Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 10.54216/GJSMA https://www.americaspg.com/journals/show/1552 2022 2022 A Note on the Uniqueness and Existence of the Solution to the Problem of Boundary Values for Some Partial Differential Equations of Second Order Faculty Of Science, Beirut Arab University, Beirut, Lebanon Josef Al Jumayel 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. 2023 2023 08 16 10.54216/GJMSA.030201 https://www.americaspg.com/articleinfo/33/show/1552