Differential and Integral Equations

Integrability and boundedness of local solutions to singular and degenerate quasilinear parabolic equations

Mike O'Leary

Abstract

Integral and supremum estimates are proven for local solutions of degenerate and singular quasilinear parabolic equations. This is done with the aid of a local energy inequality and estimates in $L^{\text{weak}}_q$ spaces.

Article information

Source
Differential Integral Equations, Volume 12, Number 3 (1999), 435-452.

Dates
First available in Project Euclid: 29 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1367265220

Mathematical Reviews number (MathSciNet)
MR1674418

Zentralblatt MATH identifier
1014.35048

Subjects
Primary: 35K55: Nonlinear parabolic equations
Secondary: 35K65: Degenerate parabolic equations

Citation

O'Leary, Mike. Integrability and boundedness of local solutions to singular and degenerate quasilinear parabolic equations. Differential Integral Equations 12 (1999), no. 3, 435--452. https://projecteuclid.org/euclid.die/1367265220