Come and join speaker Dr. Baili Chen, Assistant Professor of Mathematics and Computer Science at Gustavus Adolphus College on Wednesday, December 1 at 12:30PM in Olin 321 as she discusses Quasilinear Parabolic Equations with Nonlocal Boundary Conditions
Abstract: We are concerned with the existence of a generalized solution of certain quasilinear parabolic equations with nonlocal boundary conditions. The main difficulty of this problem is related to the presence of both quasilinear terms and nonlocal boundary conditions. Literature for these types of problems is very limited. The quasilinear terms makes it difficult to apply classical methods like semi-group method or method of upper and lower solutions. However, we found that Faedo-Galerkin method serves as a convenient tool for this type of problem. We proved the existence of a generalized solution of this problem by constructing approximate solutions using Faedo-Galerkin method and applying weak convergence and compactness arguments.
Pizza & pop will be served at 12:15PM in Olin 3rd floor lobby.