Results 51 to 60 of about 175 (113)
Acoustic waves interacting with non–locally reacting surfaces in a Lagrangian framework
Abstract The paper deals with a family of evolution problems arising in the physical modeling of small amplitude acoustic phenomena occurring in a fluid, bounded by a surface of extended reaction. They are all derived in a Lagrangian framework. We study well‐posedness of these problems, their mutual relations, and their relations with other evolution ...
Enzo Vitillaro
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ABSTRACT Proteomics can identify pharmacodynamic (PD) biomarkers by detecting protein changes in response to drug treatment, providing insights into drug mechanism and biological effects. In this study, we profiled over 7000 plasma proteins to identify potential PD biomarkers for the interleukin‐5 (IL‐5) inhibitors mepolizumab and reslizumab, which are
Lakshmi Manasa S. Chekka +14 more
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A weak property (β) equals reflexivity for a banach space
We introduce a weak property (β) in Aerms of the De Blasi measure of weak noncompactness and prove that this property characterizes the reflexivity.2592530 ...
Sadarangani, K.
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Boundary representations of locally compact hyperbolic groups
Abstract We develop the theory of Patterson–Sullivan measures for locally compact hyperbolic groups. This theory associates to certain left‐invariant metrics on the group measures on its boundary. Next, we establish irreducibility of the resulting (unitary) Koopman representations for second countable, nonelementary, unimodular locally compact ...
Michael Glasner
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Persistence of unknottedness of clean Lagrangian intersections
Abstract Let Q0$Q_0$ and Q1$Q_1$ be two Lagrangian spheres in a six‐dimensional symplectic manifold. Assume that Q0$Q_0$ and Q1$Q_1$ intersect cleanly along a circle that is unknotted in both Q0$Q_0$ and Q1$Q_1$. We prove that there is no nearby Hamiltonian isotopy of Q0$Q_0$ and Q1$Q_1$ to a pair of Lagrangian spheres meeting cleanly along a circle ...
Johan Asplund, Yin Li
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Subspaces of Hilbert-generated Banach spaces and the quantification of super weak compactness [PDF]
© 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).We introduce a measure of super weak noncompactness Γ defined for bounded subsets and ...
Grelier, Guillaume Guy Marcel +1 more
core
Optimal Control of AB Caputo Fractional Stochastic Integrodifferential Control System with Noninstantaneous Impulses. ABSTRACT This study is concerned with the existence of mild solution and optimal control for the Atangana–Baleanu fractional stochastic integrodifferential system with noninstantaneous impulses in Hilbert spaces. We verify the existence
Murugesan Johnson +2 more
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Note on measures of noncompactness in Banach sequence spaces
The notion of a measure of noncompactness turns out to be a very important and useful tool in many branches of mathematical analysis. The current state of this theory and its applications are presented in the books [1,4,11] for example.
Martinón Cejas, Antonio, Banas, Józef
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In this paper we present new fixed point theorems for weakly sequentially continuous mappings which are convex-power condensing relative to a measure of weak noncompactness. Our fixed point results extend and improve several earlier works.
O'Regan, Donal +3 more
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The three‐dimensional Seiberg–Witten equations for 3/2$3/2$‐spinors: A compactness theorem
Abstract The Rarita‐Schwinger–Seiberg‐Witten (RS–SW) equations are defined similarly to the classical Seiberg–Witten equations, where a geometric non–Dirac‐type operator replaces the Dirac operator called the Rarita–Schwinger operator. In dimension 4, the RS–SW equation was first considered by the second author (Nguyen [J. Geom. Anal. 33(2023), no. 10,
Ahmad Reza Haj Saeedi Sadegh +1 more
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