J. Nonl. Mod. Anal., 4 (2022), pp. 220-244.
Published online: 2022-06
[An open-access article; the PDF is free to any online user.]
Cited by
- BibTex
- RIS
- TXT
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.
}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2022.220}, url = {http://global-sci.org/intro/article_detail/jnma/20705.html} }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.