Now showing items 1-3 of 3
Schrödinger operators with boundary singularities: Hardy inequality, Pohozaev identity and controllability results
(Journal of Functional Analysis, 2012-12-31)
The aim of this paper is two folded. Firstly, we study the validity of a Pohozaev-type identity for the Schrödinger operator A λ:=-δ-λ/|x| 2, λ∈R, in the situation where the origin is located on the boundary of a smooth ...
The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide
(Journal of Differential Equations, 2011-12-31)
We consider the heat equation in a straight strip, subject to a combination of Dirichlet and Neumann boundary conditions. We show that a switch of the respective boundary conditions leads to an improvement of the decay ...
The Hardy inequality and the heat equation in twisted tubes
(Journal des Mathematiques Pures et Appliquees, 2010-12-31)
We show that a twist of a three-dimensional tube of uniform cross-section yields an improved decay rate for the heat semigroup associated with the Dirichlet Laplacian in the tube. The proof employs Hardy inequalities for ...