Výsledky vyhledávání

Report

Second order Sobolev regularity results for the generalized $p$-parabolic equation

Autor: Feng, Yawen, Parviainen, Mikko, Sarsa, Saara

We study a general class of parabolic equations $$ u_t-|Du|^\gamma\big(\Delta u+(p-2) \Delta_\infty^N u\big)=0, $$ which can be highly degenerate or singular. This class contains as special cases the standard parabolic $p$-Laplace equation and the no

Externí odkaz: http://arxiv.org/abs/2404.06161

Zobrazit plný text záznamu

Report

A systematic approach on the second order regularity of solutions to the general parabolic $p$-Laplace equation

Autor: Feng, Yawen, Parviainen, Mikko, Sarsa, Saara

We study a general form of a degenerate or singular parabolic equation $$ u_t-|Du|^{\gamma}\big(\Delta u+(p-2)\Delta_\infty^Nu\big)=0 $$ that generalizes both the standard parabolic $p$-Laplace equation and the normalized version that arises from sto

Externí odkaz: http://arxiv.org/abs/2304.00108

Zobrazit plný text záznamu

Akademický článek

Lysosome toxicities induced by nanoparticle exposure and related mechanisms

Autor: Feng, Yawen, Fu, Hongying, Zhang, Xing, Liu, Suqin, Wei, Xiaoran

Publikováno v: In Ecotoxicology and Environmental Safety 1 November 2024 286

Zobrazit plný text záznamu

Report

On the second order regularity of solutions to the parabolic $p$-Laplace equation

Autor: Feng, Yawen, Parviainen, Mikko, Sarsa, Saara

In this paper, we study the second order Sobolev regularity of solutions to the parabolic $p$-Laplace equation. For any $p$-parabolic function $u$, we show that $D(|Du|^{\frac{p-2+s}{2}}Du)$ exists as a function and belongs to $L^{2}_{\text{loc}}$ wi

Externí odkaz: http://arxiv.org/abs/2110.07943

Zobrazit plný text záznamu