Question: Determine whether or not the following improper integral is convergent of divergent. If it is convergent, find its value

\[I=\iint\limits_{D}{\frac{\ln \left( x \right)\ln \left( y \right)}{{{x}^{2}}{{y}^{2}}}}dA\]

where \(D=[1,\infty )\times [1,\infty )\).