Moving gradient singularity for the evolutionary $p$-Laplace equation

Autor:	Lindgren, Erik, Takahashi, Jin
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	We consider the evolutionary $p$-Laplace equation in $\mathbb{R}^n$. For $p>n$, we construct a solution $u$ with a moving gradient singularity in the sense that $|\nabla u(x,t)|\to \infty$ for each $t$ as $x\to\xi(t)$, where $\xi:[0,\infty)\to\mathbb{R}^n$ is a given curve.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.00993 Zobrazit plný text záznamu View this record from Arxiv