分数阶抛物方程整体解的径向对称性与单调性

Abstract

Abstract:

This paper mainly develops the radial symmetry and monotonicity of entire solutions for fractional parabolic equations. To obtain the symmetry and monotonicity of entire solutions, the narrow region principle and maximum principle for antisymmetric functions in [9] are needed. Furthermore, to circumvent the difficulty from nonlocality for the fractional Laplacian, a fractional parabolic version of the method of moving planes will be adopted.

Key words: Fractional parabolic equations, Entire solutions, Symmetry, Monotonicity, The method of moving planes

CLC Number:

O175

Tang Yanjuan. The Radial Symmetry and Monotonicity of Entire Solutions for Fractional Parabolic Equations[J].Acta mathematica scientia,Series A, 2023, 43(5): 1409-1416.

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References 24

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The Radial Symmetry and Monotonicity of Entire Solutions for Fractional Parabolic Equations

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