Besov-Morrey空间中分数阶半线性抛物方程解的存在性

IF 1.1 3区数学 Q1 MATHEMATICS

Discrete and Continuous Dynamical Systems Pub Date : 2023-01-11 DOI:10.3934/dcds.2023074

Erbol Zhanpeisov

引用次数: 2

摘要

在本文中，我们建立了分数阶半线性抛物型方程在Besov-Morrey空间中的存在性，这类方程的初始数据包含了Radon测度以外的分布。得到了粘性Hamilton-Jacobi方程解存在的充分条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Existence of solutions to fractional semilinear parabolic equations in Besov-Morrey spaces

In this paper, we establish the existence of solutions to fractional semilinear parabolic equations in Besov-Morrey spaces for a large class of initial data including distributions other than Radon measures. We also obtain sufficient conditions for the existence of solutions to viscous Hamilton-Jacobi equations.

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来源期刊

Discrete and Continuous Dynamical Systems 数学-数学

CiteScore

2.50

自引率

0.00%

发文量

175

审稿时长

6 months

期刊介绍： DCDS, series A includes peer-reviewed original papers and invited expository papers on the theory and methods of analysis, differential equations and dynamical systems. This journal is committed to recording important new results in its field and maintains the highest standards of innovation and quality. To be published in this journal, an original paper must be correct, new, nontrivial and of interest to a substantial number of readers.