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On bilinear estimates for wave equations. Addendum to: Journées “Équations aux dérivées partielles”, Nantes: Université de Nantes (1998). (English) Zbl 1011.35087
Journées “Équations aux dérivées partielles”, Saint-Jean-de-Monts, France, 31 mai au 4 juin 1999. Exposés Nos. I-XIX. Nantes: Université de Nantes. Exp. No. VII (1998), 17 p. (1999).
There are comments on the results contained in: D. Foschi and S. Klainerman [Ann. Sci. Ec. Norm. Supér., IV. Sér. 33, No. 2, 211–274 (2000; Zbl 0959.35107)]. One shortly reviews the Strichartz estimates for the wave equation, the restriction theorems for the sphere and afterwards one concentrates on bilinear estimates for the wave equation. Many examples support understanding the conditions under which estimates hold.
For the entire collection see [Zbl 0990.00047].
MSC:
35L05 Wave equation
35B45 A priori estimates in context of PDEs
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