Calderón problem for nonlocal viscous wave equations: Unique determination of linear and nonlinear perturbations [0.03%]
非局部粘性波方程的Calderón问题：线性和非线性摄动的唯一确定性
Philipp Zimmermann
Philipp Zimmermann
The main goal of this article is to study a Calderón type inverse problem for certain viscous nonlocal wave equations. We show that the partial Dirichlet to Neumann map uniquely determines on the one hand linear perturbations and on the ot...
A new family of q-hypergeometric congruences from Andrews' multi-series transformation [0.03%]
Andrews多重级数变换导出的一族q-超几何同余式
Victor J W Guo,Michael J Schlosser
Victor J W Guo
We deduce a new family of q-hypergeometric congruences modulo the fourth power of a cyclotomic polynomial from George Andrews' multi-series extension of the Watson transformation. A Karlsson-Minton type summation for very-well-poised basic ...
Christian Bargetz,Adam Bartoš,Wiesław Kubiś et al.
Christian Bargetz et al.
We study homogeneity aspects of metric spaces in which all triples of distinct points admit pairwise different distances; such spaces are called isosceles-free. In particular, we characterize all homogeneous isosceles-free spaces up to isom...
The Kotake-Narasimhan theorem in general ultradifferentiable classes [0.03%]
一般超分次类中的Kotake-Narasimhan定理
Stefan Fürdös
Stefan Fürdös
We prove a Kotake-Narasimhan type theorem in general ultradifferentiable classes given by weight matrices. In doing so we simultaneously recover and generalize significantly the known results for classes given by weight sequences and weight...
Stability properties of ultraholomorphic classes of Roumieu-type defined by weight matrices [0.03%]
由重量矩阵定义的Roumieu型超可微类的稳定性属性
Javier Jiménez-Garrido,Ignacio Miguel-Cantero,Javier Sanz et al.
Javier Jiménez-Garrido et al.
We characterize several stability properties, such as inverse or composition closedness, for ultraholomorphic function classes of Roumieu type defined in terms of a weight matrix. In this way we transfer and extend known results from J. Sid...
Absolutely closed semigroups [0.03%]
完全闭半群
Taras Banakh,Serhii Bardyla
Taras Banakh
Let C be a class of topological semigroups. A semigroup X is called absolutely C-closed if for any homomorphism h:X→Y to a topological semigroup Y∈C, the image h[X] is closed in Y. Let T1S, T2S, and TzS be the classes of T1, Hau...
Guo-Shuai Mao,Michael J Schlosser
Guo-Shuai Mao
In this paper, we prove two recently conjectured supercongruences (modulo p3, where p is any prime greater than 3) of Zhi-Hong Sun on truncated sums involving the Domb numbers. Our proofs involve a number of ingredients such as congruences ...
Richards's curve induced Banach space valued ordinary and fractional neural network approximation [0.03%]
里查兹曲线诱导的Banach空间值普通和分数神经网络逼近
George A Anastassiou,Seda Karateke
George A Anastassiou
Here we perform the univariate quantitative approximation, ordinary and fractional, of Banach space valued continuous functions on a compact interval or all the real line by quasi-interpolation Banach space valued neural network operators. ...
Three families of q-supercongruences modulo the square and cube of a cyclotomic polynomial [0.03%]
三类涉及分圆多项式平方和立方的q超同余式
Victor J W Guo,Michael J Schlosser
Victor J W Guo
In this paper, three parametric q-supercongruences for truncated very-well-poised basic hypergeometric series are proved, one of them modulo the square, the other two modulo the cube of a cyclotomic polynomial. The main ingredients of proof...
An Agmon-Allegretto-Piepenbrink principle for Schrödinger operators [0.03%]
Schrödinger算子的一个Agmon-Allegretto-Piepenbrink原理
Stefano Buccheri,Luigi Orsina,Augusto C Ponce
Stefano Buccheri
We prove that each Borel function V : Ω → [ - ∞ , + ∞ ] defined on an open subset Ω ⊂ R N induces a decomposition Ω = S ∪ ⋃ i D i such that every function in W 0 1 , 2 ( Ω ) ...