I have a vector valued function $U(x,y)=\Big(u_{1}(x,y),u_{2}(x,y)\Big)$. I want to find $\|\nabla U\|_{L_{2}(0,1)}$, but i could not figure how can do it. Do you have any idea?
$L_{2}$ norm of the gradient of a vector valued function.
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functions
multivariable-calculus
norm
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0Do you mean divergence of $U$? I don't know how you take the gradient of a vector-valued function. – 2012-08-04
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0as i know gradient(U(x,y))=jacobi($u_{1},u_{2}$) – 2012-08-04
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0@Brhn What is the context of the problem? Is there any more information you can provide? – 2012-08-04