×

Non-homogeneous linear symmetric hyperbolic systems with characteristic boundary. (English) Zbl 1212.35293

Summary: 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.

MSC:

35L50 Initial-boundary value problems for first-order hyperbolic systems
35L40 First-order hyperbolic systems
35L45 Initial value problems for first-order hyperbolic systems
PDFBibTeX XMLCite