zbMATH — the first resource for mathematics

The initial boundary value problem for linear symmetric hyperbolic systems with characteristic boundary of constant multiplicity. (English) Zbl 0853.35067
The existence, uniqueness and regularity of the solution of a linear symmetric hyperbolic system are proved in suitable function spaces, which take into account the loss of regularity in the normal direction to the characteristic boundary. The paper is a reduced version of the author’s preprint of the same title.

35L50 Initial-boundary value problems for first-order hyperbolic systems
35B65 Smoothness and regularity of solutions to PDEs
35A05 General existence and uniqueness theorems (PDE) (MSC2000)