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...
Abstract: Background/Objectives: Successful pregnancy requires the de novo creation of low-resistance utero-placental and feto-placental circulations and incomplete remodeling of this vasculature can lead to maternal or fetal...
Abstract: Background/Objectives: Successful pregnancy requires the de novo creation of low-resistance utero-placental and feto-placental circulations and incomplete remodeling of this vasculature can lead to maternal or fetal...
Abstract: Background/Objectives: Successful pregnancy requires the de novo creation of low-resistance utero-placental and feto-placental circulations and incomplete remodeling of this vasculature can lead to maternal or fetal...
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...
In nature, the root systems of most plants develop intimate symbioses with glomeromycotan fungi that assist in the acquisition of mineral nutrients and water through uptake from the soil and direct delivery into the root cortex....
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...
One of the striking features of multicellular plants is their developmental plasticity in response to environmental change. For example, flowering plants can transform the vegetative meristem into a reproductive meristem for...
Throughout their life cycle, plants have to respond appropriately to diverse microorganisms. While living alongside harmless commensals and warding off disease-causing and nutrient-seeking pathogens, plants also engage in...
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...
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...