Blow-Up Theorems for p-Sub-Laplacian Heat Operators on Stratified Groups

Oralsyn G. Sabitbek B.
October 2022 Birkhauser

Complex Analysis and Operator Theory
2022 #16 Issue 7

In this paper, we present blow-up results for solutions to the Dirichlet initial value problem for the p-sup-Laplacian heat operators on the stratified (Lie) groups. A stratified group version of the Poincaré inequality from Ruzhansky and Suragan (J Differ Equ 262:1799–1821, 2017) plays a key role in our proofs.

Blow-up , p-Sub-Laplacian , Poincaré inequality , Stratified group

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Institute of Mathematics and Mathematical Modeling, 125 Pushkin Street, Almaty, 050010, Kazakhstan
Department of Mathematics, Nazarbayev University, 53 Kabanbay Batyr Ave., Nur-Sultan, 010000, Kazakhstan
Department of Mechanics and Mathematics, Al-Farabi Kazakh National University, 71 al-Farabi Ave., Almaty, 050040, Kazakhstan

Institute of Mathematics and Mathematical Modeling
Department of Mathematics
Department of Mechanics and Mathematics

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