Abstract
The pseudo-parabolic regularization technique is applied to establish the well-posedness of local solutions for a generalized Novikov equation in the Sobolev space $$H^s(R)$$ with $$s>\frac{3}{2}$$ . The existence of local weak solutions for the equation in the lower order Sobolev space $$H^s$$ with $$1\le s\le \frac{3}{2}$$ is also investigated.
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