Fundamental Solutions of Laplace Equation

Related lectures (30)

Page 1 of 3

Covers the fundamental solutions of the Laplace equation and introduces distributions.

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

Covers the properties of fundamental solutions and introduces Green's representation formula for solving partial differential equations.

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

Covers distributions, interpolation spaces, convergence, and the concept of dual spaces.

Covers the concept of distributions with compact support and their interpolation spaces.

Explores proof ideas related to the cut-off phenomenon and its implications in random walks on hypercubes.

Covers Green's representation formula, fundamental solutions, and distribution properties.

Explores the Fourier transformation, Parseval relation, weak convergence, and generalized transformations in signals and systems.

Covers probability distributions, moments, and continuous random variables.