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CPAA
A Camassa-Holm type equation containing nonlinear dissipative effect
is investigated. A sufficient condition which guarantees the
existence of weak solutions of the equation in lower order Sobolev
space $H^s$ with $1 \leq s \leq \frac{3}{2}$ is established by using
the techniques of the pseudoparabolic regularization and some prior
estimates derived from the equation itself.
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