Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order

Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order hyperbolic equations (35L15) Analysis on other specific Lie groups (43A80) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

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