负位势Dirichlet分数Laplacian方程的heat equation：非负解的存在性和爆破
The heat equation for the Dirichlet fractional Laplacian with negative potentials: Existence and blow-up of nonnegative solutions
摘要：
我们建立的条件，确保非负解的存在性或爆破所产生的Dirichlet分数拉普拉斯算子扰动有界集上的负电位的热方程。通过实例对理论进行了阐述。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
