\(L^p\)-estimates for the wave equation on the Heisenberg group
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Publication:1125259
DOI10.4171/RMI/258zbMath0935.43003OpenAlexW1981036054MaRDI QIDQ1125259
Publication date: 4 May 2000
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/39572
Wave equation (35L05) Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)
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Extension problem and fractional operators: semigroups and wave equations ⋮ Nonlinear damped wave equations for the sub-Laplacian on the Heisenberg group and for Rockland operators on graded Lie groups ⋮ Estimates for the linear viscoelastic damped wave equation on the Heisenberg group ⋮ Lifespan estimates for local in time solutions to the semilinear heat equation on the Heisenberg group ⋮ Approximation properties of combination of multivariate averages on Hardy spaces ⋮ Hardy space estimates for the wave equation on compact Lie groups ⋮ Blow-up solutions of damped Klein-Gordon equation on the Heisenberg group ⋮ Nonexistence of solutions of some non-linear non-local evolution systems on the Heisenberg group ⋮ On sharp estimates for Schrödinger groups of fractional powers of nonnegative self-adjoint operators ⋮ Spectral multipliers and wave equation for sub-Laplacians: lower regularity bounds of Euclidean type ⋮ Decay estimates for the linear damped wave equation on the Heisenberg group ⋮ \(L_p\)-estimates of the wave equation on varieties with a conic singularity ⋮ Space-time estimates on damped fractional wave equation ⋮ On estimates for the Besov norms of solutions to 3D subelliptic equations ⋮ \(L^{p}-L^{2}\) estimates for solutions of the wave equation associated to the Grushin operator ⋮ On the wave equation associated to the Hermite and the twisted Laplacian ⋮ Oscillating multipliers for some eigenfunction expansions ⋮ Time-dependent wave equations on graded groups ⋮ The Heisenberg group and its relatives in the work of Elias M. Stein ⋮ Endpoint Results for Fourier Integral Operators on Noncompact Symmetric Spaces ⋮ Wave equation for sums of squares on compact Lie groups ⋮ Strongly Singular Integrals on Stratified Groups ⋮ Oscillating spectral multipliers on groups of Heisenberg type ⋮ Nonexistence results for a class of evolution equations in the Heisenberg group
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