Asymptotic behavior of solutions to hyperbolic partial differential equations with zero speeds

DOI10.1002/cpa.3160310404zbMath0368.35043OpenAlexW2045255502MaRDI QIDQ4146025

Jeffrey Rauch

Publication date: 1978

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160310404

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) First-order hyperbolic systems (35L40)

Related Items (10)

Spectral and scattering theory for symmetric systems of nonconstant deficit ⋮ Global solutions of the nonlinear Schrödinger equation in exterior domains ⋮ Average stability and decay properties of forced solutions of the wave propagation problems of classical physics in energy and mean norms ⋮ Asymptotic expansions in time for solutions of Schrödinger-type equations ⋮ Spectral theory of first-order systems: From crystals to Dirac operators ⋮ Global solutions of the nonlinear schrödinger equation in exterior domains ⋮ Local decay of scattering solutions to Schrödinger's equation ⋮ Representation of the scattering operator for dissipative hyperbolic systems ⋮ Local energy decay of solutions of linearized shallow‐water equations ⋮ Local decrease of energy of solutions of hyperbolic systems

Cites Work

• Eigenfunction expansions and scattering theory for wave propagation problems of classical physics
• A parametrix for mixed problems for strictly hyberbolic equations of arbitrary order
• Unnamed Item

This page was built for publication: Asymptotic behavior of solutions to hyperbolic partial differential equations with zero speeds