2 papers
math.AP2025
The parabolic Dirichlet problem with continuous and Hölder boundary data, and rough coefficients
Pablo Hidalgo-Palencia, Cody Hutcheson, Joseph Kasel
We provide very mild sufficient conditions for space-time domains (non-necessarily cylindrical) which ensure that the continuous Dirichlet problem and the Hölder Dirichlet problem…
math.FA2025
A second order approach to the Kato square root problem on open sets
Sebastian Bechtel, Cody Hutcheson, Tim Schmatzler +2
We obtain the Kato square root property for coupled second-order elliptic systems in divergence form subject to mixed boundary conditions on an open and possibly unbounded set in $…