6 citations · 17 across the 6 of their papers we have counts for
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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…
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…
Low regularity well-posedness of KP-I equations: the three-dimensional case
Sebastian Herr, Akansha Sanwal, Robert Schippa
In this paper, low regularity local well-posedness results for the Kadomtsev--Petviashvili--I equation posed in spatial dimension are proved. Periodic, non-periodic and mixe…
Decoupling inequality for paraboloid under shell type restriction and its application to the periodic Zakharov system
Shinya Kinoshita, Shohei Nakamura, Akansha Sanwal
In this paper, we establish local well-posedness for the Zakharov system on , in a low regularity setting. Our result improves the work of Kishimoto. Moreover…
Low regularity well-posedness for KP-I equations: the dispersion-generalized case
Akansha Sanwal, Robert Schippa
We prove new well-posedness results for dispersion-generalized Kadomtsev--Petviashvili I equations in , which family links the classical KP-I equation with the fifth…
Local Well-Posedness for the Zakharov System in Dimension
Akansha Sanwal
The Zakharov system in dimension is shown to be locally well-posed in Sobolev spaces , extending the previously known result. We construct new soluti…