S. Kharibegashvili

On the solvability of some boundary value problems symmetric first order hyperbolic systems in a dihedral angle

abstract:
The paper suggests an approach, which makes it possible to state well-posed characteristic problems in dihedral angles for a class of symmetric first order hyperbolic systems. That class involves the systems of differential equations of Maxwell, Dirac, and crystal optics for which well-posed characteristic problems in dihedral angles are presented.

Mathematics Subject Classification: 35L50.

Key words and phrases: Symmetric hyperbolic systems, characteristic problems, dihedral angle, Maxwell, Dirac, crystal-optics systems.