论文标题
剪切无绑带中热方程的渐近行为
The asymptotic behaviour of the heat equation in a sheared unbounded strip
论文作者
论文摘要
我们表明，剪切的几何变形可以提高与无限条带中与Dirichlet Laplacian相关的热半群的衰减率。证明是基于[2]中建立的剪切造成的耐寒性不平等，以及用于热方程式的自相似变量和加权Sobolev空间的方法。
We show that the geometric deformation of shearing yields an improved decay rate for the heat semigroup associated with the Dirichlet Laplacian in an unbounded strip. The proof is based on the Hardy inequality due to the shearing established in [2] and the method of self-similar variables and weighted Sobolev spaces for the heat equation.
