2 papers
math.AP2024
Hadamard's variational formula for simple eigenvalues
Takashi Suzuki, Takuya Tsuchiya
We study Hadamard's variational formula for simple eigenvalues under dynamical and conformal deformations. Particularly, harmonic convexity of the first eigenvalue of the Laplacian…
math.SP2024
Hadamard variation of eigenvalues with respect to general domain perturbations
Takashi Suzuki, Takuya Tsuchiya
We study Hadamard variation of eigenvalues of Laplacian with respect to general domain perturbations. We show their existence up to the second order rigorously and characterize the…