6.9 Dirichlet Problem for the Upper Half-Plane

6.9 Dirichlet Problem for the Upper Half-Plane Consider the following problem: We solved this problem by Fourier Transform: Goal We will solve this problem again by Fourier Integral:

6.9 Dirichlet Problem for the Upper Half-Plane Goal Consider the following problem: We will solve this problem again by Fourier Integral: We looking for a bounded solution. The Fourier Integral representation of f Fourier integral coefficients of f

6.9 Dirichlet Problem for the Upper Half-Plane Consider the following problem:

6.9 Dirichlet Problem for the Upper Half-Plane Consider the following problem: To satisfy the boundary condition we must generally superimpose these conditions over all w >= 0. this is done by integration Fourier Integral expansion of f Boundary condition

6.9 Dirichlet Problem for the Upper Half-Plane Fourier Integral expansion of f Consider the following problem:

6.9 Dirichlet Problem for the Upper Half-Plane Ex5/p279 In each Problem obtain the solution of the Dirichlet problem for the upper half-plane, using the given f(x).

6.9 Dirichlet Problem for the Upper Half-Plane

6.9 Dirichlet Problem for the Upper Half-Plane

Presentation Transcript

Motion in a Plane Physics Problem

6.9 Continued

Monday 6.9.

6.9

Upper Canada and the Problem with Land

Cloning 6.9

Upper Canada and the Problem with Land

Peter G.L. Dirichlet

Dirichlet :

Dirichlet process tutorial

Mathematics Upper Primary Problem Solving

Image method for the Green’s functions of annulus and half-plane Laplace problems

6.9

Problem Design for Upper Level Math Courses

Upper half-body Lock Multiplier Lower half-body

Latent Dirichlet Allocation

Green’s function of half-plane problem subject to impedance boundary conditions

12.1 The Dirichlet conditions:

Tessellating Polyominoes for the Plane

6.9

The Nested Dirichlet Process

Fig. 6.9