Wave Equations and Symmetric First-order Systems in Case of Low Regularity
DOI10.1007/978-3-0348-0585-8_15zbMath1276.46035arXiv1202.0406OpenAlexW1547363499MaRDI QIDQ4914478
Günther Hörmann, Roland Steinbauer, Christian Spreitzer, Clemens Hanel
Publication date: 12 April 2013
Published in: Pseudo-Differential Operators, Generalized Functions and Asymptotics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1202.0406
PDEs in connection with relativity and gravitational theory (35Q75) Weak solutions to PDEs (35D30) Initial value problems for first-order hyperbolic systems (35L45) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)
Related Items (1)
Cites Work
- The Cauchy problem for Schrödinger-type partial differential operators with generalized functions in the principal part and as data
- Symmetric hyperbolic systems in algebras of generalized functions and distributional limits
- Hyperbolic systems with discontinuous coefficients: Generalized solutions and a transmission problem in acoustics
- Generalized solutions to symmetric hyperbolic systems with discontinuous coefficients: The multidimensional case
- First-order hyperbolic pseudodifferential equations with generalized symbols
- Definition and stability of Lorentzian manifolds with distributional curvature
- The wave equation on singular space-times
- Topological structures in Colombeau algebras: Topological \(\widetilde{\mathbb C}\)-modules and duality theory
- Wave-type equations of low regularity
- On a hyperbolic system with a compatible quadratic
- On Lorentz geometry in algebras of generalized functions
- Hyperbolic Systems with Discontinuous Coefficients: Generalized Wavefront Sets
- On the Geroch–Traschen class of metrics
- Characterization of colombeau generalized functions by their pointvalues
- Generalized hyperbolicity in singular spacetimes
- Wave Equations on Non-smooth Space-times
- Generalized hyperbolicity in conical spacetimes
- Symmetrisers and generalised solutions for strictly hyperbolic systems with singular coefficients
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Wave Equations and Symmetric First-order Systems in Case of Low Regularity