Results 41 to 50 of about 8,297,223 (199)
ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti +2 more
wiley +1 more source
Anaerobic biodegradation of benzene by sulphate‐reducing strain BzS1 was studied by combining genomics, differential proteomics and targeted metabolite analyses. Strain BzS1 has an exceptionally streamlined metabolism. A highly abundant heterotrimeric flavoprotein may add benzene to either enolpyruvate or glutaconyl‐CoA followed by channelling into the
Florin Musat +11 more
wiley +1 more source
Existence of Weak Solutions for the Equations of a Non‐Newtonian Fluid With Non‐Standard Growth
ABSTRACT We consider the equations of a non‐Newtonian incompressible fluid in a general time‐space cylinder ΩT=Ω×(0,T)⊂Rn×R,n≥2$\Omega _{T} = \Omega \times (0,T) \subset \mathbb {R}^{n} \times \mathbb {R}, n \ge 2$. We assume that the rheology of the fluid is changing with respect to time and space, and satisfies, for each (x,t)∈ΩT$(x,t) \in \Omega _{T}
Hyeong‐Ohk Bae, Jörg Wolf
wiley +1 more source
Adaptive sequential design for regression on Schauder Basis [PDF]
We present a new sequential algorithm to build both optimal design and model selection in a multi-resolution family of functions. This algorithm relies on a localization property of discrete sequential D and A-optimal designs for Schauder Basis.
Cohen, Serge, Gadat, Sébastien
core +1 more source
Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks
ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley +1 more source
Approximation in Müntz Spaces MΛ,p of Lp Functions for 1 < p < ∞ and Bases
Müntz spaces satisfying the Müntz and gap conditions are considered. A Fourier approximation of functions in the Müntz spaces MΛ,p of Lp functions is studied, where 1 < p < ∞.
Sergey V. Ludkowski
doaj +1 more source
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
Abstract In this paper, we investigate the following D1,p$D^{1,p}$‐critical quasi‐linear Hénon equation involving p$p$‐Laplacian −Δpu=|x|αupα∗−1,x∈RN,$$\begin{equation*} -\Delta _p u=|x|^{\alpha }u^{p_\alpha ^*-1}, \qquad x\in \mathbb {R}^N, \end{equation*}$$where N⩾2$N\geqslant 2$, 1+1 more source
Examples of non-archimedean nuclear Frechet spaces without a Schauder basis [PDF]
We solve the problem of the existence of a Schauder basis in non-archimedean Frechet spaces of countable type. Using examples of real nuclear Frechet spaces without a Schauder basis we construct examples of non-archimedean nuclear Frechet spaces ...
Śliwa, Wiesław
core
On the Domain of the Pell-Lucas Matrix in the Spaces c and c_0
In this study, we introduce new Banach sequence spaces $c(\Theta), c_0(\Theta)$, defined via a regular infinite matrix $ \Theta = (\lambda_{nk})$, where \[ \Theta_{nk} = \begin{cases} \dfrac{2\lambda_k}{3\lambda_n+\lambda_{n-1}} & 0 \leq k \leq n ...
Shiva Shah
doaj +1 more source

