Results 61 to 70 of about 500,094 (203)

Hölder Regularity of the Solutions of Fredholm Integral Equations on Upper Ahlfors Regular Sets

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 13361-13381, August 2026.
ABSTRACT We extend to the context of metric measured spaces, with a measure that satisfies upper Ahlfors growth conditions, the validity of (generalized) Hölder continuity results for the solution of a Fredholm integral equation of the second kind. Here we note that upper Ahlfors growth conditions include also cases of nondoubling measures.
Massimo Lanza de Cristoforis, Manuel Norman   +1 more
wiley   +1 more source

Approximation by Semi-Fredholm Operators [PDF]

Proceedings of the American Mathematical Society, 1994
We present a simple approach for calculating some known distances from a bounded operator defined on a separable Hilbert space to certain sets related to semi-Fredholm operators.
openaire   +2 more sources

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14122-14148, August 2026.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

A Hybrid Solid‐State Battery with a Panoramic‐Scale Stack of Bulk Electrodes and a Thin‐Film Electrolyte

Small, Volume 22, Issue 44, 7 August 2026.
A hybrid all‐solid‐state battery (ASSB) is implemented by integrating a thin‐film electrolyte on a bulk anode, and a thick cathode sheet. A densified anode substrate with suppressed porosity is prepared by cold pressing. Thin‐film electrolyte is fabricated onto the bulk substrate via co‐sputtering and infrared‐based rapid annealing.
Hyeseong Jeong, Young Jung Kim, Min Kwan Seo, Dongwook Shin, Jae Jin Kim, Jong‐Ho Lee, Sung Soo Shin, Hyoungchul Kim   +7 more
wiley   +1 more source

Invertible and normal composition operators on the Hilbert Hardy space of a half–plane

Concrete Operators, 2016
Operators on function spaces of form Cɸf = f ∘ ɸ, where ɸ is a fixed map are called composition operators with symbol ɸ. We study such operators acting on the Hilbert Hardy space over the right half-plane and characterize the situations when they are ...
Matache Valentin
doaj   +1 more source

Joint Identification of Groundwater Contamination Source and Heterogeneous Hydrogeological Parameters in LNAPL‐Contaminated Sites Based on Deep Convolutional Encoder‐Decoder Neural Networks

Water Resources Research, Volume 62, Issue 8, August 2026.
Abstract Accurate identification of nonaqueous phase liquid (NAPL) contamination sources is critical in pollution management. However, the joint inversion of source characteristics and heterogeneous hydrogeological parameters faces two major challenges.
Jiannan Luo, Aimin Cai, Xi Ma, Yong Liu, Yefei Ji, Bishan Meng, Wenxi Lu   +6 more
wiley   +1 more source

Fredholm Weighted Composition Operators on Weighted Banach Spaces of Analytic Functions of Type H∞

Journal of Function Spaces, 2015
We study Fredholm (weighted) composition operators between general weighted Banach spaces of analytic functions on the open unit disc with sup-norms.
M. Carmen Gómez-Collado, David Jornet
doaj   +1 more source

Factorization of fredholm operators on analytic functions

Journal of Functional Analysis, 1975
AbstractLet Ω be a simply connected domain in the complex plane, and A(Ωn), the space of functions which are defined and analytic on Ωn, if K is the operator on elements u(t, a1, …, an) of A(Ωn + 1) defined in terms of the kernels ki(t, s, a1, …, an) in A(Ωn + 2) by Ku = ∑i = 1n ∝aitk i(t, s, a1, …, an) u(s, a1, …, an) ds ϵ A(Ωn + 1) and I is the ...
MacNabb, Alex, Schumitzky, Alan
openaire   +1 more source

Bulk‐Surface Coupled PDE With an Open Boundary

Studies in Applied Mathematics, Volume 157, Issue 2, August 2026.
ABSTRACT We study a bulk‐surface coupled Laplace system involving an embedded open boundary. The problem is reformulated as an integro‐differential equation using boundary integral representations, for which we establish existence and uniqueness of the solution.
Charles L. Epstein, Yoichiro Mori, Han Zhou   +2 more
wiley   +1 more source

Bregman Wave Distribution Function Method

Radio Science, Volume 61, Issue 7, July 2026.
Abstract This study proposes a wave distribution function (WDF) estimation method based on minimizing the Bregman divergence in the function space. The proposed method is entirely data‐driven and requires no hyperparameter tuning during the estimation process. It can be regarded as an extension of the maximum entropy method.
Ryosei Nakazawa, Mamoru Ota, Yoshiya Kasahara   +2 more
wiley   +1 more source