One major application of this classification is that different <boundary conditions> are suitable for different types of <partial differential equations> as explained at: <which boundary conditions lead to existence and uniqueness of a second order PDE>.

Bibliography:
* https://math.stackexchange.com/questions/1090299/why-are-elliptic-parabolic-hyperbolic-pdes-called-elliptic-parabolic-hyperb


Ciro Santilli @cirosantilli 34

 Incoming links: Which boundary conditions lead to existence and uniqueness of a second order PDE