The existence of global strong and weak solutions for the Novikov equation
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 e...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Academic Press
2013
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/39165 |
| Summary: | 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. |
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