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July/August 2017 Threshold and strong threshold solutions of a semilinear parabolic equation
Pavol Quittner
Adv. Differential Equations 22(7/8): 433-456 (July/August 2017).

Abstract

If $p>1+2/n$, then the equation $u_t-\Delta u = u^p, \quad x\in{\mathbb R}^n,\ t>0,$ possesses both positive global solutions and positive solutions which blow up in finite time. We study the large time behavior of radial positive solutions lying on the borderline between global existence and blow-up.

Citation

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Pavol Quittner. "Threshold and strong threshold solutions of a semilinear parabolic equation." Adv. Differential Equations 22 (7/8) 433 - 456, July/August 2017.

Information

Accepted: 1 October 2016; Published: July/August 2017
First available in Project Euclid: 4 May 2017

zbMATH: 06754292
MathSciNet: MR3646467

Subjects:
Primary: 35B40, 35K55, 35K57

Rights: Copyright © 2017 Khayyam Publishing, Inc.

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Vol.22 • No. 7/8 • July/August 2017
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