Fourier Analysis and Partial Differential Equations
We begin with Fourier series, examining their properties and essential results, including best square approximation, the Dirichlet kernel, convolutions, and convergence. These concepts are applied to solve key PDEs, such as the Laplace, heat, and wave equations. We then introduce the Fourier transform, a powerful tool for tackling PDEs in higher dimensions without the requirement of periodicity. Key foundational results are established, including the Fourier inversion formula, Plancherel's theorem, and the approximation of identity in
Lecturer
Date
9th October ~ 18th December, 2024
Location
Weekday | Time | Venue | Online | ID | Password |
---|---|---|---|---|---|
Wednesday | 19:20 - 20:55 | A14-201 | Zoom 17 | 442 374 5045 | BIMSA |
Audience
Undergraduate
, Advanced Undergraduate
, Graduate
, Postdoc
, Researcher
Video Public
No
Notes Public
No
Language
English