Article Contents
Article Contents

Smoothing effect of the generalized BBM equation for localized solutions moving to the right

• We prove $C^\infty$ smoothness and uniform exponential decay for $H^1$-localized solutions moving to the right of the generalized BBM equation. For that purpose we use a monotonicity property for solution which are not necessarily close to solitary waves.
Mathematics Subject Classification: 35B40, 35Q53.

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