ANCSA Corporation Lands and the Dependent Indian Community Category of Indian Country

The demand for increased efficiency and patient-centered care has been influencing the development of healthcare in Sweden, and information technology has an important role in that process. Developing and implementing systems for public healthcare have proven to be a great challenge. One way to address this challenge is open innovation and co-creation. While there are a lot of studies focusing on innovation processes, there is little research regarding how technology is presented in the results. We have studied a co-creational workshop that focused on putting new perspectives on the use of information technology in healthcare. The workshop resulted in eight concepts which have been analyzed in terms of how technology is expressed. The results were categorized into implicit and explicit use of technology and this categorization indicates that the implicit use of technology is of the bricolage kind. By being both implicit and bricolage-like, the concepts hold qualities that make them more likely to be integrated into existing workplaces

Endpoint resolvent estimates for compact Riemannian manifolds

We prove $L^p\to L^{p'}$ bounds for the resolvent of the Laplace-Beltrami operator on a compact Riemannian manifold of dimension $n$ in the endpoint case $p=2(n+1)/(n+3)$. It has the same behavior with respect to the spectral parameter $z$ as its Euclidean analogue, due to Kenig-Ruiz-Sogge, provided a parabolic neighborhood of the positive half-line is removed. This is region is optimal, for instance, in the case of a sphere.Comment: 14 page

Friedrichs Extension and Min-Max Principle for Operators with a Gap

Semibounded symmetric operators have a distinguished self-adjoint extension, the Friedrichs extension. The eigenvalues of the Friedrichs extension are given by a variational principle that involves only the domain of the symmetric operator. Although Dirac operators describing relativistic particles are not semibounded, the Dirac operator with Coulomb potential is known to have a distinguished extension. Similarly, for Dirac-type operators on manifolds with a boundary a distinguished self-adjoint extension is characterised by the Atiyah--Patodi--Singer boundary condition. In this paper we relate these extensions to a generalisation of the Friedrichs extension to the setting of operators satisfying a gap condition. In addition we prove, in the general setting, that the eigenvalues of this extension are also given by a variational principle that involves only the domain of the symmetric operator.Comment: 29 pages; revised version with additional Section 4 on Atiyah--Patodi--Singer boundary condition

Controversial Issues in the Context of Open Access

Open Acces