Lecture 6.3: Dirichlet BVP for Laplace equation - Green's function and Poisson's formula

preview_player
Показать описание
The notion of Green's function for Laplace equation is introduced whereby a solution for a Dirichlet problem for Laplace on a domain may be obtained. This representation is called Poisson's formula. With the help of Poisson's formula, we shall prove two far-reaching properties of harmonic functions, namely, Harnack's inequality and Liouville's Theorem.
  1. NPTEL IIT Bombay
  2. Green's function
  3. Poisson's formula
  4. Harnack's inequality
  5. Liouville's theorem
Рекомендации по теме
Separation of Variables 0:34:22

Separation of Variables I: Dirichlet Boundaries - Partial Differential Equations | Lecture 6

Lecture 6.5: Laplace 0:28:37

Lecture 6.5: Laplace equation - Dirichlet BVP on a disk in ℝ2 for Laplace equations

Lecture 6:9: Laplace 0:31:26

Lecture 6:9: Laplace equation- Strong Maximum Principle and Dirichlet Principle

V9-9: Laplace Equation 0:21:46

V9-9: Laplace Equation in rectangle, Dirichlet boundary conditions, derivation of formal solution.

Partial Differential Equation 0:39:45

Partial Differential Equation with Dirichlet Boundary Conditions (With Example)

11.06. Dirichlet Boundary 0:16:58

11.06. Dirichlet Boundary Conditions; The Final Matrix Vector Equations

Lecture 14 Part 0:05:24

Lecture 14 Part 4: Demo -- nontrivial Dirichlet boundary condition

Dirichlet Boundary Conditions 0:21:24

Dirichlet Boundary Conditions — Lesson 8 — Part 1

Boundary Conditions for 0:06:07

Boundary Conditions for Parabolic PDEs Dirichlet and Neumann BCs

Lecture 6:10: Tutorial 0:38:25

Lecture 6:10: Tutorial 2 on Laplace equation

Finite element with 0:07:26

Finite element with nonzero Dirichlet boundary condition

06 Dirichlet Problem 0:16:46

06 Dirichlet Problem

Dirichlet Boundary Conditions 0:14:00

Dirichlet Boundary Conditions — Lesson 8 — Part 1

10.15 Dirichlet Boundary 0:21:24

10.15 Dirichlet Boundary Conditions (Part 1)

Lecture 6:6: Tutorial 0:42:41

Lecture 6:6: Tutorial 1 on Laplace equation

ch11 3. Laplace 0:03:54

ch11 3. Laplace equation with non-homogeneous Dirichlet BCs. Wen Shen

Differential Equations, Lecture 0:39:56

Differential Equations, Lecture 6.6: Boundary value problems

(PDE) Lecture 5: 0:04:24

(PDE) Lecture 5: Boundary conditions | Dirichlet B.C | Neumann B.C. | Robin B.C.

Lecture 6:8: Laplace 0:17:54

Lecture 6:8: Laplace equation- More qualitative properties

Lecture 6.4: Laplace 0:19:46

Lecture 6.4: Laplace equation - Weak maximum principle and its applications

mod07lec67 - The 0:28:50

mod07lec67 - The Laplace Equation: Dirichlet and Neumann boundary conditions

Lecture 8 (3 0:14:03

Lecture 8 (3 of 6) - Finite Potential Boundary Conditions

Week 2-Lecture 6 0:42:33

Week 2-Lecture 6 : Revisiting EM Concepts: Electrostatic Boundary Conditions and Shielding

Lecture 04 Part 0:14:31

Lecture 04 Part 6: Nonzero Boundary Condition, 2016 Numerical Methods for PDE

Комментарии
Автор

It is advisable to mention book or books from which content is taken.

manjit-