DSpace Collection:
http://hdl.handle.net/10077/4159
20230117T15:58:46Z

Low Frequency Electromagnetic Scattering. The Impedance Problem for a Spere
http://hdl.handle.net/10077/4231
Title: Low Frequency Electromagnetic Scattering. The Impedance Problem for a Spere
Authors: Venkov, George; Arnaoudov, Yani
Abstract: We consider the lowfrequency scattering problem of a plane electromagnetic wave by a small sphere, of the boundary of which an impedance condition is satisfied. The impedance boundary condition was introduced by Leontovich (1948) and it accounts for situations where the obstacle is not perfectly conducting but the exterior field will not penetrate deeply into the scatterer. Il provides a method to simulate the material properties of the surface of highly absorbing coating layers. For the near electromagnetic field we obtain the lowfrequency coefficients of the zeroth and the first order while in the far field we derive the leading nonvanishing terms for the scattering amplitude, the scattering and the absorption crosssections.
20010101T00:00:00Z

Singular semilinear elliptic equations in the halfspace
http://hdl.handle.net/10077/4230
Title: Singular semilinear elliptic equations in the halfspace
Authors: Tintarev, Kyril
Abstract: We show that equation $x_{N}^{q}\Delta u+u^{p1}=0$ on the halfspace
$Y=\mathbf{R}^{N1}\times\left(0,\infty\right)$ and on some of its
subsets has a ground state solution for $q=N\frac{p\left(N2\right)}{2},\; p\;\epsilon\left(2,2*\right)$.
For N $\geq$ 3 the end point cases p=2 and p=2{*} correspond to eh
Hardy inequality and the limit exponent Sobolev inequality respectively.
For N=2 the problem can be interpreted in terms of LaplaceBeltrami
operator on the hyperbolic halfplane.
20010101T00:00:00Z

Special relativity without physics
http://hdl.handle.net/10077/4229
Title: Special relativity without physics
Authors: Pfeffer, Washek F.
Abstract: Using only causality and the constant speed of light, I derive the PoincarĂ© transformation group. In this derivation I make no a priori assumptions about the linearity or continuity of the transformations
20010101T00:00:00Z

A monomiality principle approach to the GouldHopper Polynomials
http://hdl.handle.net/10077/4228
Title: A monomiality principle approach to the GouldHopper Polynomials
Authors: Noschese, Silvia
Abstract: We show how to derive properties of the GouldHopper polynomials using operational rules associated with the monomiality principle.
20010101T00:00:00Z