A Note on the Uniqueness and Existence of the Solution to the Problem of Boundary Values for Some Partial Differential Equations of Second Order

Abstract

Most physical mathematical problems, when solved, turn into one or more partial differential equations with imposed initial conditions or boundary conditions . This is known as the boundary value problems of differential equations .This research studies the solution of the set of Partial Differential Equations of parabolic and hyperbolic-hyperbolic type with boundary conditions imposed in different regions of the plane x o y This research has been proving the theorem of uniqueness and the existence of the solution.