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math.AP2022★ 5 cited
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…
math.AP2022
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…
math.AP2022★ 6 cited
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…