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

2023

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DOI 10.1007/s40879-023-00654-9
Data confidence 70 medium
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Abstract

Abstract 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.