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Symmetry of solutions for asymptotically symmetric nonlocal parabolic equations.
- Source :
-
Fractional Calculus & Applied Analysis . Apr2023, Vol. 26 Issue 2, p864-892. 29p. - Publication Year :
- 2023
-
Abstract
- In this paper, we consider the symmetry properties of positive solutions for nonlocal parabolic equations in the whole space. We obtain various asymptotic maximum principles for carrying out the asymptotic method of moving planes. With the help of these results, we show that if the equation converges to a symmetric one, then the solutions will converge to radially symmetric functions. The methods and techniques used here can be easily applied to study a variety of nonlocal parabolic equations with more general operators and nonlinear terms. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SYMMETRIC functions
*NONLINEAR operators
*EQUATIONS
*SYMMETRY
Subjects
Details
- Language :
- English
- ISSN :
- 13110454
- Volume :
- 26
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Fractional Calculus & Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 162800763
- Full Text :
- https://doi.org/10.1007/s13540-023-00140-9