Results 51 to 60 of about 9,778 (190)
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 3353-3384, 15 March 2026.ABSTRACT The article examines a boundary‐value problem in a bounded domain Ωε$$ {\Omega}_{\varepsilon } $$ consisting of perforated and imperforate regions, with Neumann conditions prescribed at the boundaries of the perforations. Assuming the porous medium has symmetric, periodic structure with a small period ε$$ \varepsilon $$, we analyze the limit ...
Taras Melnyk
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Isometric uniqueness of a complementably universal Banach space for Schauder decompositions [PDF]
, 2013 We present an isometric version of the complementably universal Banach space $\mathbb{P}$ with a Schauder decomposition. The space $\mathbb{P}$ is isomorphic to Pe{\l}czy\'nski's space with a universal basis as well as to Kadec' complementably universal ...
Garbulińska, Joanna
core
Coupling of Brownian motions in Banach spaces
, 2017 Consider a separable Banach space $ \mathcal{W}$ supporting a non-trivial Gaussian measure $\mu$. The following is an immediate consequence of the theory of Gaussian measure on Banach spaces: there exist (almost surely) successful couplings of two ...
Candellero, Elisabetta +1 more
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Comprehensive Reviews in Food Science and Food Safety, Volume 25, Issue 2, March 2026.ABSTRACT Essential oils (EOs) exhibit antimicrobial activity against foodborne pathogens due to their chemical composition. This review investigates the mechanisms of action of EOs at subinhibitory concentrations against Salmonella strains. Even at subinhibitory concentrations, EOs induce cellular stress and modulate bacterial metabolism. EOs interfere
Carolina Ramos +5 more
wiley +1 more source
Schauder estimates for parabolic p$p$‐Laplace systems
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We establish the local Hölder regularity of the spatial gradient of bounded weak solutions u:ET→Rk$u\colon E_T\rightarrow \mathbb {R}^k$ to the nonlinear system of parabolic type ∂tu−div(a(x,t)μ2+|Du|2p−22Du)=0inET,$$\begin{equation*} \partial _tu-\operatorname{div}{\Big(a(x,t){\left(\mu ^2+|Du|^2\right)}^\frac{p-2}{2}Du\Big)}=0 \qquad \mbox ...
Verena Bögelein +4 more
wiley +1 more source
Restricting a Schauder Basis to a Set of Positive Measure [PDF]
Transactions of the American Mathematical Society, 1973 Let { f n } \{ {f_n}\} be an orthonormal system of functions on [0, 1] containing a subsystem { f n k
openaire +2 more sources
Some Paranormed Sequence Spaces Which Involve Arithmetic Divisor Sum Function
Journal of Function Spaces, Volume 2026, Issue 1, 2026.Let Dr, r ≥ 0, be a triangle and q = (qj) be a bounded sequence of strictly positive numbers. In this paper, we study the algebraic and topological properties of the paranormed sequence space ℓDr,q, generated by the triangle Dr over Maddox′s space ℓ(q). We identify the Schauder basis as well as the α‐, β‐, and γ‐duals of the space ℓDr,q. One section is
Ting Gan +5 more
wiley +1 more source
Angles and Schauder basis in Hilbert spaces
, 2018 Let $\mathcal{H}$ be a complex separable Hilbert space. We prove that if $\{f_{n}\}_{n=1}^{\infty}$ is a Schauder basis of the Hilbert space $\mathcal{H}$, then the angles between any two vectors in this basis must have a positive lower bound. Furthermore, we investigate that $\{z^{ ^{-1}(n)}\}_{n=1}^{\infty}$ can never be a Schauder basis of $L^{2 ...
Hou, Bingzhe +3 more
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Approximation in Müntz Spaces MΛ,p of Lp Functions for 1 < p < ∞ and Bases
Mathematics, 2017 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
Bounded time computation on metric spaces and Banach spaces
, 2017 We extend the framework by Kawamura and Cook for investigating computational complexity for operators occurring in analysis. This model is based on second-order complexity theory for functions on the Baire space, which is lifted to metric spaces by means
Schröder, Matthias, Steinberg, Florian
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