On the local and global well-posedness theory for the KP-I equation

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Bi-parameter paraproducts (2003, background): “But sometimes (see [10]) in non-linear partial differential equations one faces the situation when a partial differential operator such as”
On Function Spaces with Mixed Norms — A Survey (2019, background): “More precisely, since the function spaces with mixed norms have finer structures than the corresponding classical function spaces, they naturally arise in the studies on the solutions of partial differential equations used to model physical processes involving in both space and time variables, such ”
Well-Posedness for the ZK Equation in a Cylinder and on the Background of a KdV Soliton (2010, methodology): “[8] Kenig, C.E., Ponce, G., Vega, L. (1993).”
The Cauchy problem for the 3D Zakharov-Kuznetsov equation (2009, methodology): “The estimate (67) was proved by Muscalu, Pipher, Tao and Thiele in [17], see also [10].”
Global well-posedness of the KP-I initial-value problem in the energy space (2007, background): “On the positive side, it is known that the KP-I initial value problem is globally well-posed in the “second” energy spaces on both R(2) (see [11], and also [15] and [16]) and T(2) (see [7]), as well as locally well-posed in larger spaces.”