具有 Log-Lipschitz 系数的抛物型方程初始条件的重建
偏微分方程分析
2024-06-25 v2
摘要
我们考虑一个系数在 上是 Log-Lipschitz 连续且在 上是 Lipschitz 连续的抛物型方程。结合近期的条件稳定性结果与一个适定的变分问题，我们从最终时刻的粗糙测量中重建了未知解的初始条件。
引用
@article{arxiv.2401.03837,
title = {Reconstruction of the initial condition in parabolic equations with Log-Lipschitz coefficients},
author = {Daniele Del Santo and Martino Prizzi},
journal= {arXiv preprint arXiv:2401.03837},
year = {2024}
}
备注
11 pages; this version of the article has been accepted for publication in Annali di Matematica Pura e Applicata