Global rough solutions to the critical generalized KdV equation
classification
🧮 math.AP
keywords
criticalequationgeneralizedglobalgloballyinitiallineproblem
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We prove that the initial value problem (IVP) for the critical generalized KdV equation $u_{t}+u_{xxx}+(u^5)_{x}=0$ on the real line is globally well-posed in $H^{s}(\R)$ provided $s>3/5$.
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