The heat equation with strongly singular potentials

作者：

Highlights：

• The heat equation with a singular potential.

• Laser heating and cooling effects caused by distributional coefficients of the heat transfer processes.

• Weakened solutions via regularised mollifiers.

摘要

•The heat equation with a singular potential.•Laser heating and cooling effects caused by distributional coefficients of the heat transfer processes.•Weakened solutions via regularised mollifiers.

论文关键词：Heat equation,Singular potential,Generalised solution,Regularisation,Mollifier,Numerical analysis,Distributional coefficient,Delta function

论文评审过程：Received 7 June 2020, Revised 29 December 2020, Accepted 14 January 2021, Available online 2 February 2021, Version of Record 2 February 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126006