Differential and Integral Equations
- Differential Integral Equations
- Volume 19, Number 1 (2006), 51-74.
Non-homogeneous linear symmetric hyperbolic systems with characteristic boundary
In this paper we consider the initial-boundary value problem for linear symmetric hyperbolic systems with non-homogeneous, maximally non-negative and characteristic boundary condition. We prove the existence of regular solutions in suitable functions spaces which take into account the loss of regularity in the normal direction to the characteristic boundary.
Differential Integral Equations, Volume 19, Number 1 (2006), 51-74.
First available in Project Euclid: 21 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35L50: Initial-boundary value problems for first-order hyperbolic systems
Secondary: 35L40: First-order hyperbolic systems 35L45: Initial value problems for first-order hyperbolic systems
Casella, E.; Secchi, P.; Trebeschi, P. Non-homogeneous linear symmetric hyperbolic systems with characteristic boundary. Differential Integral Equations 19 (2006), no. 1, 51--74. https://projecteuclid.org/euclid.die/1356050532