Electron. J. Diff. Equ., Vol. 2015 (2015), No. 167, pp. 1-9.

Blow-up of solutions to parabolic inequalities in the Heisenberg group

Ibtehal Azman, Mohamed Jleli, Bessem Samet

Abstract:
We establish a Fujita-type theorem for the blow-up of nonnegative solutions to a certain class of parabolic inequalities in the Heisenberg group. Our proof is based on a duality argument.

Submitted May 15, 2015. Published June 17, 2015.
Math Subject Classifications: 47J35, 35R03.
Key Words: Nonexistence; global solution; differential inequality; Heisenberg group.

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  Ibtehal Azman
Department of Mathematics
College of Science, King Saud University
P.O. Box 2455, Riyadh 11451, Saudi Arabia
email: ibtehalazman@yahoo.com
Mohamed Jleli
Department of Mathematics
College of Science, King Saud University
P.O. Box 2455, Riyadh 11451, Saudi Arabia
email: jleli@ksu.edu.sa
Bessem Samet
Department of Mathematics
College of Science, King Saud University
P.O. Box 2455, Riyadh 11451, Saudi Arabia
email: bsamet@ksu.edu.sa

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