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Qualitative properties of solutions for dual parabolic equation involving uniformly elliptic nonlocal operator.
- Source :
-
Mathematical Methods in the Applied Sciences . Aug2024, Vol. 47 Issue 12, p9967-9986. 20p. - Publication Year :
- 2024
-
Abstract
- In this research, we study certain characteristics of the solution for an equation involving uniformly elliptic nonlocal operator by establishing various maximum principles in bounded and unbounded regions. Additionally, we don't need the conditions that the narrow region principle's bound assumption and decay in the unbounded domain. In order to get the monotonicity of the solution, we use several maximum principles and averaging effects to overcome the challenges that generated by the uniformly elliptic nonlocal operator and fractional‐order variable t$$ t $$. Of course, while investigating the qualitative characteristics of the equation, we also provide some estimates of auxiliary function. For the study of additional nonlocal operators, we believe the method of uniformly elliptic nonlocal operators will also be helpful. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MAXIMUM principles (Mathematics)
*ELLIPTIC operators
*EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 47
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 178354908
- Full Text :
- https://doi.org/10.1002/mma.10104