2 papers
math.AP2026
Stability of global self-similar solutions to the cubic wave equation and the wave maps equation
Akansha Sanwal, Birgit Schörkhuber, David Wallauch
We study the long-time stability of global self-similar solutions to two energy supercritical nonlinear wave equations, namely, the cubic nonlinear wave equation in dimensions…
math.AP2024
Improved well-posedness for quasilinear and sharp local well-posedness for semilinear KP-I equations
Shinya Kinoshita, Akansha Sanwal, Robert Schippa
We show new well-posedness results in anisotropic Sobolev spaces for dispersion-generalized KP-I equations with increased dispersion compared to the KP-I equation. We obtain the sh…