Back to Search
Start Over
Blow-up phenomena and persistence property for the modified b-family of equations.
- Source :
-
Journal of Differential Equations . Feb2017, Vol. 262 Issue 3, p1161-1191. 31p. - Publication Year :
- 2017
-
Abstract
- In this paper, we study the blow-up mechanism and persistence property of solutions to the modified b-family of equations. The dynamics of the blow-up quantity along the characteristics is established by the Riccati-type differential inequality with various parameters. The key feature of the method is to refine the analysis on the growth rate of the relative ratio between solution and its gradient by performing a vertical shift. Furthermore, the persistence results for the solution are established in weighted spaces. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 262
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 120225389
- Full Text :
- https://doi.org/10.1016/j.jde.2016.09.027