Boundedness of planar jump discontinuities for homogeneous hyperbolic systems

DOI10.1142/S0219891621500168zbMath1481.35267arXiv1901.03997OpenAlexW3215885413WikidataQ115245160 ScholiaQ115245160MaRDI QIDQ5024429

Jeffrey Rauch

Publication date: 31 January 2022

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

Full work available at URL: https://arxiv.org/abs/1901.03997

zbMATH Keywords

growthdispersionhyperbolic systempiecewise smooth solutionssup norm bounds

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Initial-boundary value problems for first-order hyperbolic systems (35L50) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The analysis of linear partial differential operators. III: Pseudo-differential operators
• Diffractive short pulse asymptotics for nonlinear wave equations
• The linear diffractive pulse equation
• Comportement d'un opérateur pseudo-différentiel sur une variété à bord. I: La propriété de transmission, II: Pseudo-noyaux de Poisson
• THE PROPAGATION OF DISCONTINUITIES IN WAVE MOTION
• Short Pulses Approximations in Dispersive Media
• Classical conormal solution of semilinear systems
• Diffractive nonlinear geometric optics with rectification
• A General Framework for Diffractive Optics and Its Applications to Lasers with Large Spectrums and Short Pulses
• Diffractive Nonlinear Geometric Optics for Short Pulses
• NONLINEAR ASYMPTOTICS FOR HYPERBOLIC INTERNAL WAVES OF SMALL WIDTH
• Nonlinear geometrical optics for oscillatory wave trains with a continuous oscillatory spectrum.