Inverse problems for some fractional equations with general nonlinearity

PZ Kow, JN Wang - Research in the Mathematical Sciences, 2023 - Springer
Inspired by some interesting equations modeling anomalous diffusion and nonlinear
phenomena, we will study the inverse problems of uniquely identifying coefficients in …

Well-posedness and inverse problems for the nonlocal third-order acoustic equation with time-dependent nonlinearity

SR Fu, Y Yu - arXiv preprint arXiv:2411.08657, 2024 - arxiv.org
In this paper, we study the inverse problems of simultaneously determining a potential term
and a time-dependent nonlinearity for the nonlinear Moore-Gibson-Thompson equation with …

Inverse coefficient problems for the heat equation with fractional Laplacian

A Mamanazarov, D Suragan - arXiv preprint arXiv:2405.13338, 2024 - arxiv.org
In the present paper we study inverse problems related to determining the time-dependent
coefficient and unknown source function of fractional heat equations. Our approach shows …

[PDF][PDF] An introduction to partial differential equations and functional analysis Lecture notes, Spring 2024 (Version: December 27, 2023)

PZ Kow - puzhaokow1993.github.io
This lecture note is prepared for the course Partial Di erential Equations, for undergraduate
(701925001) and postgraduate (751944001) levels, during Spring 2024 (112-2). My …