The Local Strong and Weak Solutions for a Generalized Novikov Equation

Meng Wu and Yue Zhong

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

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.

Date: 2012
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https://doi.org/10.1155/2012/158126

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:158126

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