Partial Differential Equations
Problems in physics are in general modelled in terms of PDEs such as the wave equation, the diffusion equation, and the Laplace equation. In this course the basic notions for PDEs will be treated, including classification of PDEs, uniqueness of solutions, and well-posedness. The course will focus on analytical methods to solve PDEs, including the method of characteristics, separation of variables, Green’s functions, and Fourier series.
- Partial Differential Equations: An Introduction, Walter A. Strauss, 2nd edition, Wiley, 2008.