Browsing by Subject "Hardy inequality"
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Schrödinger operators with boundary singularities: Hardy inequality, Pohozaev identity and controllability results
(Journal of Functional Analysis, 20121231)The aim of this paper is two folded. Firstly, we study the validity of a Pohozaevtype identity for the Schrödinger operator A λ:=δλ/x 2, λ∈R, in the situation where the origin is located on the boundary of a smooth ... 
SelfAdjoint Extensions for the Dirac Operator with CoulombType Spherically Symmetric Potentials
(Letters in Mathematical Physics, 2018)We describe the selfadjoint realizations of the operator $H:=i\alpha\cdot \nabla + m\beta + \mathbb V(x)$, for $m\in\mathbb R $, and $\mathbb V(x)= x^{1} ( \nu \mathbb{I}_4 +\mu \beta i \lambda \alpha\cdot{x}/{x}\,\beta)$, ... 
The asymptotic behaviour of the heat equation in a twisted DirichletNeumann waveguide
(Journal of Differential Equations, 20111231)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, 20101231)We show that a twist of a threedimensional tube of uniform crosssection yields an improved decay rate for the heat semigroup associated with the Dirichlet Laplacian in the tube. The proof employs Hardy inequalities for ...