Back to Search
Start Over
Monotonicity and one-dimensional symmetry of solutions for the weighted fractional parabolic equations on the whole space.
- Source :
-
International Journal of Mathematics . Apr2024, Vol. 35 Issue 5, p1-25. 25p. - Publication Year :
- 2024
-
Abstract
- In this paper, we investigate the monotonicity and one-dimensional symmetry of solutions for parabolic equations related to the weighted fractional Laplacian on the whole space. We first establish a generalized weighted average inequality and the maximum principle in unbounded domains, and then carry out the sliding method to obtain monotonicity and one-dimensional symmetry of solutions. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SYMMETRY
*EQUATIONS
*MAXIMUM principles (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 0129167X
- Volume :
- 35
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- International Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 177091128
- Full Text :
- https://doi.org/10.1142/S0129167X24500101