Hello!

Attachment 30093

How can I find out the max and min of u(x,y)?

I don't know how to use the maximum principle in this case.

Thank you! :)

Printable View

- January 27th 2014, 07:29 AMely_enPDE
Hello!

Attachment 30093

How can I find out the max and min of u(x,y)?

I don't know how to use the maximum principle in this case.

Thank you! :) - February 20th 2014, 04:52 PMryotigerRe: PDE
Hi

In the case of your problem ($\Delta u=0$ and $\Omega$ bounded), the (weak) principle maximum says that the function $u$ reaches his maximum (resp. his minimum) on the boundary of the domain $\Omega$. So the maximum and the minimum of the solution $u$ of your problem is relatively simple to find.