论文标题
具有动态边界条件的热量方程是在边界上退化问题的单数极限
The heat equation with the dynamic boundary condition as a singular limit of problems degenerating at the boundary
论文作者
论文摘要
我们将热方程的动态边界条件得出，作为边界层问题的限制。我们研究了它们弱和强溶液的收敛，因为层的宽度趋于零。我们还讨论了生成这些流量的功能的$γ$ - 连接。我们对强大解决方案的分析取决于Reilly身份的新版本。
We derive the dynamic boundary condition for the heat equation as a limit of boundary layer problems. We study convergence of their weak and strong solutions as the width of the layer tends to zero. We also discuss $Γ$-convergence of the functionals generating these flows. Our analysis of strong solutions depends on a new version of the Reilly identity.
