2 papers
math.CA2026
Weighted Bounded Variation Revisited
Simon Bortz, Matthew Gossett, Joseph Kasel +1
In this article, we investigate the theory of weighted functions of bounded variation (BV), as introduced by Baldi [Ba01]. Depending on the theorem, we impose lower semicontinuity…
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…