Blow-up solutions of damped Klein–Gordon equation on the Heisenberg group

被引：0
|
作者：
Michael Ruzhansky
Bolys Sabitbek
机构：
[1] Ghent University,Department of Mathematics: Analysis, Logic and Discrete Mathematics
[2] Queen Mary University of London,School of Mathematical Sciences
[3] Institute of Mathematics and Mathematical Modelling,undefined
来源：
European Journal of Mathematics | 2023年 / 9卷
关键词：
Blow-up; Sub-Laplacian; Heisenberg group; Damped Klein–Gordon equation; 35L71; 35R03; 35B44;
D O I：
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摘要：
We prove the blow-up of solutions of the semilinear damped Klein–Gordon equation in a finite time for arbitrary positive initial energy on the Heisenberg group. This work complements the paper Ruzhansky and Tokmagambetov (J Differ Equ 265(10):5212–5236, 2018), where the global in time well-posedness was proved for the small energy solutions.
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