(adsbygoogle = window.adsbygoogle || []).push({}); 1. We look at a Laplace equation ( [tex]\Delta u(x,y) =o[/tex]) on a square [0, 1]* [0, 1]

If we know that [tex]u_{x=o}[/tex]= siny , [tex]u_{x=1}[/tex]= cosy

[tex]u_y|_{y=0}[/tex]= 0 , [tex]u_y|_{y=1}[/tex]= 0 we differentiate here by y. proove that |u|<=1.

3. The attempt at a solution

We now know that the maximum of u has to be on the boundary. If it is greater then one, then it has to be on either y=0 or y =1.

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# Homework Help: PDE problem

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