标题： 具非扩散系数尺度的非局部卷积型算子抛物问题的均匀化理论 显示英文标题

标题： Homogenization of parabolic problems for non-local convolution type operators under non-diffusive scaling of coefficients

摘要： 我们研究了一类非自治抛物方程的均匀化问题，其形式为$\partial_t u=L(t)u$，其中包含一个具有非对称跳跃核的积分卷积型算子$L(t)$，该核在空间变量和时间上都是周期性的。 假设环境的空间-时间尺度不是弥散的。 我们证明了解的空间和时间演化渐近地变得解耦，并且均匀化结果在一个移动框架中成立。 显示英文摘要

摘要： We study homogenization problem for non-autonomous parabolic equations of the form $\partial_t u=L(t)u$ with an integral convolution type operator $L(t)$ that has a non-symmetric jump kernel which is periodic in spatial variables and in time. It is assumed that the space-time scaling of the environment is not diffusive. We show that asymptotically the spatial and temporal evolutions of the solutions are getting decoupled, and the homogenization result holds in a moving frame.