3 papers
math.SP2001
Log--Sobolev Inequalities and Regions with Exterior Exponential Cusps
C. Mason
We begin by studying semigroup estimates that are more singular than those implied by a Sobolev embedding theorem but which are equivalent to certain logarithmic Sobolev inequaliti…
math.SP2000
Perturbation of Domain: Ordinary Differential Equations
C. Mason
We work with the Friedrichs extension of a one dimensional Schrodinger whose potential has a certain type of regular singularity near one end point. We study the effect on the eige…
math.SP2000
Perturbation of Domain: Singular Riemannian Manifolds
C. Mason
We study a class of Riemannian manifolds which are equipped with a singular metric. In particular we study a domain perturbation problem for the Dirichlet eigenvalues which depends…