Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces

Michael Ruzhansky, Vishvesh Kumar, Aparajita Dasgupta, Shyam Swarup Mondal

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) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

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