Abstract
The Kato theorem for abstract differential equations is applied to establish the local well‐posedness of the strong solution for a nonlinear generalized Novikov equation in space C([0, T), Hs(R))∩C1([0, T), Hs−1(R)) with s > (3/2). The existence of weak solutions for the equation in lower‐order Sobolev space Hs(R) with 1 ≤ s ≤ (3/2) is acquired.
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