Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 75, Issue 4, Pages 2464-2473Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2011.10.044
Keywords
Weakly dissipative; Novikov equation; Global existence; Blow-up
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Funding
- Natural Science Foundation of China (NSFC) [11171116, 11101418]
- NSFC-NSAF [10976026]
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In this paper, we consider the global existence and blow-up for the weakly dissipative Novikov equation. We firstly establish the local well-posedness for the weakly dissipative Novikov equation by Kato's theorem. Then we present some blow-up results. Finally, we present the global existence of strong solutions to the weakly dissipative equation. (C) 2011 Elsevier Ltd. All rights reserved.
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