Currently displaying 1 – 4 of 4

Showing per page

Order by Relevance | Title | Year of publication

Asymptotic behaviour and numerical approximation of optimal eigenvalues of the Robin laplacian

Pedro Ricardo Simão AntunesPedro FreitasJames Bernard Kennedy — 2013

ESAIM: Control, Optimisation and Calculus of Variations

We consider the problem of minimising the th-eigenvalue of the Robin Laplacian in R. Although for  = 1,2 and a positive boundary parameter it is known that the minimisers do not depend on , we demonstrate numerically that this will not always be the case and illustrate how the optimiser will depend on . We derive a Wolf–Keller type result for this problem and show that optimal eigenvalues grow at most with , which is in sharp contrast with the Weyl asymptotics for a fixed domain....

Page 1

Download Results (CSV)