Blow-up Phenomena for a Pseudo-parabolic Equation on Stratified Groups

Jabbarkhanov K. Mamanazarov A.
October 2024 Pleiades Publishing

Lobachevskii Journal of Mathematics
2024 #45 Issue 10 5043 - 5054 pp.

Abstract: In the present work, the blow-up of the solution of a pseudo-parabolic equation is studied on the stratified groups. To prove our results we use the method of concavity. First, we show the upper bound of the blow-up time of the solution with nonpositive energy. Then, we show that there is no global in-time solution with positive energy under some conditions to the initial value.

an upper bound of blow-up time , blow-up of the solution , non-positive energy , positive energy , pseudo-parabolic equation

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International School of Economics, Maqsut Narikbayev University, Astana, 010000, Kazakhstan
Department of Mathematics, Nazarbayev University, Astana, 010000, Kazakhstan
Fergana State University, Fergana, 150100, Uzbekistan

International School of Economics
Department of Mathematics
Fergana State University

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