item/JEDP_1998____A7_0/