A semi-linear shifted wave equation on the hyperbolic spaces with application on a quintic wave equation on R²
In this paper we consider a semi-linear, defocusing, shifted wave equation on the hyperbolic space ∂[subscript t][superscript 2]u- (∆ℍ[superscript n] +ρ[superscript 2] )u = -|u| p[superscript -1] u, (x,t) ∈ ℍ n × ℝ, and we introduce a Morawetz-type inequality (Formula presented) where ε is the energ...
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| Format: | Article |
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American Mathematical Society (AMS)
2018
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| Online Access: | http://hdl.handle.net/1721.1/116024 https://orcid.org/0000-0002-8220-4466 |