2 papers
math.SP2023
On the isoperimetric and isodiametric inequalities and the minimisation of eigenvalues of the Laplacian
Sam Farrington
We consider the problem of minimising the -th eigenvalue of the Laplacian with some prescribed boundary condition over collections of convex domains of prescribed perimeter or d…
math.AP2022
Heat flow in polygons with reflecting edges
Sam Farrington, Katie Gittins
We investigate the heat flow in an open, bounded set in with polygonal boundary . We suppose that contains an open, bounded set w…