Wave-type equations of low regularity

DOI10.1080/00036811.2010.495340zbMath1228.35247arXiv1011.4108OpenAlexW3100472372WikidataQ58287486 ScholiaQ58287486MaRDI QIDQ3096908

Clemens Hanel

Publication date: 15 November 2011

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.4108

zbMATH Keywords

Colombeau generalized functionsgeneralized functions on manifoldsnormally hyperbolic PDEs

Mathematics Subject Classification ID

Wave equation (35L05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Space-time singularities, cosmic censorship, etc. (83C75) PDEs in connection with relativity and gravitational theory (35Q75) Initial value problems for second-order hyperbolic equations (35L15) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Related Items (1)

Wave Equations and Symmetric First-order Systems in Case of Low Regularity

Cites Work

• Foundations of a nonlinear distributional geometry
• Hölder--Zygmund regularity in algebras of generalized functions
• The wave equation on singular space-times
• Generalized pseudo-Riemannian geometry
• On Lorentz geometry in algebras of generalized functions
• Generalized hyperbolicity in singular spacetimes
• Generalized hyperbolicity in conical spacetimes
• Notes on regularity results in Colombeau algebras

This page was built for publication: Wave-type equations of low regularity