In this work, we present a novel error analysis for recovering spatially dependent diffusion coefficient in an elliptic or parabolic problem. It is based on the standard regularized output least-squares formulation with $H^1(\Omega)$ seminorm penalty and then discretized using Galerkin finite element method conforming piecewise linear elements both state backward Euler time case. We derive prio...

This paper presents a modified nine switch inverter with two inputs and two Z-source networks. This inverter has two DC inputs and two AC outputs. Input DC voltages can be boosted to the required level. Amplitude, frequency and phase of AC output voltages can be controlled, independently. The proposed converter can be used in applications with two unregulated DC sources, which require feeding ...

We show that, under finitely many ergodicity assumptions, any multicorrelation sequence defined by invertible measure preserving $\mathbb{Z}^d$-actions with multivariable integer polynomial iterates is the sum of a nilsequence and null sequence, extending recent result second author. To this end, we develop new seminorm bound estimate for multiple averages improving results in previous work fir...

background: the co-existence of under and overnutrition might be influenced by a marked shift in dietary and lifestyle practices of people in developing countries. objective: this study aims to identify the factors associated with the occurrence of a dual form of malnutrition in the same households in a rural district in peninsular malaysia. methods: this study was conducted in two phases. the ...

In this article, we present a sufficient condition for the exponential exp⁡(−f) to have tail decay stronger than any Gaussian, where f is defined on locally convex space X and grows faster squared seminorm X. particular, our result proves that exp⁡(−p(x)2+ε+αq(x)2) integrable all α,ε>0 w.r.t. Radon Gaussian measure nuclear X, if p q are continuous seminorms with compatible kernels. This can be ...

In 2014, Ludwig showed the limiting behavior of anisotropic Gagliardo s-seminorm a function f as s→1− and s→0+, which extend results due to Bourgain-Brezis-Mironescu (BBM) Maz'ya-Shaposhnikova (MS) respectively. Recently, Brezis, Van Schaftingen Yung provided different approach by replacing strong Lp norm in weak quasinorm. They characterized case for s=1 that complements BBM formula. The corre...

This paper considers a wavelet analogue of the classical Ginzburg-Landau energy, where the Hseminorm is replaced by the Besov seminorm defined via an arbitrary regular wavelet. We prove that functionals of this type converge, in the Γ-sense, to a weighted analogue of the TV functional on characteristic functions of finite-perimeter sets. The Γ-limiting functional is defined explicitly, in terms...

We study arbitrary-order Hermite difference methods for the numerical solution of initial-boundary value problems for symmetric hyperbolic systems. These differ from standard difference methods in that derivative data (or equivalently local polynomial expansions) are carried at each grid point. Time-stepping is achieved using staggered grids and Taylor series. We prove that methods using deriva...

Let l be a length function on a group G, and let Ml denote the operator of pointwise multiplication by l on l(G). Following Connes, Ml can be used as a “Dirac” operator for C ∗ r (G). It defines a Lipschitz seminorm on C∗ r (G), which defines a metric on the state space of C∗ r (G). We investigate whether the topology from this metric coincides with the weak-∗ topology (our definition of a “com...