Results 41 to 50 of about 23,971 (153)

On the disc-convexity of complex Banach manifolds [PDF]

Annales Polonici Mathematici, 1998
The Banach hyperbolicity and disc-convexity of complex Banach manifolds and their relations are investigated.
Do Duc Thai, Nguyen Le Huong
openaire   +2 more sources

On Bergman–Toeplitz operators in periodic planar domains

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We study spectra of Toeplitz operators Ta$T_a$ with periodic symbols in Bergman spaces A2(Π)$A^2(\Pi)$ on unbounded singly periodic planar domains Π$\Pi$, which are defined as the union of infinitely many copies of the translated, bounded periodic cell ϖ$\varpi$.
Jari Taskinen
wiley   +1 more source

Enhancing human gut health: Global innovations in dysbiosis management

iMeta, Volume 4, Issue 3, June 2025.
The microbiota, comprising all the microorganisms within the body, plays a critical role in maintaining good health. Dysbiosis represents a condition resulting from an imbalance or alteration of the microbiota. This study comprehensively investigates the patent literature on dysbiosis over the past 20 years.
Reda El Boukhari, Maima Matin, Latifa Bouissane, Michał Ławiński, Oleh Lushchak, Rajeev K. Singla, Michel‐Edwar Mickael, Jordi Mayneris‐Perxachs, Maria Eleni Grafakou, Shuhua Xu, Bowen Liu, Jiayi Guan, Andrzej Półtorak, Arkadiusz Szpicer, Agnieszka Wierzbicka, Nikolay T. Tzvetkov, Maciej Banach, Jarosław Olav Horbańczuk, Artur Jóźwik, Marco Cascella, Bairong Shen, Vasil Radoslavov Pirgozliev, Dongdong Wang, Olena Litvinova, Olga Adamska, Agnieszka Kamińska, Marcin Łapiński, Artur Stolarczyk, Ioana Berindan‐Neagoe, Luigi Milella, Andy Wai Kan Yeung, Prashanth Suravajhala, Anupam Bishayee, Ronan Lordan, Laszlo Barna Iantovics, Ricardo Lagoa, Monika Michalczuk, Jivko Stoyanov, A. Douglas Kinghorn, Banaz Jalil, Wolfram Weckwerth, Bey Hing Goh, Meng‐Yao Li, Gyaneshwer Chaubey, Gian Luigi Russo, Sara Frazzini, Luciana Rossi, Maurizio Battino, Wei Jia, Qi Su, Xiaoqiang Ma, Judith M. Rollinger, Simon K.‐M. R. Rittmann, Helen Sheridan, John J. Walsh, Gérard Lizard, Tomasz M. Karpiński, Ana Sanches Silva, Jakub Piwowarski, Liwei Xie, Tai‐Ping Fan, Francesca Giampieri, Adil El Midaoui, Ka‐Hing Wong, Ren‐You Gan, Ahmed Fatimi, Atanas G. Atanasov   +66 more
wiley   +1 more source

Geometric Structures in Tensor Representations (Final Release) [PDF]

, 2015
The main goal of this paper is to study the geometric structures associated with the representation of tensors in subspace based formats. To do this we use a property of the so-called minimal subspaces which allows us to describe the tensor ...
Falco, Antonio, Hackbusch, Wolfgang, Nouy, Anthony   +2 more
core   +2 more sources

Blowing‐Up Solution of a System of Fractional Differential Equations With Variable Order

Mathematical Methods in the Applied Sciences, Volume 48, Issue 9, Page 9726-9743, June 2025.
ABSTRACT We investigated the necessary condition for blowing‐up solutions in finite time of the system u′(t)+(1)D0|tα(t)(u(t)−u0)=|v(t)|q,t>0,q>1,v′(t)+(1)D0|tβ(t)(v(t)−v0)=|u(t)|p,t>0,p>1$$ {u}^{\prime }(t)+{}_{(1)}{D}_{0\mid t}^{\alpha (t)}\left(u(t)-{u}_0\right)={\left|v(t)\right|}^q,\kern0.3em t>0,q>1,{v}^{\prime }(t)+{}_{(1)}{D}_{0\mid t}^{\beta ...
Muhammad Rizki Fadillah, Mokhtar Kirane
wiley   +1 more source

On analytic manifolds belonging to a Banach algebra

Indagationes Mathematicae (Proceedings), 1969
AbstractA certain kind of analytic manifold belonging to a Banach algebra is introduced. These manifolds can always be embedded in principal extensions of Riemann surfaces.
openaire   +3 more sources

A class of Hamilton–Jacobi equations on Banach–Finsler manifolds [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 2015
The concept of subdifferentiability is studied in the context of $C^1$ Finsler manifolds (modeled on a Banach space with a Lipschitz $C^1$ bump function). A class of Hamilton-Jacobi equations defined on $C^1$ Finsler manifolds is studied and several results related to the existence and uniqueness of viscosity solutions are obtained.
J.A. Jaramillo, M. Jiménez-Sevilla, J.L. Ródenas-Pedregosa, L. Sánchez-González   +3 more
openaire   +5 more sources

N$N$‐Soliton Matrix mKdV Solutions: Some Special Solutions Revisited

Studies in Applied Mathematics, Volume 154, Issue 6, June 2025.
ABSTRACT In this article, a general solution formula is derived for the d×d${\sf d}\times {\sf d}$‐matrix modified Korteweg–de Vries equation. Then, a solution class corresponding to special parameter choices is examined in detail. Roughly, this class can be described as N$N$‐solitons (in the sense of Goncharenko) with common phase matrix. It turns out
Sandra Carillo, Mauro Lo Schiavo, Cornelia Schiebold   +2 more
wiley   +1 more source

The Semi-simplicity Manifold on Arbitrary Banach Spaces

Journal of Functional Analysis, 1995
AbstractFor an arbitrary linear (possibly unbounded) operator A on a Banach space, with real spectrum, we construct a maximal continuously embedded Banach subspace on which this operator has a Cℓ(R) functional calculus. We call this subspace, Z, the semi-simplicity manifold for A.
Shmuel Kantorovitz, R. Delaubenfels
openaire   +2 more sources

Improved Gevrey‐1 Estimates of Formal Series Expansions of Center Manifolds

Studies in Applied Mathematics, Volume 154, Issue 6, June 2025.
ABSTRACT In this paper, we show that the coefficients ϕn$\phi _n$ of the formal series expansions ∑n=1∞ϕnxn∈xC[[x]]$\sum _{n=1}^\infty \phi _n x^n\in x\mathbb {C}[[x]]$ of center manifolds of planar analytic saddle‐nodes grow like Γ(n+a)$\Gamma (n+a)$ (after rescaling x$x$) as n→∞$n\rightarrow \infty$.
Kristian Uldall Kristiansen
wiley   +1 more source