Results 41 to 50 of about 766 (235)
Smooth pointwise multipliers of modulation spaces [PDF]
Abstract Let 1 < p, q < ∞ and s, r ∈ ℝ. It is proved that any function in the amalgam space W(Hrp(ℝd), ℓ∞), where p' is the conjugate exponent to p and Hrp′ (ℝd) is the Bessel potential space, defines a bounded pointwise multiplication operator in the modulation space Msp,q(ℝd), whenever r > |s ...
openaire +2 more sources
Abstract In biopharmaceutical manufacturing, protein aggregation is a critical quality attribute, necessitating rapid and reliable analytical strategies during downstream processes like anion‐exchange chromatography (AEX). While Raman spectroscopy enables continuous monitoring of protein secondary structure, standard data‐driven regression models ...
Jakob Heyer‐Müller +4 more
wiley +1 more source
On multipliers in weighted Sobolev spaces. Part I
Let X, Y be Banach spaces whose elements are functions y : Ω → R. We say that a function z : Ω → R is apointwise multiplier on the pair (X, Y ), if T x = zx ∈ Y and the operator T : X → Y is bounded. M(X → Y )denotes the multiplier space on the pair (X,
L. Kussainova, A. Myrzagaliyeva
doaj
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source
How to get a conservative well-posed linear system out of thin air. Part II. Controllability and stability [PDF]
Published ...
Weiss, G, Tucsnak, M
core +1 more source
Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
wiley +1 more source
Pointwise multipliers of weighted BMO spaces [PDF]
Let \(w:{\mathbb{R}}\to {\mathbb{R}}^+\) be a weight function satisfying the doubling condition: \(\int_{J}w(x)dx\leq C\int_{I}w(x)dx\), whenever I and J are intervals such that \(I\subset J\) and \(| J| \leq 2| I|\). The paper under review describes the weighted atomic \(H^ 1\)- space \(H_ w^ 1({\mathbb{R}})\) and weighted BMO-space \(BMO_ w({\mathbb ...
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The Drinfel’d Double for Group-cograded Multiplier Hopf Algebras
Let G be any group and let K(G) denote the multiplier Hopf algebra of complex functions with finite support in G. The product in K(G) is pointwise. The comultiplication on K(G) is defined with values in the multiplier algebra M(K(G) circle times K(G ...
DELVAUX, Lydia +3 more
core +1 more source
Front Propagation Through a Perforated Wall
ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
wiley +1 more source
Pointwise Multipliers on Spaces of Homogeneous Type in the Sense of Coifman and Weiss [PDF]
By applying the remarkable orthonormal basis constructed recently by Ausher and Hytönen on spaces of homogeneous type in the sense of Coifman and Weiss, pointwise multipliers of inhomogeneous Besov and Triebel-Lizorkin spaces are obtained. We make no additional assumptions on the quasi-metric or the doubling measure.
Han, Yanchang +2 more
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