Calculating heat and wave propagation from lateral Cauchy data

• Date: 2022
• Main Authors: Chapko, R., Johansson, B. T.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2022
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6880
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 519.6 We give an overview of recent methods based on semi-discretisation in time for the inverse ill-posed problem of calculating the solution of evolution equations from time-like Cauchy data. Specifically, the function value and normal derivative are given on a portion of the lateral boundary...