- #1
Kalidor
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Homework Statement
Let [tex] B_R = \{ x \in \mathbb{R}^n: |x| < R \}. [/tex] Calculate the solution of the following Dirichlet problem:
[tex] -\Delta v = 1 [/tex] in [tex] B_R [/tex]
[tex] u = 0 [/tex] on [tex] \partial B_R [/tex]
Calculate the solution of the problem.
Homework Equations
The Attempt at a Solution
I know that the solution must be radial for trivial considerations on the invariance of laplacian under orthogonal transformations and the uniqueness of the solution.
I thought about integrating a Green function for the problem, but what Green function?
There must be an easier way I'm missing.