Flow properties for Young-measure solutions of semilinear hyperbolic problems
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Publication:4243032
DOI10.1017/S0308210500027487zbMath0924.35076MaRDI QIDQ4243032
Publication date: 4 November 1999
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45)
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Cites Work
- Unnamed Item
- Young-measure solutions for a viscoelastically damped wave equation with nonmonotone stress-strain relation
- Dynamics of labyrinthine pattern formation in magnetic fluids: A mean-field theory
- Measure-valued solutions to conservation laws
- Trilinear compensated compactness and nonlinear geometric optics
- Resonant one dimensional nonlinear geometric optics
- Ein Existenzbeweis für die Vlasov-Gleichung der Stellardynamik bei gemittelter Dichte
- H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations
- Microlocal defect measures
- The initial‐value problem for measure‐valued solutions of a canonical 2 × 2 system with linearly degenerate fields
- Young Measure Solutions for a Nonlinear Parabolic Equation of Forward-Backward Type