Talk

Approximating W2,2 isometric immersions

  • Peter Hornung (Universität Duisburg-Essen)
A3 01 (Sophus-Lie room)

Abstract

Let SR2 be a bounded Lipschitz domain and set Wiso2,2(S;R3)={uW2,2(S;R3):(u)T(u)=Id  a.e.}. Under an additional regularity condition on the boundary S (which is satisfied if it is piecewise continuously differentiable) we prove that the W2,2 closure of Wiso2,2(S;R3)C(S¯;R3) agrees with Wiso2,2(S;R3).