The existence of global strong and weak solutions for the Novikov equation
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Authors
Lai, Shaoyong
Li, Nan
Wu, Yong Hong
Date
2013Type
Journal Article
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The well-posedness of the global strong and weak solutions for the Novikov equation is investigated. Provided that initial value u0 ∈ Hs(s > 3/2) and satisfying a sign condition, the existence and uniqueness of global strong solutions for the equation are shown to be valid in Sobolev space. The estimates in Hq(R) space with 0≤q≤1/2, which are derived from the equation itself, are developed to prove the existence and uniqueness of the global weak solutions.
Citation
Lai, Shaoyong and Li, Nan and Wu, Yonghong. 2013. The existence of global strong and weak solutions for the Novikov equation. Journal of Mathematical Analysis and Applications. 399 (2): pp. 682-691.
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Journal of Mathematical Analysis and Applications
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