Logarithmic stability inequality in an inverse source problem for the heat equation on a waveguide
No Thumbnail Available
Date
2020
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
We prove logarithmic stability in the parabolic inverse problem of determining the space-varying factor in the source, by a single partial boundary measurement of the solution to the heat equation in an infinite closed waveguide, with homogeneous initial and Dirichlet data.
Description
Keywords
Inverse problem, heat equation, time-dependent source term, stability inequality, Carleman estimate, partial boundary data