- #1
Mechmathian
- 35
- 0
We look at a Laplace equation ([tex]\Delta u(x, y)=0)[/tex] ) on a square [0, 1]* [0, 1]
If we know that [tex]u|_{x = 0}[/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.
If we know that [tex]u|_{x = 0}[/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.