Abstract: Electromagnetic energy radiated by antennas working in both the frequency domain and time domain is studied as a function of the charge associated with the current in the antenna. The frequency domain results, obtained under the assumption of sinusoidal current distribution, show that, for a given charge, the energy radiated within a period of oscillation increases initially with L/λ ...

We consider a quasilinear parabolic problem u′(t) = Q ( u(t) ) u(t), u(t0) = u0 ∈ D, where Q(w) : D ⊂ X → X, w ∈ W ⊂ X, is a family of sectorial operators in a Banach space X with fixed domain D. This problem is discretized in time by means of a strongly A(θ)-stable, 0 < θ ≤ π/2, Runge–Kutta method. We prove that the resulting discretization is stable, under some natural assumptions on the depe...

Let Ω be the upper half plane {(x, y) ∈ R, x > 0, y ∈ R}. Define the Laplacian on Ω to be ∆D = ∂ 2 x + (1 + x)∂ 2 y , together with Dirichlet boundary conditions on ∂Ω: one may easily see that Ω, with the metric inherited from ∆D, is a strictly convex domain. We shall prove that, in such a domain Ω, Strichartz estimates for the wave equation suffer losses when compared to the usual case Ω = R, ...

Domain of attraction of the normal law Brownian bridge a b s t r a c t domain of attraction of the normal law with mean zero and possibly infinite variance, Q (n) = R(n)/S(n) be the rescaled range statistic, where R(n)

Motivated from studies on anomalous diffusion, we show that the memory function $M(t)$ of complex materials, their creep compliance follows a power law, $J(t)\sim t^q$ with $q\in \mathbb{R}^+$, is fractional derivative Dirac delta function, $\frac{\mathrm{d}^q\delta(t-0)}{\mathrm{d}t^q}$ \mathbb{R}^+$. This leads to finding inverse Laplace transform $s^q$ for any \mathbb{R}^+$ $\frac{\mathrm{d}...

Binding of lambda carrageenan (lCG) to bovine serum albumin (BSA) and the effect formation path, namely mixing (M) at specific pH versus titration (T) from a neutral mixture, on complexation have been studied using turbidimetry, phase analysis, dynamic light scattering, confocal laser scanning bright-field optical microscopy, circular dichroism fluorescence measurements. The sizes shape complex...

We study the homogeneous Dirichlet problem for degenerate parabolic equationut?div(|?u|p(x,t)?2?u)=f(x,t) in QT=?×(0,T), where ??RN, N?2, is a bounded domain with boundary ???C2. The variable exponent p(x,t) given Lipschitz-continuous function, p(x,t):QT?[p?,p+] some constants 2NN+2<p??p+<?. derive conditions on f and u0 sufficient existence of unique strong solution following global regularity...