Error Estimates for the Time Discretization of a Semilinear Integrodifferential Parabolic Problem with Unknown Memory Kernel

摘要

This paper is devoted to the study of an inverse problem containing a semilinear integrodifferential parabolic equation with an unknown memory kernel.This equation is accompanied by a Robin boundary condition.The missing kernel can be recovered from an additional global measurement in integral form.In this contribution,an error analysis is performed for a time-discrete numerical scheme based on Backward Euler's Method.The theoretical results are supported by some numerical experiments.