An initial-boundary value problem for the evolutionary pde of composite type with the mixed boundary condition

Abstract

An explicit solution of the initlal-boundary vdue problem for the evolutionary PDE of composite type is obtaied outmde a cut In the plant. The Dmc hlet bounday condition is specified on one side of the cut and the oblique derivative Louridary cuuditim containing derivatives in time is given on another aide of the cut. The problem describes propagation of nonsteady internal waves generated by vibrations of a plahe in a stratified.

Keywords:

• boundary value problem
• evolutionary PDE of composit type
• potentual theory