Associated distributions for a semilinear hyperbolic problem with singular coefficients

DOI10.1080/10652460802567475zbMath1173.35580arXivmath/0409229OpenAlexW1971764272MaRDI QIDQ3619801

I. Ya. Kmit'

Publication date: 9 April 2009

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409229

zbMATH Keywords

hyperbolic problemssingular coefficientsnon-Lipschitz nonlinearitiesassociated distributions

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Initial-boundary value problems for first-order hyperbolic systems (35L50) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Cites Work

• Weak limits of solutions to semilinear hyperbolic systems
• Nonlinear superposition and absorption of delta waves in one space dimension
• On a hyperbolic system with a compatible quadratic
• Reflection of delta-waves for nonlinear wave equations in one space variable
• Delta-waves for Semilinear Hyperbolic Cauchy Problems
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