A study on the stability of a modified Degasperis–Procesi equation
A modified Degasperis–Procesi equation is investigated. The local existence and uniqueness of the strong solution for the equation are established in the Sobolev space $ H^{s}(R) $ with $ s>\frac{3}{2} $. The $ L^{1}(R) $ local stability for the strong solution is obtained under certain assumptio...
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Format: | Article |
Language: | English |
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Taylor & Francis Group
2016-12-01
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Series: | Cogent Mathematics |
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Online Access: | http://dx.doi.org/10.1080/23311835.2016.1251875 |