## Differential and Integral Equations

### The time derivative in a singular parabolic equation

Peter Lindqvist

#### Abstract

We study the Evolutionary $p$-Laplace Equation in the singular case $1 < p < 2$. We prove that a weak solution has a time derivative (in Sobolev's sense) which is a function belonging (locally) to a $L^q$-space.

#### Article information

Source
Differential Integral Equations, Volume 30, Number 9/10 (2017), 795-808.

Dates
First available in Project Euclid: 27 May 2017

https://projecteuclid.org/euclid.die/1495850427

Mathematical Reviews number (MathSciNet)
MR3656487

Zentralblatt MATH identifier
06770142

Subjects
Primary: 35K67, 35K92, 35B45

#### Citation

Lindqvist, Peter. The time derivative in a singular parabolic equation. Differential Integral Equations 30 (2017), no. 9/10, 795--808. https://projecteuclid.org/euclid.die/1495850427