# Homework Help: Simple PDE argument

1. Apr 5, 2010

### isison

[PLAIN]http://img146.imageshack.us/img146/331/capturexz.jpg[b]1. [Broken] The problem statement, all variables and given/known data[/b]

2. Relevant equations

N/A

3. The attempt at a solution

Well, I think I've solved it, but I just want to share my thoughts to verify it's right. Here's my argument:

I think it's possible, only if u in entire $$\Omega$$$$_{2}$$\$$\Omega$$ is a constant equal to 2.

I think the key thing in this question apart from the maximum principles is to believe u doesn't have to be continous all the time, and if discontinouity is allowed at the boundary $$\partial$$$$\Omega$$, then u indeed can be a constant equal to 2.

What do you guys think?
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

Last edited by a moderator: May 4, 2017