Get up to $1,000 in flight credits or grants toward study or internship programs abroad when you apply by September 12, 2024. See our Official Rules for full details.
1. Introduction to PDEs. First concepts. Fundamental equations. 2. Fourier series. Motivation. Convergence and regularity of Fourier series. Sturm-Liouville problems. Generalized Fourier series. The Fourier transform. 3. Elliptic equations. Laplace equation. Properties of harmonic functions. Poisson equation . Green representation. Green function in different domains. Eigenvalue problem. 4. Parabolic equations. Heat equation in bounded domains. Green representation. Heat equation in the whole space. Gauss kernel. Selfsimilarity. 5. Hyperbolic equations. Wave equation in bounded domains. Resonance. Green representation. Wave equation in the line. D'Alembert formula. Wave propagation in dimensions 3 and 2, Green function. Huygens principle.
Get a Flight Credit worth up to $1,000 when you apply with code* by September 12, 2024