Global low-regularity solutions for Kadomtsev-Petviashvili equation

N. Tzvetkov

Type: Article

Publication Date: 2000-01-01

Citations: 59

DOI: https://doi.org/10.57262/die/1356061127

Abstract

We study the initial value problem for the KP-II equation. We prove the existence of solutions to the integral equation corresponding to KP-II for any data in $L^2$, removing the additional condition imposed in [15]. Following a method recently developed by J. Bourgain we obtain global solutions to KP-II with data below $L^2$.

Locations

Differential and Integral Equations - View - PDF

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