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Differential Analysis II: Partial Differential Equations and Fourier Analysis

Massachusetts Institute of TechnologyUnited States18.156
Free, no sign-up neededSpring 2025English
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In this course, we study elliptic Partial Differential Equations (PDEs) with variable coefficients building up to the minimal surface equation. Then we study Fourier and harmonic analysis, emphasizing applications of Fourier analysis. We will see some applications in combinatorics / number theory, like the Gauss circle problem, but mostly focus on applications in PDE, like the Calderon-Zygmund inequality for the Laplacian, and the Strichartz inequality for the Schrodinger equation.

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