Mixed Problem with an Integral Two-Space-Variables Condition for a Class of Hyperbolic Equations

Abstract EN

This paper is devoted to the proof of the existence and uniqueness of the classical solution of mixed problems which combine Neumann condition and integral two-space-variables condition for a class of hyperbolic equations.

The proof is based on a priori estimate “energy inequality” and the density of the range of the operator generated by the problem considered.