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- W2981365094 abstract "The aim of this paper is to investigate the Cauchy problem for the periodic fifth order KP-I equation $$ { partial_t} u - { partial_x}^5 u -{ partial_x}^{-1} { partial_y}^2u + u{ partial_x} u = 0, ~(t,x,y)inmathbb Rtimesmathbb T^2 . $$ We prove global well-posedness for constant $x$ mean value initial data in the space $mathbf E = {uin L^2,~{ partial_x}^2 u in L^2, ~{ partial_x}^{-1} { partial_y} u in L^2}$ which is the natural energy space associated with this equation." @default.
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- W2981365094 date "2019-11-01" @default.
- W2981365094 modified "2023-09-25" @default.
- W2981365094 title "On the Cauchy problem for the periodic fifth-order KP-I equation" @default.
- W2981365094 doi "https://doi.org/10.57262/die/1571731515" @default.
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