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Zeitschrift fur Analysis und ihre Anwendungen最新文献

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Pseudo $S$-Asymptotically Bloch Type Periodicity with Applications to Some Evolution Equations 伪$S$-渐近Bloch型周期在若干演化方程中的应用
IF 1.2 3区 数学 Q2 MATHEMATICS Pub Date : 2021-01-25 DOI: 10.4171/ZAA/1671
Yong-Kui Chang, Yanyan Wei
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引用次数: 7
Existence and Uniqueness of Positive Solutions for a Singular Second-Order Integral Boundary Value Problem 一类二阶奇异积分边值问题正解的存在唯一性
IF 1.2 3区 数学 Q2 MATHEMATICS Pub Date : 2021-01-25 DOI: 10.4171/ZAA/1672
J. Caballero, B. López, K. Sadarangani
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引用次数: 0
The index bundle for selfadjoint Fredholm operators and multiparameter bifurcation for Hamiltonian systems 自伴Fredholm算子的指数丛与Hamilton系统的多参数分岔
IF 1.2 3区 数学 Q2 MATHEMATICS Pub Date : 2020-12-10 DOI: 10.4171/zaa/1718
R. Skiba, Nils Waterstraat
The index of a selfadjoint Fredholm operator is zero by the well-known fact that the kernel of a selfadjoint operator is perpendicular to its range. The Fredholm index was generalised to families by Atiyah and Janich in the sixties, and it is readily seen that on complex Hilbert spaces this so called index bundle vanishes for families of selfadjoint Fredholm operators as in the case of a single operator. The first aim of this note is to point out that for every real Hilbert space and every compact topological space $X$ there is a family of selfadjoint Fredholm operators parametrised by $Xtimes S^1$ which has a non-trivial index bundle. Further, we use this observation and a family index theorem of Pejsachowicz to study multiparameter bifurcation of homoclinic solutions of Hamiltonian systems, where we generalise a previously known class of examples.
自伴Fredholm算子的指数为零,这是由于自伴算子的核垂直于其范围这一众所周知的事实。Fredholm指数在60年代由Atiyah和Janich推广到族,并且很容易看出,在复杂Hilbert空间上,这种所谓的指数丛对于自伴Fredholm算子的族消失,就像在单个算子的情况下一样。本文的第一个目的是指出,对于每一个实Hilbert空间和每一个紧致拓扑空间$X$,都存在一个由$Xtimes S^1$参数化的自伴Fredholm算子族,它具有一个非平凡的指数丛。此外,我们利用这一观察结果和Pejsachowicz的族指数定理来研究哈密顿系统同宿解的多参数分支,其中我们推广了一类先前已知的例子。
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引用次数: 0
Differentiating Orlicz Spaces with Rectangles Having Fixed Shapes in a Set of Directions 在一组方向上具有固定形状矩形的Orlicz空间的微分
IF 1.2 3区 数学 Q2 MATHEMATICS Pub Date : 2020-10-22 DOI: 10.4171/zaa/1668
E. D’Aniello, L. Moonens
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引用次数: 3
Global Wellposedness and Large Time Behavior of Solutions to the Hall-Magnetohydrodynamics Equations 霍尔-磁流体动力学方程解的全局适定性和大时间行为
IF 1.2 3区 数学 Q2 MATHEMATICS Pub Date : 2020-10-22 DOI: 10.4171/zaa/1665
Xiaoping Zhai
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引用次数: 2
Zeros of a table of polynomials satisfying a four-term contiguous relation 满足四项连续关系的多项式表的零
IF 1.2 3区 数学 Q2 MATHEMATICS Pub Date : 2020-08-19 DOI: 10.4171/zaa/1698
Jack Luong, Khang Tran
For any $A(z),B(z),C(z)inmathbb{C}[z]$, we study the zero distribution of a table of polynomials $left{ P_{m,n}(z)right} _{m,ninmathbb{N}_{0}}$ satisfying the recurrence relation [ P_{m,n}(z)=A(z)P_{m-1,n}(z)+B(z)P_{m,n-1}(z)+C(z)P_{m-1,n-1}(z) ] with the initial condition $P_{0,0}(z)=1$ and $P_{-m,-n}(z)=0$ $forall m,ninmathbb{N}$. We show that the zeros of $P_{m,n}(z)$ lie on a curve whose equation is given explicitly in terms of $A(z),B(z)$, and $C(z)$. We also study the zero distribution of a case with a general initial condition.
对于任意$A(z)、B(z),C(z)inmathbb{C}[z]$,我们研究了多项式表$left{P_{m,n}(z) right}_{m,n inmath bb的零分布{N}_{0}}$满足递归关系[P_{m,n}(z)=A(z)P_{m-1,n}(z)+B(z)P_{m、n-1}。我们证明了$P_{m,n}(z)$的零位于一条曲线上,该曲线的方程是根据$a(z),B(z)和$C(z)$显式给出的。我们还研究了具有一般初始条件的情形的零分布。
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引用次数: 0
Partial Regularity Results for Quasimonotone Elliptic Systems with General Growth 具有一般增长的拟单调椭圆系统的部分正则性结果
IF 1.2 3区 数学 Q2 MATHEMATICS Pub Date : 2020-07-06 DOI: 10.4171/zaa/1662
B. Stroffolini
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引用次数: 6
On some Generic Small Cantor Spaces 关于一些一般小康托空间
IF 1.2 3区 数学 Q2 MATHEMATICS Pub Date : 2020-07-06 DOI: 10.4171/ZAA/1660
E. D’Aniello, M. Maiuriello
Let $X = [0,1]^{n}$, $n geq1$. We show that the typical (in the sense of Baire category) compact subset of $X$ is not only a zero dimensional Cantor space but it satisfies the property of being strongly microscopic, which is stronger than being of dimension zero.
让$X = [0,1]^{n}$, $n geq1$。证明了$X$的典型(在Baire范畴意义上)紧子集不仅是零维康托空间,而且满足强微观的性质,强微观的性质强于零维康托空间。
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引用次数: 0
New Fixed Point Theorem for Discontinuous Operators in Cones and Applications 锥上不连续算子的新不动点定理及其应用
IF 1.2 3区 数学 Q2 MATHEMATICS Pub Date : 2020-04-07 DOI: 10.4171/zaa/1654
Jorge Rodríguez–López
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引用次数: 4
Nonlocal Averages in Space and Time Given by Medians and the Mean Curvature Flow 由中位数和平均曲率流给出的时空非局部平均
IF 1.2 3区 数学 Q2 MATHEMATICS Pub Date : 2020-04-07 DOI: 10.4171/zaa/1658
Gastón Beltritti, J. Rossi
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引用次数: 0
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Zeitschrift fur Analysis und ihre Anwendungen
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