论文标题
退化抛物线方程电势的痕量公式
Trace formulae of potentials for degenerate parabolic equations
论文作者
论文摘要
在本文中，我们分析了体积和层势的主要特性以及多维退化抛物线方程的泊松积分。结果，我们获得了热量电位的痕量公式和泊松积分，这些公式解决了KAC在圆柱域中为退化抛物线方程的问题。
In this paper, we analyze main properties of the volume and layer potentials as well as the Poisson integral for a multi-dimensional degenerate parabolic equation. As consequences, we obtain trace formulae of the heat volume potential and the Poisson integral which solve Kac's problem for degenerate parabolic equations in cylindrical domains.
