HYPERBOLIC DOMAINS OF DETERMINACY AND HAMILTON–JACOBI EQUATIONS

DOI10.1142/S0219891605000609zbMath1090.35114OpenAlexW2076665975MaRDI QIDQ5703298

Jean-Luc Joly, Jeffrey Rauch, Guy Metivier

Publication date: 8 November 2005

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219891605000609

zbMATH Keywords

time of arrivalfinite speedHamilton--Jacobi equationdomain of independenceDomain of influence

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial-boundary value problems for first-order hyperbolic systems (35L50) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items (6)

A Few Remarks on Hyperbolic Systems with Zygmund in Time Coefficients ⋮ On the Cauchy problem for microlocally symmetrizable hyperbolic systems with log-Lipschitz coefficients ⋮ Some local questions for hyperbolic systems with non-regular time dependent coefficients ⋮ \(L^2\) well-posed Cauchy problems and symmetrizability of first order systems ⋮ DIFFRACTION OF BLOCH WAVE PACKETS FOR MAXWELL'S EQUATIONS ⋮ Precise finite speed and uniqueness in the Cauchy problem for symmetrizable hyperbolic systems

Cites Work

• A fixed grid method for capturing the motion of self-intersecting wavefronts and related PDEs
• A new Eulerian method for the computation of propagating short acoustic and electromagnetic pulses.
• Linear hyperbolic partial differential equation with constant coefficients
• Fast-phase space computation of multiple arrivals
• Systems of Conservation Equations with a Convex Extension
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