Fatma Al-Musalhi, Sebti Kerbal
Abstract:
Blowing-up solutions to nonlocal nonlinear ultra-parabolic equations
is presented. The obtained results will contribute in the development of
ultra-parabolic equations and enrich the existing non-extensive literature
on fractional nonlinear ultra-parabolic problems. Our method of proof
relies on a suitable choice of a test function and the weak formulation
approach of the sought for solutions.
Submitted April 10, 2016. Published July 5, 2016.
Math Subject Classifications: 35A01, 26A33, 35K70.
Key Words: Nonexistence; nonlinear ultra-parabolic equations;
nonlocal space and time operators.
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Fatma Al-Musalhi Department of Mathematics and Statistics Sultan Qaboos University,P.O. Box 36 Al-Khodh 123, Muscat, Oman email: p070293@student.squ.edu.om |
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Sebti Kerbal Department of Mathematics and Statistics Sultan Qaboos University, P.O. Box 36 Al-Khodh 123, Muscat, Oman email: skerbal@squ.edu.om |
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