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

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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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     author = {Klainerman, Sergi\`u and Foschi, Damiano},
     title = {On bilinear estimates for wave equations},
     booktitle = {},
     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {20},
     pages = {1--17},
     publisher = {Universit\'e de Nantes},
     year = {1999},
     doi = {10.5802/jedp.564},
     zbl = {01810593},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5802/jedp.564/}
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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.. doi: 10.5802/jedp.564

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