Finite propagation speed for first order systems and Huygens’ principle for hyperbolic equations

DOI10.1090/S0002-9939-2013-11661-8zbMath1275.35080arXiv1201.1818OpenAlexW1992811022MaRDI QIDQ2845426

Andrew J. Morris, Alan G. R. McIntosh

Publication date: 30 August 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.1818

zbMATH Keywords

\(C_0\) groups

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) One-parameter semigroups and linear evolution equations (47D06) Abstract hyperbolic equations (35L90) Initial value problems for systems of linear first-order PDEs (35F40)

Related Items

Spectral multiplier theorem and sub-Gaussian heat kernel estimates ⋮ \(K\)-homology classes of elliptic uniform pseudodifferential operators ⋮ Finite speed of propagation and off-diagonal bounds for Ornstein-Uhlenbeck operators in infinite dimensions ⋮ Spectral multipliers and wave equation for sub-Laplacians: lower regularity bounds of Euclidean type ⋮ Spectral multipliers without semigroup framework and application to random walks ⋮ The Schrödinger equation in \(L^p\) spaces for operators with heat kernel satisfying Poisson type bounds

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