2 papers
math.AP2025
Improved existence time for the Whitham equation and a Whitham-Boussinesq system
Didier Pilod, Sigmund Selberg, Nadia Skoglund Taki +1
In this paper, we investigate the time of existence of the solutions to two full dispersion models derived from the water waves equations in the shallow water regime: the Whitham e…
math.AP2024
On the fractional Schödinger equation with variable coefficients
C. E. Kenig, D. Pilod, G. Ponce +1
We study the initial value problem (IVP) associated to the semi-linear fractional Schödinger equation with variable coefficients. We deduce several properties of the anisotropic f…