The porous medium equation with variable exponent revisited

Autor:	Eurica Henriques
Rok vydání:	2020
Předmět:	Pure mathematics Mathematics (miscellaneous) Variable exponent Bounded function Mathematics::Analysis of PDEs Exponent Nabla symbol Porous medium Omega Mathematics Variable (mathematics)
Zdroj:	Journal of Evolution Equations. 21:1495-1511
ISSN:	1424-3202 1424-3199
DOI:	10.1007/s00028-020-00632-8
Popis:	The author presents a simplified proof for the local continuity of the weak solutions to the porous medium equation with variable positive bounded exponent $$\gamma (x,t)$$ $$\begin{aligned} u_t-\nabla \cdot \left( |u|^{\gamma (x,t)} \, \nabla u\right) =0 , \quad \mathrm {in} \quad \Omega _T =\Omega \times (0,T] , 0
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c13b37e2e4d980b7079fff9fea942403 https://doi.org/10.1007/s00028-020-00632-8 Zobrazit plný text záznamu Full text from SpringerLink