Abstract We present a new study of linear elasticity for an infinite three-dimensional plate of finite thickness Ω = IR2×(−1, 1). We first caracterize the kernel of the operator of elasticity as polynomials which can be build from the kernel of the classical Kirchhoff-Love model of plate. Using this characterization we get optimal uniform elliptic estimates W , C on the solution as a function o...

In a generalized topological space Tg = (Ω, ) (Tg -space), various ordinary operators -operators), namely, int_g, cl_g, ext_g, fr_g, der_g, 
 cod_g : P (Ω) −→ (T_g-interior, T_g-closure, T_g-exterior, T_g-frontier, T_g-derived, T_g-coderived operators), are defined in terms of sets (T_g-sets). Accordingly, T_g-operators (g-T_g-operators), g-Int_g, g-Cl_g, g-Ext_g, g-Fr_g, g-Der_g, g-Cod_g ...

we introduce a new concept of general $g$-$eta$-monotone operator generalizing the general $(h,eta)$-monotone operator cite{arvar2, arvar1}, general $h-$ monotone operator cite{xiahuang} in banach spaces, and also generalizing $g$-$eta$-monotone operator cite{zhang}, $(a, eta)$-monotone operator cite{verma2}, $a$-monotone operator cite{verma0}, $(h, eta)$-monotone operator cite{fanghuang}, $h$-...

We demonstrate a one-to-one correspondence between idempotent closure operators and the so-called saturated quasi-uniform structures on category C. Not only this result allows to obtain categorical counterpart P of Császár-Pervin quasi-uniformity P, that we characterize as transitive compatible with an interior operator, but also permits describe those topogenous orders are induced by The P⁎ P−...

This paper deals with a semi-classical limit(Theorem 1) by using traditional mathematical methods, and shows a Hopf theorem as a corollary. A formal discussing of it may be found in [7] 1 A semi-classical limit theorem Let M be a compact, closed Riemannian manifold of dim n, and V a vector field without degenerate zeros on M . Let Λ∗(M) be the space of differential forms on M , and D = d+ δ : Λ...

Medical imaging is the process of creating visual representations of the interior portion of a human body for clinical analysis. Medical imaging reveals the internal structures hidden by the skin and bones, as well as to diagnose and treat disease. It also helps in identifying the abnormalities. Medical imaging technology helps doctors to see the interior portions of the human body and made eas...

We consider uniformly parabolic equations and inequalities of second order in the non-divergence form with drift −ut + Lu = −ut + ∑ ij aijDiju + ∑ biDiu = 0 (≥ 0, ≤ 0) in some domain Q ⊂ Rn+1. We prove growth theorems and the interior Harnack inequality as the main results. In this paper, we will only assume the drift b is in certain Lebesgue spaces which are critical under the parabolic scalin...

We consider a generalized proximal point method (GPPA) for solving the nonlinear complementarity problem with monotone operators in R ' \ lt differs from the classical proximal point method discussed by Rockafellar for the problem offinding zeroes of monotone operators in the use of generalized distances, called (p-divergences, instead of the Euclidean one. These distances play not only a regul...

In this paper we consider the one-dimensional compressible Navier–Stokes system linearized about a constant steady state (Q0, 0) with Q0 > 0. We study the controllability and stabilizability of this linearized system. We establish that the linearized system is null controllable for regular initial data by an interior control acting everywhere in the velocity equation. We prove that this result ...