Global well-posedness of the KP-I initial-value problem in the energy space
arXiv:0705.4239 · doi:10.1007/s00222-008-0115-0
Abstract
We prove that the KP-I initial value problem is globally well-posed in the natural energy space of the equation.
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- Low regularity well-posedness of KP-I equations: the three-dimensional case
- Large time behavior and optimal decay estimate for solutions to the generalized Kadomtsev--Petviashvili--Burgers equation in 2D