Existence and uniqueness of BV solutions for a conservation law with \(\sigma\)-finite Borel measures as initial conditions
From MaRDI portal
Publication:1265119
DOI10.1006/jdeq.1998.3412zbMath0921.35105OpenAlexW2042998474MaRDI QIDQ1265119
Publication date: 6 October 1998
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.1998.3412
Hyperbolic conservation laws (35L65) PDEs with low regular coefficients and/or low regular data (35R05) Initial value problems for first-order hyperbolic systems (35L45)
Related Items
BV solutions for the Cauchy problem of a quasilinear hyperbolic equation with \(\sigma\)-finite Borel measure and nonlinear source, Existence and uniqueness for a quasilinear hyperbolic equation with \(\sigma\)-finite Borel measures as initial conditions
Cites Work
- Compressible fluid flow and systems of conservation laws in several space variables
- Source-solutions and asymptotic behavior in conservation laws
- Convergence of approximate solutions to conservation laws
- Regularizing effects for \(u_ t\) + A phi(u) = 0 in \(L^ 1\).
- Cauchy's problem for non-linear hyperbolic differential equations in two independent variables
- Cauchy's problem for hyperbolic quasi-linear systems of first order partial differential equations in two independent variables
- Monotone Difference Approximations for Scalar Conservation Laws
- Numerical viscosity and the entropy condition
- Singular solutions and asymptotic behaviour for a class of conservation laws with absorption
- Shock Waves on the Highway
- Global solutions of the cauchy problem for quasi‐linear first‐order equations in several space variables
- Solutions in the large for nonlinear hyperbolic systems of equations
- FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
- On kinematic waves II. A theory of traffic flow on long crowded roads
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
