Distribution theory

Related lectures (31)

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Covers the theoretical study of Elliptic Partial Differential Equations, including classical and weak solutions.

Explores the classification of PDEs into linear, semi-linear, and quasi-linear types, emphasizing the properties of their solutions.

Explores Fourier analysis, PDEs, historical context, heat equation, Laplace equation, and periodic boundary conditions.

Covers the basics of Partial Differential Equations, including the Laplace equation, heat equation, and wave equation.

Covers numerical methods for solving boundary value problems, including applications with the Fast Fourier transform (FFT) and de-noising data.

Covers the basics of Partial Differential Equations, including well-posedness, operators, and classification of physical PDEs.

Explores the application of Fourier transform to PDEs and boundary conditions.

Explores optimal transport, gradient flows, the implicit Euler scheme, and the heat equation in the context of Dirichlet energy functional.

Explores linear partial differential equations, elliptic PDEs, Laplace equation, boundary conditions, and classical solutions.

Discusses distributions, the Laplace transform, and their applications in mathematical analysis.