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Article Contents

# Asymptotic smoothing effect for weakly damped forced Korteweg-de Vries equations

• Weakly damped forced KdV equation provides a dissipative semigroup on $L_x^2$. We prove that this semigroup enjoys an asymptotic smoothing effect, i.e. that all solutions converge towards a set of smoother solutions, when time goes to infinity.
Mathematics Subject Classification: 35Q53, 58F12.

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