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ISSN 1088-6850(e) ISSN 0002-9947(p)

Blow-up of solutions of nonlinear parabolic inequalities

Author(s): Steven D. Taliaferro
Journal: Trans. Amer. Math. Soc. 361 (2009), 3289-3302.
MSC (2000): Primary 35K55, 35B40, 35R45
Posted: January 26, 2009
MathSciNet review: 2485427
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

Abstract: We study nonnegative solutions of the nonlinear parabolic inequalities

$\displaystyle au^\lambda \le u_t - \Delta u \le u^\lambda$

in various subsets of ${\bf R}^n\times {\bf R}$ , where $\lambda>\frac{n+2}{n}$ and $a\in (0,1)$ are constants. We show that changing the value of

in the open interval

can dramatically affect the blow-up of these solutions.

References:

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