Norm-resolvent convergence with an order-sharp error estimate is established for Neumann Laplacians on thin domains in ℝ, ≥2, converging to metric graphs in the limit of vanishing thickness parameter in the “resonant” case. The...
Norm-resolvent convergence with an order-sharp error estimate is established for Neumann Laplacians on thin domains in ℝ, ≥2, converging to metric graphs in the limit of vanishing thickness parameter in the “resonant” case. The...
The Marchaud fractional derivative can be obtained as a Dirichlet-to–Neumann map via an extension problem to the upper half space. In this paper we prove interior Schauder regularity estimates for a degenerate elliptic...
We consider three problems for the Helmholtz equation in interior and exterior domains in R^d, (d = 2, 3): the exterior Dirichlet-to-Neumann and Neumann-to-Dirichlet problems for outgoing solutions, and the interior...
Written and designed by the Office of Communications and Public Affairs for The Rockefeller University, this publication spotlights pathbreaking research of a few of the university's 75 major laboratories: Roderick MacKinnon...
We consider three problems for the Helmholtz equation in interior and exterior domains in R^d, (d = 2, 3): the exterior Dirichlet-to-Neumann and Neumann-to-Dirichlet problems for outgoing solutions, and the interior...
In the note we consider an iterative generalisation of the rejection sampling
method. In high energy physics, this sampling is frequently used for event
generation, i.e. preparation of phase space points distributed according to...
The COVID-19 pandemic affecting all parts of the world is having huge implications for stroke care. Not only do stroke patients appear to be more susceptible to severe infection, but the pandemic is having major implications on...
We prove wavenumber-explicit bounds on the Dirichlet-to-Neumann map for the Helmholtz equation in the exterior of a bounded obstacle when one of the following three conditions holds: (i) the exterior of the obstacle is...
We prove wavenumber-explicit bounds on the Dirichlet-to-Neumann map for the Helmholtz equation in the exterior of a bounded obstacle when one of the following three conditions holds: (i) the exterior of the obstacle is...
CT perfusion images can be rapidly obtained on all modern CT scanners and easily incorporated into an acute stroke imaging protocol. Here we discuss the technique of CT perfusion imaging, how to interpret the data and how it can...