Year: 2022
Author: Shengrui Lin, Yiting Cai, Jiaxi Luo, Ziyu Xuan, Yicong Zhao
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 2 : pp. 220–244
Abstract
In this paper, we investigate the Novikov equation with weak dissipation terms. First, we give the local well-posedness and the blow-up scenario. Then, we discuss the global existence of the solutions under certain conditions. After that, on condition that the compactly supported initial data keeps its sign, we prove the infinite propagation speed of our solutions, and establish the large time behavior. Finally, we also elaborate the persistence property of our solutions in weighted Sobolev space.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2022.220
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 2 : pp. 220–244
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: Blow-up scenario Global existence Large time behavior Persistence property.