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math.AP2012
Resonant phase-shift and global smoothing of the periodic Korteweg-de Vries in low regularity settings
Seungly Oh
We show a smoothing effect of near full derivative for low-regularity global-in-time solutions of the periodic Korteweg-de Vries (KdV) equation. The smoothing is given by slightly…
math.AP2012
Improved local well-posedness for the periodic "good" Boussinesq equation
Seungly Oh, Atanas Stefanov
We prove that the "good" Boussinesq model with the periodic boundary condition is locally well-posed in the space for . In the proof, we employ the…