3 papers
math.AP2026
Doubling measures, Poincaré inequalities and parabolic Harnack inequalities for a doubly nonlinear equation
Theo Elenius, Juha Kinnunen
We characterize metric measure spaces satisfying parabolic Harnack inequalities for a doubly nonlinear equation in terms of volume doubling and Poincaré inequalities. Our approach…
math.AP2025
Carleson-type removability for -parabolic equations
MichaŠBorowski, Theo Elenius, Leah Schätzler +1
We characterize removable sets for Hölder continuous solutions to degenerate parabolic equations of -growth. A sufficient and necessary condition for a set to be removable is g…
math.AP2025
Characterizations and properties of solutions to parabolic problems of linear growth
Theo Elenius
We consider notions of weak solutions to a general class of parabolic problems of linear growth, formulated independently of time regularity. Equivalence with variational solutions…