The population of elderly is rapidly increasing in Japan and we expect that one fourth of our population are older than sixty-five years in 2020, which amounts to thirty five million people. The number of people with dementia, who need some types of care, is then estimated to be about three million, which occupies eight percent of elderly people. The change suggests that we can no longer hospit...

Organisations are increasingly considering the establishment of virtual peer-to-peer problem solving (P3) communities as a channel to provide support services to their customers. Such service support models promise organisations benefits over traditional models but there are uncertainties around their success due to the possible risks and negative outcomes. There is a scarcity of studies that e...

We consider the scattering of an electromagnetic time harmonic plane wave by very thin obstacles. In this lecture we will restrict ourselves to the scattering of an Epolarized electromagnetic field by a perfectly conducting infinite cylinder having an open arc in R as cross section. We further allow the possibility that one side of the cylinder is coated with a dielectric material. This leads t...

We consider the biharmonic Dirichlet problem on a polygonal domain. Regularity estimates in terms of Sobolev norms of fractional order are proved. The analysis is based on new interpolation results which generalizes Kellogg’s method for solving subspace interpolation problems. The Fourier transform and the construction of extension operators to Sobolev spaces on R are used in the proof of the i...

The paper deals with an iterative method for numerical solving frictionless contact problems for two elastic bodies. Each iterative step consists of a Dirichlet problem for the one body, a contact problem for the other one and two Neumann problems to coordinate contact stresses. Convergence is proved by the Banach fixed point theorem in both continuous and discrete case. Numerical experiments i...