3 papers
math.AP2025
Lipschitz regularity for parabolic double phase equations with gradient nonlinearity
Abhrojyoti Sen, Jarkko Siltakoski
We establish the local Lipschitz regularity in space for the viscosity solutions to the parabolic double phase equation of the form \[ \smash{\partial_{t}u-\operatorname{div} \left…
math.AP2025
Gradient higher integrability for degenerate parabolic double phase systems with two modulating coefficients
Jehan Oh, Abhrojyoti Sen
We establish an interior gradient higher integrability result for weak solutions to degenerate parabolic double phase systems involving two modulating coefficients. To be more prec…
math.AP2025
Parabolic Lipschitz truncation for multi-phase problems: the degenerate case
Bogi Kim, Jehan Oh, Abhrojyoti Sen
This article is devoted to exploring the Lipschitz truncation method for parabolic multi-phase problems. The method is based on Whitney decomposition and covering lemmas with a del…