The Lipschitz condition...
... means pratically that in all D is...
... i.e. the partial derivative of f(*,*) respect to y is bounded in all D. In this case is and the partial derivative respect to y is umbounded...
Kind regards
Does the function F(x,y) = xy^(1/3) satisfy a Lipschitz condition on the rectangle {(x,y) : |x|≤h, |y|≤k}?
I understand a function being Lipschitz to mean that there exists a positive constant A such that:
|f(x,y_1) - f(x,y_2)| < A|y_1 - y_2|
I have no idea how to find A though.
Thanks!