Joint BCAM-UPV/EHU Analysis and PDE seminar: Local well-posedness for the gKdV equation on the background of a bounded function
Date: Thu, Mar 24 2022
Hour: 17:00
Location: Online
Speakers: José Manuel Palacios
LOCATION: Online
Abstract
In this talk we will prove the LWP for the gKdV equation in Hs(ℝ), s>1/2, under general assumptions on the nonlinearity f(x), on the background of a bounded function Ψ(t,x), with Ψ(t,x) satisfying some suitable conditions. As a consequence of our estimates, we also obtain the unconditional uniqueness of the solution in Hs(ℝ). This result not only gives us a framework to solve the gKdV equation around a Kink, for example, but also around a periodic solution, that is, to consider localized non-periodic perturbations of a periodic solution.
Link to the session:
https://us06web.zoom.us/j/99649860282?pwd=SE0vemtYMFlwbFBNTXQyOTBONG0vZz09
More info at https://sites.google.com/view/apdebilbao/home
Organizers:
Université de Tours
Confirmed speakers:
José Manuel Palacios
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