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• W2897431321 abstract "We prove the unconditional uniqueness of solutions to the derivative nonlinear Schrodinger equation (DNLS) in an almost end-point regularity. To this purpose, we employ the normal form method and we transform (a gauge-equivalent) DNLS into a new equation (the so-called normal form equation) for which nonlinear estimates can be easily established in $H^s(mathbb{R})$, $s>frac12$, without appealing to an auxiliary function space. Also, we prove that low-regularity solutions of DNLS satisfy the normal form equation and this is done by means of estimates in the $H^{s-1}(mathbb{R})$-norm." @default.
• W2897431321 created "2018-10-26" @default.
• W2897431321 creator A5066941721 @default.
• W2897431321 creator A5081347057 @default.
• W2897431321 date "2018-10-23" @default.
• W2897431321 modified "2023-09-27" @default.
• W2897431321 title "Unconditional uniqueness for the derivative nonlinear Schrodinger equation on the real line" @default.
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