Partial differential equations as physical models. Introduction to basic generalized functions. Theory of linear and quasi-linear first-order equations, fully nonlinear first order equations, Hamilton-Jacobi equation and its applications, and second order linear equations in n dimensions including classification, canonical form, and initial/boundary value problems.
Partial differential equations as physical models. Introduction to basic generalized functions. Theory of linear and quasi-linear first-order equations, fully nonlinear first order equations, Hamilton-Jacobi equation and its applications, and second order linear equations in n dimensions including classification, canonical form, and initial/boundary value problems.
