A boundary estimate for singular parabolic diffusion equations

U Gianazza, N Liao, T Lukkari - Nonlinear Differential Equations and …, 2018 - Springer
A boundary estimate for singular parabolic diffusion equations Page 1 Nonlinear Differ. Equ.
Appl. (2018) 25:33 c© 2018 Springer International Publishing AG, part of Springer Nature …

Fine boundary continuity for degenerate double-phase diffusion

S Ciani, E Henriques, I Skrypnik - arxiv preprint arxiv:2403.06550, 2024 - arxiv.org
We study the boundary behavior of solutions to parabolic double-phase equations through
the celebrated Wiener's sufficiency criterion. The analysis is conducted for cylindrical …

On notions of -parabolic capacity and applications

K Moring, C Scheven - arxiv preprint arxiv:2409.16066, 2024 - arxiv.org
We consider different notions of capacity related to the parabolic $ p $-Laplace equation.
Our focus is on a variational notion, which is consistent in the full range $1< p<\infty $. For …

Regularity estimates for singular parabolic measure data problems with sharp growth

JT Park, P Shin - Journal of Differential Equations, 2022 - Elsevier
We prove global gradient estimates for parabolic p-Laplace type equations with measure
data, whose model is ut− div (| D u| p− 2 D u)= μ in Ω×(0, T)⊂ R n× R, where μ is a signed …

Marcinkiewicz regularity for singular parabolic p-Laplace type equations with measure data

JT Park - Nonlinear Analysis, 2022 - Elsevier
We consider quasilinear parabolic equations with measurable coefficients when the right-
hand side is a signed Radon measure with finite total mass, having p-Laplace type: ut− div a …

A Boundary Estimate for Singular Sub-Critical Parabolic Equations

U Gianazza, N Liao - International Mathematics Research …, 2022 - academic.oup.com
We prove an estimate on the modulus of continuity at a boundary point of a cylindrical
domain for local weak solutions to singular parabolic equations of-Laplacian type, with in the …

[PDF][PDF] On a New Parabolic Sobolev Embedding Map

M El Aidi - Moroccan Journal of Pure and Applied Analysis - sciendo.com
On a New Parabolic Sobolev Embedding Map Page 1 Moroccan J. of Pure and Appl. Anal. (MJPAA)
Volume 9(3), 2023, Pages 331–338 ISSN: Online 2351-8227 - Print 2605-6364 DOI …

Characterizations of interior polar sets for the degenerate p-parabolic equation

B Avelin, O Saari - Journal of Evolution Equations, 2017 - Springer
This paper deals with different characterizations of sets of nonlinear parabolic capacity zero,
with respect to the parabolic p-Laplace equation. Specifically we prove that certain interior …