Global existence and blow-up for the viscoelastic damped wave equation on the Heisenberg group
The purpose of this article is to study the Cauchy problem for the viscoelastic damped wave equation on the Heisenberg group. We first prove the global existence of small data solutions for $p\in [2,Q/(Q-4)]$ if $n=2,3$, $p>2$ if $n=1 $ using the contraction principle. Then, a blow-up result is o...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2025-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2025/71/abstr.html |
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