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arXiv · 2205.02705

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

Michael Ruzhansky·Bolys Sabitbek
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Abstract

Inthisnote,weprovetheblow-upofsolutionsofthesemilineardamped Klein-Gordon equation in a finite time for arbitrary positive initial energy on the Heisenberg group. This work complements the paper [21] by the first author and Tokmagambetov, where the global in time well-posedness was proved for the small energy solutions.

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Michael Ruzhansky, Bolys Sabitbek. 2022-05-05. Blow-up solutions of damped Klein-Gordon equation on the Heisenberg group. https://doi.org/10.1007/s40879-023-00654-9

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