Affiliation:
1. School of Mathematics and Statistics, Hainan University, Haikou 570228, China
Abstract
In this research, we focus on the symmetry of an ancient solution for a fractional parabolic equation involving logarithmic Laplacian in an entire space. In the process of studying the property of a fractional parabolic equation, we obtained some maximum principles, such as the maximum principle of anti-symmetric function, narrow region principle, and so on. We will demonstrate how to apply these tools to obtain radial symmetry of an ancient solution.
Funder
Hainan Provincial NSF of China
Subject
Statistics and Probability,Statistical and Nonlinear Physics,Analysis
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