Course Details
Country:
Spain
Institution:
Universidad Carlos III de Madrid
Course Title:
Partial differential equations
Course Number:
18277
Course Description:
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.
Language:
English
Approved Equivalent:
Pending For Approval
Course URL:
https://aplicaciones.uc3m.es/cpa/cpa/generaFichaPDF?ano=2024&plan=433&asignatura=18277&idioma=2
Attachment Files:
