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