The heat equation for the Dirichlet fractional Laplacian with negative potentials: Existence and blow-up of nonnegative solutions

被引：0

作者：

Ali Ben Amor

Tarek Kenzizi

机构：

[1] University Gabès,Department of Mathematics, Faculty of Sciences of Gabès

[2] University Tunis ElManar,Department of Mathematics, Faculty of Sciences of Tunis

来源：

Acta Mathematica Sinica, English Series | 2017年 / 33卷

关键词：

Fractional Laplacian; heat equation; Dirichlet form; blow-up; 35K05; 35B09; 35S11;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We establish conditions ensuring either existence or blow-up of nonnegative solutions for the heat equation generated by the Dirichlet fractional Laplacian perturbed by negative potentials on bounded sets. The elaborated theory is supplied by some examples.

引用

页码：981 / 995

页数：14

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