On determining and breaking the gauge class in inverse problems for reaction-diffusion equations

Autor: Yavar Kian, Tony Liimatainen, Yi-Hsuan Lin
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Forum of Mathematics, Sigma, Vol 12 (2024)
Druh dokumentu: article
ISSN: 2050-5094
DOI: 10.1017/fms.2024.18
Popis: We investigate an inverse boundary value problem of determination of a nonlinear law for reaction-diffusion processes, which are modeled by general form semilinear parabolic equations. We do not assume that any solutions to these equations are known a priori, in which case the problem has a well-known gauge symmetry. We determine, under additional assumptions, the semilinear term up to this symmetry in a time-dependent anisotropic case modeled on Riemannian manifolds, and for partial data measurements on ${\mathbb R}^n$ .
Databáze: Directory of Open Access Journals