论文标题
在半空间上具有动态边界条件和无界初始数据的热量方程的可溶性
Solvability of the heat equation on a half-space with a dynamical boundary condition and unbounded initial data
论文作者
论文摘要
我们研究具有线性动态边界条件的半空间上的线性热方程。我们对适当选择初始功能的功能空间感兴趣，以便该问题具有解决方案。在有限的初始数据保证可溶性之前已经知道。在这里，我们通过显示加权Lebesgue空间的数据也可以扩展结果。
We study the linear heat equation on a halfspace with a linear dynamical boundary condition. We are interested in an appropriate choice of the function space of initial functions such that the problem possesses a solution. It was known before that bounded initial data guarantee solvability. Here we extend that result by showing that data from a weighted Lebesgue space will also do so.
