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 | |
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Mohamed Jleli Department of Mathematics College of Science, King Saud University P.O. Box 2455, Riyadh 11451, Saudi Arabia email: jleli@ksu.edu.sa |
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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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