Fundamental solution

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Related lectures (13)

Fundamental Solutions of Laplace Equation

Explores fundamental solutions, Green's formula, distributions, and convergence in Laplace equation.

Properties of Fundamental Solutions: Green's Representation Formula

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

Fundamental Solutions of Laplace Equation

Explores fundamental solutions of the Laplace equation and their physical interpretation.

Distribution & Interpolation Spaces

Explores distribution and interpolation spaces, differential operators, Fourier transform, Schwartz space, fundamental solutions, Farrier transform, and uniform continuity.

Fundamental Solutions

Explores fundamental solutions in partial differential equations, highlighting their significance in mathematical applications.

Laplace Equation: Uniqueness and Fundamental Solution

Explores uniqueness results and the fundamental solution of the Laplace equation.

Convolution of Distributions and Differential Equations

Explores the convolution of tempered distributions and solving differential equations using fundamental solutions.

Uniqueness Results for Poisson Equation

Explores uniqueness results for the Poisson equation and harmonic functions with different boundary conditions.

Fundamental Solutions

Covers the concept of fundamental solutions in the context of differential operators.

Fundamental Solutions: ODE

Explores fundamental solutions in ordinary differential equations, discussing their properties and applications in solving ODEs.

Maximum Principle in Harmonic Functions

Explores the maximum principle in harmonic functions and its implications for uniqueness and bounds on solutions.

Fundamental Solutions of Laplace Equation

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

Quantum Probability Basics

Covers the fundamentals of quantum probability and binary linear systems.

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