Partial differential equations, lecture notes

Neta B.

This section is devoted to basic concepts in partial differential equations. We start the chapter with definitions so that we are all clear when a term like linear partial differential equation (PDE) or second order PDE is mentioned. After that we give a list of physical problems that can be modelled as PDEs. An example of each class (parabolic, hyperbolic andelliptic) will be derived in some detail. Several possible boundary conditions are discussed.