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Séminaire Math-Phys : Global Existence, Blowup and Scattering for large data Supercritical and other wave equations

Mercredi 31 mai 16:15-17:15 - Avy (Avraham) Soffer - Rutgers University

Séminaire Math-Phys : Global Existence, Blowup and Scattering for large data Supercritical and other wave equations

Résumé : First, I will review the problem off Global existence for dispersive equations.
Then, I present a new approach to classify the asymptotic behavior of certain classes of wave equations, supercritical and others, with large initial data. In some cases, as for Nirenberg type equations, a fairly complete classification of the solutions (finite time blowup or global existence and scattering) is proved.
I will also present a new class of (quasi-normed) spaces that allow the extension of Global existence results for "large" data in the standard critical norms.

Lieu : Salle A318

Pour en savoir plus sur cet événement, consultez l'article Séminaires Math-Physique