Asymptotic properties of general symmetric hyperbolic systems

DOI10.1016/0022-1236(80)90080-4zbMath0432.35053OpenAlexW2134565416MaRDI QIDQ1138721

Geraldo S. S. Avila, David Goldstein Costa

Publication date: 1980

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(80)90080-4

zbMATH Keywords

energyCauchy problemperturbed systeminitial dataexistence of wave operatorsasymptotic properties of general symmetric hyperbolic systemssolution group

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Higher-order hyperbolic systems (35L55)

Related Items (5)

Spectral and scattering theory for symmetric systems of nonconstant deficit ⋮ Error Estimates for Finite Difference Approximations to Hyperbolic Equations for Large Time ⋮ Average stability and decay properties of forced solutions of the wave propagation problems of classical physics in energy and mean norms ⋮ The principle of limiting absorption and decay of local energy for the linearized equation of magnetogasdynamics ⋮ Unnamed Item

Cites Work

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• Decay of solutions of symmetric hyperbolic systems of partial differential equations
• The existence of wave operators in scattering theory
• On partition of energy for uniformly propagative systems
• Wave operators and asymptotic solutions of wave propagation problems of classical physics
• The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds
• Measurable eigenvectors for Hermitian matrix-valued polynomials
• Uniform asymptotic expansions at a caustic
• Spectral resolution of differential operators associated with symmetric hyperbolic systems

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