Differential and Integral Equations

Degenerate parabolic equation with critical exponent derived from the kinetic theory, III, $\varepsilon$-regularity

Takashi Suzuki and Ryo Takahashi

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Abstract

We study the degenerate parabolic equation with critical exponent derived from the kinetic theory using R\'enyi-Tsallis entropy, and show an $\varepsilon$-regularity theorem concerning the local uniform bound of the solution.

Article information

Source
Differential Integral Equations, Volume 25, Number 3/4 (2012), 223-250.

Dates
First available in Project Euclid: 20 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356012735

Mathematical Reviews number (MathSciNet)
MR2917883

Zentralblatt MATH identifier
1265.35130

Subjects
Primary: 35K55: Nonlinear parabolic equations 35Q99: None of the above, but in this section

Citation

Suzuki, Takashi; Takahashi, Ryo. Degenerate parabolic equation with critical exponent derived from the kinetic theory, III, $\varepsilon$-regularity. Differential Integral Equations 25 (2012), no. 3/4, 223--250. https://projecteuclid.org/euclid.die/1356012735


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