论文标题
具有强大电势的热方程
The heat equation with strongly singular potentials
论文作者
论文摘要
在本文中，我们考虑具有强烈奇异电位的热方程式，并证明其具有“非常弱的溶液”。此外，我们从某种意义上说明了独特性和一致性。研究了积极和负电位的病例。进行数值模拟：一个建议根据潜力的迹象，建议所谓的“激光加热和冷却”效果。后者是通过身体观察来证明的。
In this paper, we consider the heat equation with strongly singular potentials and prove that it has a "very weak solution". Moreover, we show the uniqueness and consistency results in some appropriate sense. The cases of positive and negative potentials are studied. Numerical simulations are done: one suggests so-called "laser heating and cooling" effects depending on a sign of the potential. The latter is justified by physical observations.
