The Heat Equation for the Dirichlet Fractional Laplacian with Negative Potentials:Existence and Blow-up of Nonnegative Solutions

作     者：Ali BEN AMOR Tarek KENZIZI 

作者机构：Department of MathematicsFaculty of Sciences of GabèsUniversity GabèsGabès 6072Tunisia Department of MathematicsFaculty of Sciences of TunisUniversity Tunis EIManarTunis 1001Tunisia 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2017年第33卷第7期

页      面：981-995页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Fractional Laplacian heat equation Dirichlet form blow-up 

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.