S. Kharibegashvili

On the Correct Formulation of Some Boundary Value Problems for Symmetric Hyperbolic Systems of First Order in a Dihedral Angle

abstract:
For one class of symmetric hyperbolic systems of first order we study some boundary value problems in a dihedral angle none of whose faces meets an exterior cone of rays. To this class of systems belong Maxwell and Dirac equations, equations of crystal optics and also some other systems of equations of the mathematical physics.

Mathematics Subject Classification: 35L50.

Key words and phrases: Symmetric hyperbolic systems, boundary value problems, dihedral angle, Maxwell and Dirac systems of crystal optics.