Displaying similar documents to “Self-similar solutions and Besov spaces for semi-linear Schrödinger and wave equations”

On bilinear estimates for wave equations

Sergiù Klainerman, Damiano Foschi (1999)

Journées équations aux dérivées partielles

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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...

Bilinear estimates related to the KP equations

Nikolay Tzvetkov (2000)

Journées équations aux dérivées partielles

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We survey some recent results for the KP-II equation. We also give an idea for treating the “bad frequency interactions” of the bilinear estimates in the Fourier transform restriction spaces related to the KP-I equation.