MAT1012 PARTIAL DIFFERENTIAL EQUATIONS_ PhD

The module aims to describe advanced methods of solving partial Differential Equations (PDEs). It gives a thorough advanced form of representation formulas for solutions of PDEs. The important existence and uniqueness theorems are proved. The properties of solutions (e.g., regularity, dependence on data, etc ) are analysed.The module also describes the theory for Linear LPartial Differential Equations (LPDEs) and the theory for Nonlinear partial Differential Equations (NLPDEs)