chapter  5
24 Pages

Plate Weakened by a Crack

We denote by 7r*, i = 0,1, the restriction operators from dS to dSo and

If u is defined in il, then we write

where u± are the restrictions of u to S ± . We denote by Hi^(Q) the space of vector functions u = (u+,u - )

such that

We point out that, as dSo models a crack, in general

Let be the subspace of H li0J(Q) consisting of all u such that

We now discuss an auxiliary assertion, formulated in [8]. The authors are indebted to I. Chueshov, who communicated its proof to them.