Blow-up solutions of damped Klein–Gordon equation on the Heisenberg group
Ruzhansky M. Sabitbek B.
September 2023Springer Science and Business Media Deutschland GmbH
European Journal of Mathematics
2023#9Issue 3
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.
Blow-up , Damped Klein–Gordon equation , Heisenberg group , Sub-Laplacian
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Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium
School of Mathematical Sciences, Queen Mary University of London, London, United Kingdom
Institute of Mathematics and Mathematical Modelling, Almaty, Kazakhstan
Department of Mathematics: Analysis
School of Mathematical Sciences
Institute of Mathematics and Mathematical Modelling
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