标题： 一般非局部线性椭圆和抛物型问题的对称化结果 显示英文标题

标题： Symmetrization results for general nonlocal linear ellipitic and parabolic problems

摘要： 我们建立了一个类似于Talenti的对称化结果，以质量集中（即积分比较）的形式应用于非常一般的线性非局部椭圆问题，并配备齐次Dirichlet边界条件。在此框架下，经典分数阶Laplacian的相关集中比较可以作为我们主要结果的一个特例，从而推广了[21]中的先前结果。最后，使用隐式时间离散化技术，得到了Cauchy-Dirichlet非局部线性抛物问题解的类似结果。 显示英文摘要

摘要： We establish a Talenti-type symmetrization result in the form of mass concentration (i.e. integral comparison) for very general linear nonlocal elliptic problems, equipped with homogeneous Dirichlet boundary conditions. In this framework, the relevant concentration comparison for the classical fractional Laplacian can be reviewed as a special case of our main result, thus generalizing the previous results in [21]. Finally, using an implicit time discretization techniques, similar results are obtained for the solutions of Cauchy-Dirichlet nonlocal linear parabolic problems.