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- W2953282377 abstract "We show that the Benjamin-Ono equation is globally well-posed in $H^s(R)$ for $s geq 1$. This is despite the presence of the derivative in the non-linearity, which causes the solution map to not be uniformly continuous in $H^s$ for any $s$. The main new ingredient is to perform a global gauge transformation which almost entirely eliminates this derivative." @default.
- W2953282377 created "2019-06-27" @default.
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- W2953282377 date "2003-07-22" @default.
- W2953282377 modified "2023-09-27" @default.
- W2953282377 title "Global well-posedness of the Benjamin-Ono equation in H^1(R)" @default.
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