A class of symmetric hyperbolic systems with special properties

DOI10.1080/03605307908820101zbMath0448.35061OpenAlexW2087019398MaRDI QIDQ3894347

David S. Gilliam, John R. Schulenberger

Publication date: 1979

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605307908820101

zbMATH Keywords

Cauchy problemwave equationsevolution operatorsymmetric hyperbolic systemspotentialswave-propagation phenomena

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) First-order hyperbolic systems (35L40)

Related Items (10)

Spectral and scattering theory for symmetric systems of nonconstant deficit ⋮ Maxwell potentials ⋮ Strongly propagative systems, generalized nonselfadjoint wave equations and their steady-state solutions ⋮ Regularized spectral distributions ⋮ Eigenfunction expansions for the equations of crystal optics in a half- space ⋮ Average stability and decay properties of forced solutions of the wave propagation problems of classical physics in energy and mean norms ⋮ Integrated semigroups and the Cauchy problem for systems in \(L^ p\) spaces ⋮ Isomorphisms of hyperbolic systems and the aether ⋮ Electromagnetic waves in a three-dimensional half space with a dissipative boundary ⋮ The Cauchy problem for electromagnetic wave propagation in globally perturbed nonselfadjoint media

Cites Work

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• Wave operators and asymptotic solutions of wave propagation problems of classical physics
• Coerciveness inequalities for nonelliptic systems of partial differential equations
• Measurable eigenvectors for Hermitian matrix-valued polynomials

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