Differential and Integral Equations

Finite-time blow-up and global solutions for some nonlinear parabolic equations

Filippo Gazzola

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Abstract

For a class of semilinear parabolic equations, we prove both global existence and finite-time blow-up depending on the initial datum. The proofs involve tools from the potential-well theory, from the critical-point theory, and from classical comparison principles.

Article information

Source
Differential Integral Equations Volume 17, Number 9-10 (2004), 983-1012.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356060311

Mathematical Reviews number (MathSciNet)
MR2082457

Zentralblatt MATH identifier
1150.35336

Subjects
Primary: 35K55: Nonlinear parabolic equations
Secondary: 35B40: Asymptotic behavior of solutions

Citation

Gazzola, Filippo. Finite-time blow-up and global solutions for some nonlinear parabolic equations. Differential Integral Equations 17 (2004), no. 9-10, 983--1012. https://projecteuclid.org/euclid.die/1356060311.


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