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- W2894084377 abstract "We prove the existence of the global attractor in $ dot H^s$, $s > 11/12$ for the weakly damped and forced mKdV on the one dimensional torus. The existence of global attractor below the energy space has not been known, though the global well-posedness below the energy space is established. We directly apply the I-method to the damped and forced mKdV, because the Miura transformation does not work for the mKdV with damping and forcing terms. We need to make a close investigation into the trilinear estimates involving resonant frequencies, which are different from the bilinear estimates corresponding to the KdV." @default.
- W2894084377 created "2018-10-05" @default.
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- W2894084377 date "2018-09-26" @default.
- W2894084377 modified "2023-09-27" @default.
- W2894084377 title "Global Attractor For Weakly Damped, Forced Mkdv Equation Below Energy Space" @default.
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