We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Some Properties of Solutions to the Novikov Equation with Weak Dissipation Terms.
- Authors
Shengrui Lin; Yiting Cai; Jiaxi Luo; Ziyu Xuan; Yicong Zhao
- 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.
- Subjects
NOVIKOV conjecture; MATHEMATICS; SOBOLEV spaces; ENERGY dissipation; RIEMANN hypothesis
- Publication
Journal of Nonlinear Modeling & Analysis, 2022, Vol 4, Issue 2, p220
- ISSN
2562-2854
- Publication type
Article
- DOI
10.12150/jnma.2022.220