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 $L^2$.
Citation
N. Tzvetkov. "Global low-regularity solutions for Kadomtsev-Petviashvili equation." Differential Integral Equations 13 (10-12) 1289 - 1320, 2000. https://doi.org/10.57262/die/1356061127
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