Now showing items 1-3 of 3
Schrödinger operators with boundary singularities: Hardy inequality, Pohozaev identity and controllability results
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
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
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 ...