In this program
- Sturm–Liouville theory
- Eigenfunction expansions
- Separation of variables for canonical PDEs
- Fourier and Laplace transform methods for PDEs
- Distribution theory for PDEs (introduction)
- Well-posedness for initial-boundary value problems
Spectral and transform methods
Well-posedness for initial-boundary value problems
Advanced differential equations · STEM / applied
Topic
Well-posedness for initial-boundary value problems
Graduate Advanced Differential Equations — scope drawn from open advanced DE / dynamical systems notes and typical US graduate advanced DE syllabi.