Functional Analysis and Partial Differential Equations

Research in the solvability of partial differential equations (PDE’s) leads us to a much wider scope. In the realization that alternative methods can be used for proving the existence and uniqueness of solutions of linear and nonlinear PDE’s, a new research area in Applied Mathematics was introduced. The theory of Sobolev spaces was developed, which turned out to be a suitable setting in which to apply ideas of functional analysis to glean information concerning PDE’s. But this research area is not developed well in Mongolia and there are many Ph.D (also post-Doc) students (large number of them are women) in our country are still facing issues concerning functional analysis. This is the main reason why we are keen on organizing the school in this research area.