MA406
Partial Differential Equations II (Partial Differential Eqns II)
0.5 Credit
Hours per week:
- Lecture/Discussion: 3
Canonical forms of linear second order PDEs. Ill-posed and well-posed problems. General framework for linear PDEs: self-adjoint and positive definite linear operators, minimization principle, Rayleigh quotient, Eigenfunction series. Green’s functions in the planar case; delta-function in higher dimensions. Introduction to numerical methods for PDEs.Additional topics may include: Weak solutions. Linear and nonlinear evolution equations, linearization and stability. Heat and forced heat equations, maximum principle. Nonlinear diffusion. Dispersion and solitons.
