Boundary Value Problems.

Catalog description

Theory and methods used to analyze linear and nonlinear boundary value problems within both classical and modern frameworks. Emphasis is placed on functional analytic techniques, including Sobolev spaces and weak formulations, to establish existence, uniqueness, and regularity results. Advanced topics such as Sturm–Liouville theory, Green’s functions, variational methods, spectral theory, and the treatment of singular and nonlinear problems will be examined. FA2, 8-wk, Asynchronous.