3 papers
math.AP2026
Quantitative stability for quasilinear parabolic equations
Tapio Kurkinen, Qing Liu
We examine the stability of a class of quasilinear parabolic partial differential equations under perturbations. We are interested in the behavior of viscosity solutions as the per…
math.AP2024
Boundary regularity for a general nonlinear parabolic equation in non-divergence form
Tapio Kurkinen
We characterize regular boundary points in terms of a barrier family for a general form of a parabolic equation that generalizes both the standard parabolic -Laplace equation an…
math.AP2023
Intrinsic Harnack's inequality for a general nonlinear parabolic equation in non-divergence form
Tapio Kurkinen, Jarkko Siltakoski
We prove the intrinsic Harnack's inequality for a general form of a parabolic equation that generalizes both the standard parabolic -Laplace equation and the normalized version…