Let given a $ C^2(\bar{\Omega}) $ function $$u(r)=\int_{\Omega}(\nabla f).(\nabla g))dv$$ Then how to find $ \nabla^2 u(r)? $ Can i pass the Laplace operator inside the integral? If so how could I do too? Any hint?
2026-03-27 07:35:36.1774596936
The divergence of gradient of an integral
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