- #1

- 76

- 0

## Homework Statement

Let [tex] K = \{ (x,y) | -1<x<1 , -1<y<1 \}[/tex] . Find the unique soloution of dirichlet problem:

[tex]\Delta u(x,y) =0 [/tex] , [tex] (x,y) \in K [/tex] ,

[tex] u(x,y) = |x+y| [/tex] , [tex](x,y) \in \partial K [/tex] .

## Homework Equations

## The Attempt at a Solution

We need to guess a soloution and not use seperation of variables!

in this particular homework assignment the next harominc functions appear:

[tex]1,x,y,xy, x^2-y^2 ,xye^{x^2-y^2-1} [/tex] ... maybe one of them should be in the soloution function...but none of them solve our equation...

Hope you'll be able to help me!

Thanks !