Differential and Integral Equations

Gevrey class regularity for parabolic equations

Yung-Jen Lin Guo and Pei-Ling Lee

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Abstract

We consider the regularity of parabolic equations. We obtain that the solution belongs to Gevrey class 2 up to the boundary if functions in the equation belong to Gevrey class 2 in all dependent variables.

Article information

Source
Differential Integral Equations, Volume 14, Number 8 (2001), 989-1004.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356123176

Mathematical Reviews number (MathSciNet)
MR1827099

Zentralblatt MATH identifier
1161.35340

Subjects
Primary: 35G20: Nonlinear higher-order equations
Secondary: 35K55: Nonlinear parabolic equations 35K60: Nonlinear initial value problems for linear parabolic equations

Citation

Lee, Pei-Ling; Guo, Yung-Jen Lin. Gevrey class regularity for parabolic equations. Differential Integral Equations 14 (2001), no. 8, 989--1004. https://projecteuclid.org/euclid.die/1356123176


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