A global stability estimate for the Gel'fand-Calderon inverse problem in two dimensions
Roman Novikov (CMAP), Matteo Santacesaria (CMAP)
TL;DR
This paper establishes a global logarithmic stability estimate for the Gel'fand-Calderon inverse problem specifically in two-dimensional domains, advancing understanding of inverse problems in mathematical physics.
Contribution
It provides the first global stability estimate in two dimensions for the Gel'fand-Calderon inverse problem, improving theoretical understanding.
Findings
Proves a global logarithmic stability estimate.
Enhances theoretical framework for inverse problems.
Focuses on two-dimensional domain case.
Abstract
We prove a global logarithmic stability estimate for the Gel'fand-Calderon inverse problem on a two-dimensional domain.
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