KP-II in 2 and 3d
New challenges in PDE: Deterministic dynamics and randomness in high and infinite dimensional systems October 19, 2015 - October 30, 2015
Location: MSRI: Simons Auditorium
KP equations
Kadomtsev-Petviashvili
Korteweg-de Vries equation
Strichartz estimates
global well-posedness
Existence of scattering solutions
76B03 - Existence, uniqueness, and regularity theory [See also 35Q35]
35Q53 - KdV-like equations (Korteweg-de Vries) [See also 37K10]
37K05 - Hamiltonian structures, symmetries, variational principles, conservation laws
14375
In the talk I will explain global wellposedness and scattering results for dispersive equations with quadratic nonlinearities. The Kadomtsev-Petviashvili II equation in 3d requires additional decompositions, related function spaces and refined bilinear estimates.
Koch_Notes
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14375
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14375.mp4
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