I have a question. I have to find, for example, a function $f(s,t)$ of $s,t \in [0;1]$ such that : $f(0,t)=1, f(1,t)=0, f(s,1)=0$, but I don't succeed to find it.
In general, given a function of multivariables and some values at some points, is there a method in order to determine a function which verify the conditions ? If it was in 1 variable, I thought about Lagrange polynomial, but in multivariable case, how to do ?
Thank you !
It is impossible of course.
For $t=1$ you get $f(0,1)=1$, for $s=0$ you get $f(0,1)=0$.