A general converse theorem for mean-value theorems in linear elasticity
Dorina Mitrea, Heather Rosenblatt · Mathematical Methods in the Applied Sciences · 2006
We prove a rather general mean-value formula in the theory of elasticity, which expresses the value of the displacement at the centre of a sphere in terms of certain combinations of integral averages over the sphere itself of the traction and the displacement. We also establish the corresponding converse to this mean-value formula under minimal smoothness assumptions on the displacement. Copyright © 2006 John Wiley & Sons, Ltd.