On Green’s function of Cauchy–Dirichlet problem for hyperbolic equation in a quarter plane

Abstract

Abstract The definition of a Green’s function of a Cauchy–Dirichlet problem for the hyperbolic equation in a quarter plane is given. Its existence and uniqueness have been proven. Representation of the Green’s function is given. It is shown that the Green’s function can be represented by the Riemann–Green function.

Keywords

• Hyperbolic equation
• Initial-boundary value problem
• Boundary condition
• Green function