2 papers
math.CV2026
Remote temperature sensing in 2D and the Bergman kernel
Steven R. Bell, Leah McNabb
We explore the problem of estimating the steady state temperature in a two-dimensional domain at a point knowing the temperature to high order at another point. We find connections…
math.CV2025
A new way to express boundary values in terms of holomorphic functions on planar Lipschitz domains
Steven R. Bell, Loredana Lanzani, Nathan A. Wagner
We decompose - integrable functions on the boundary of a simply connected Lipschitz domain into the sum of the boundary values of two, uniquely determined…