P000011
Continuity and Differentiability of Eigenvalues of Laplacian with respect to Domain Perturbations
*Takuya Tsuchiya (Osaka University)
Suppose that a bounded Lipschitz domain is smoothly perturbed. Then the eigenvalues of Laplacian are supposedly perturbed smoothly as well. In this talk we present the results on the continuity and differentiability of such eigenvalues.