Improved well-posedness for dispersion-generalized KP-I equations in the quasilinear regime

We show improved well-posedness results for dispersion-generalized KP-I equations in the quasilinear regime. The results rely on linear and bilinear Strichartz estimates, nonlinear Loomis–Whitney inequalities and short-time Fourier restriction.

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Publication Details

Journal
Discrete and Continuous Dynamical Systems
Published
2025-01-01
DOI
https://doi.org/10.3934/dcds.2025034
Primary Topic
Advanced Mathematical Physics Problems
Type
article
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article

Improved well-posedness for dispersion-generalized KP-I equations in the quasilinear regime

Akansha Sanwal, Robert Schippa, Shinya Kinoshita
Discrete and Continuous Dynamical Systems
Advanced Mathematical Physics Problems
article

Improved well-posedness for dispersion-generalized KP-I equations in the quasilinear regime

Akansha Sanwal, Robert Schippa, Shinya Kinoshita
article en

Abstract

We show improved well-posedness results for dispersion-generalized KP-I equations in the quasilinear regime. The results rely on linear and bilinear Strichartz estimates, nonlinear Loomis–Whitney inequalities and short-time Fourier restriction.

Discrete and Continuous Dynamical SystemsVol. 45(10)
Universität Innsbruck (AT), University of California, Berkeley (US)
Climate action
Openalex Percentile: Top 91%
Advanced Mathematical Physics Problems
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