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Q87Section II (Mathematics)87 of 180

The variational form of Poisson's equation

The Euler Lagrange equation associated with the functional I(w)=12∫u∣Dw∣2dx+∫ufw dxI(w)=\dfrac12\int_u|Dw|^2dx+\int_ufw\,dx where uu is an open set is:

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