Analysis of PDEs

Authors and titles for August 2021

[351] arXiv:2108.08361 (cross-list from math-ph) [cn-pdf, pdf, other]

Title: Transmission eigenvalues for multipoint scatterers Show Chinese title

Title: 多点散射体的传输特征值

P.G. Grinevich (1,2,3), R.G. Novikov (4) ((1) Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia, (2) L.D. Landau Institute for Theoretical Physics, Chernogolovka, Russia, (3) Lomonosov Moscow State University, Moscow, Russia, (4) CMAP, CNRS, École Polytechnique, Institut Polytechnique de Paris, Palaiseau, France)

Comments: 12 pages

Subjects: Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP) ; Spectral Theory (math.SP)

[352] arXiv:2108.08402 (cross-list from math.DG) [cn-pdf, pdf, other]

Title: A Green's function proof of the Positive Mass Theorem Show Chinese title

Title: 一种格林函数证明正质量定理

V. Agostiniani, L. Mazzieri, F. Oronzio

Comments: This version contains a new session regarding the small sphere limits

Subjects: Differential Geometry (math.DG) ; Analysis of PDEs (math.AP)

[353] arXiv:2108.08652 (cross-list from math.OC) [cn-pdf, pdf, other]

Title: Analysis of general shape optimization problems in nonlinear acoustics Show Chinese title

Title: 非线性声学中一般形状优化问题的分析

Mostafa Meliani, Vanja Nikolić

Subjects: Optimization and Control (math.OC) ; Analysis of PDEs (math.AP)

[354] arXiv:2108.08675 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Uniform in time propagation of chaos for the 2D vortex model and other singular stochastic systems Show Chinese title

Title: 关于二维涡旋模型和其他奇异随机系统的时间一致混沌传播

Arnaud Guillin, Pierre Le Bris, Pierre Monmarché

Comments: New version with minor modifications for publication

Subjects: Probability (math.PR) ; Analysis of PDEs (math.AP)

[355] arXiv:2108.08687 (cross-list from stat.ML) [cn-pdf, pdf, other]

Title: Clustering dynamics on graphs: from spectral clustering to mean shift through Fokker-Planck interpolation Show Chinese title

Title: 图上的聚类动力学：从谱聚类到通过福克-普朗克插值的均值漂移

Katy Craig, Nicolás García Trillos, Dejan Slepčev

Subjects: Machine Learning (stat.ML) ; Machine Learning (cs.LG) ; Analysis of PDEs (math.AP)

[356] arXiv:2108.08730 (cross-list from cs.CE) [cn-pdf, pdf, other]

Title: Accurate 3D frequency-domain seismic wave modeling with the wavelength-adaptive 27-point finite-difference stencil: a tool for full waveform inversion Show Chinese title

Title: 基于波长自适应27点有限差分模板的精确三维频域地震波模拟：全波形反演工具

Hossein S. Aghamiry, Ali Gholami, Laure Combe, Stéphane Operto

Subjects: Computational Engineering, Finance, and Science (cs.CE) ; Analysis of PDEs (math.AP)

[357] arXiv:2108.08858 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Well-posedness of the Dean--Kawasaki and the nonlinear Dawson--Watanabe equation with correlated noise Show Chinese title

Title: Dean--Kawasaki方程和带有相关噪声的非线性Dawson--Watanabe方程的适定性

Benjamin Fehrman, Benjamin Gess

Subjects: Probability (math.PR) ; Analysis of PDEs (math.AP)

[358] arXiv:2108.08902 (cross-list from math-ph) [cn-pdf, pdf, other]

Title: Variational principles for nonlinear PDE systems via duality Show Chinese title

Title: 通过对偶的非线性PDE系统的变分原理

Amit Acharya

Comments: The paper is to appear in Quarterly of Applied Mathematics

Subjects: Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP)

[359] arXiv:2108.08959 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: An interface formulation of the Laplace-Beltrami problem on piecewise smooth surfaces Show Chinese title

Title: 拉普拉斯-贝尔特拉米问题在分段光滑曲面上的界面公式

Tristan Goodwill, Michael O'Neil

Subjects: Numerical Analysis (math.NA) ; Analysis of PDEs (math.AP)

[360] arXiv:2108.09046 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Weak coupling limit of the Anisotropic KPZ equation Show Chinese title

Title: 各向异性KPZ方程的弱耦合极限

Giuseppe Cannizzaro, Dirk Erhard, Fabio Toninelli

Comments: 5 figures

Journal-ref: Duke Math. J. 172(16): 3013-3104 (1 November 2023)

Subjects: Probability (math.PR) ; Analysis of PDEs (math.AP)

[361] arXiv:2108.09145 (cross-list from math-ph) [cn-pdf, pdf, other]

Title: Linear Models of a Stiffened Plate via $Γ$-convergence Show Chinese title

Title: 通过$Γ$-收敛的加筋板线性模型

Marco Picchi Scardaoni, Roberto Paroni

Subjects: Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP)

[362] arXiv:2108.09161 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Entropic turnpike estimates for the kinetic Schrödinger problem Show Chinese title

Title: 熵能绕行估计对于动能薛定谔问题

Alberto Chiarini, Giovanni Conforti, Giacomo Greco, Zhenjie Ren

Comments: 33 pages

Subjects: Probability (math.PR) ; Analysis of PDEs (math.AP)

[363] arXiv:2108.09321 (cross-list from math.OC) [cn-pdf, pdf, other]

Title: On the Optimal Control of Propagation Fronts Show Chinese title

Title: 关于传播前沿的最佳控制

Alberto Bressan, Maria Teresa Chiri, Najmeh Salehi

Comments: 13 figure

Subjects: Optimization and Control (math.OC) ; Analysis of PDEs (math.AP)

[364] arXiv:2108.10371 (cross-list from math.DG) [cn-pdf, pdf, other]

Title: The Unique Tangent Cone Property for Weakly Holomorphic Maps into Projective Algebraic Varieties Show Chinese title

Title: 弱全纯映射到射影代数簇的唯一切锥性质

Riccardo Caniato, Tristan Rivière

Comments: 52 pages

Journal-ref: Duke Mathematical Journal 172.13 (2023), 2471-2536

Subjects: Differential Geometry (math.DG) ; Analysis of PDEs (math.AP)

[365] arXiv:2108.10596 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: A second order difference scheme for time fractional diffusion equation with generalized memory kernel Show Chinese title

Title: 一种用于具有广义记忆核的分数阶扩散方程的二阶差分格式

Aslanbek Khibiev, Anatoly Alikhanov, Chengming Huang

Comments: arXiv admin note: text overlap with arXiv:1404.5221

Subjects: Numerical Analysis (math.NA) ; Analysis of PDEs (math.AP)

[366] arXiv:2108.10597 (cross-list from math.CA) [cn-pdf, pdf, other]

Title: Causal sparse domination of Beurling maximal regularity operators Show Chinese title

Title: 因果稀疏支配贝urling最大正则性算子

Tuomas Hytönen, Andreas Rosén

Comments: An appendix, Lemma 5.2 and 3 open problems added, in particular

Subjects: Classical Analysis and ODEs (math.CA) ; Analysis of PDEs (math.AP) ; Functional Analysis (math.FA)

[367] arXiv:2108.11052 (cross-list from math.OC) [cn-pdf, pdf, other]

Title: Spill-Free Transfer and Stabilization of Viscous Liquid Show Chinese title

Title: 无泄漏的粘性液体转移与稳定化

Iasson Karafyllis, Miroslav Krstic

Comments: 24 pages,1 figure, submitted to IEEE TAC for possible publication

Subjects: Optimization and Control (math.OC) ; Systems and Control (eess.SY) ; Analysis of PDEs (math.AP) ; Fluid Dynamics (physics.flu-dyn)

[368] arXiv:2108.11067 (cross-list from math.FA) [cn-pdf, pdf, other]

Title: Microlocal analysis of d-plane transform on the Euclidean space Show Chinese title

Title: 欧几里得空间上d平面变换的微局部分析

Hiroyuki Chihara

Comments: minor change, 29 pages, 4 figures

Subjects: Functional Analysis (math.FA) ; Analysis of PDEs (math.AP) ; Classical Analysis and ODEs (math.CA)

[369] arXiv:2108.11129 (cross-list from math-ph) [cn-pdf, pdf, other]

Title: Bogoliubov Theory for Trapped Bosons in the Gross-Pitaevskii Regime Show Chinese title

Title: 玻利乌波夫理论在粗斯-皮塔耶夫斯基区域中的受约束玻色子

Christian Brennecke, Benjamin Schlein, Severin Schraven

Comments: 78 pages

Subjects: Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP)

[370] arXiv:2108.11152 (cross-list from math.FA) [cn-pdf, pdf, other]

Title: Necessary Density Conditions for Sampling and Interpolation in Spectral Subspaces of Elliptic Differential Operators Show Chinese title

Title: 采样和插值在椭圆微分算子谱子空间中的必要密度条件

Karlheinz Gröchenig, Andreas Klotz

Comments: 32 pp. We modified Section 6 to cover the case of slowly oscillating symbols. Some minor errors are corrected

Journal-ref: Analysis & PDE 17 (2024) 587-616

Subjects: Functional Analysis (math.FA) ; Information Theory (cs.IT) ; Analysis of PDEs (math.AP)

[371] arXiv:2108.11254 (cross-list from math.NA) [cn-pdf, pdf, other]

Title: Stability and convergence of Strang splitting. Part II: tensorial Allen-Cahn equations Show Chinese title

Title: Strang分裂的稳定性与收敛性。 第二部分：张量型Allen-Cahn方程

Dong Li, Chaoyu Quan, Jiao Xu

Comments: 21 pages, to appear in JCP

Subjects: Numerical Analysis (math.NA) ; Analysis of PDEs (math.AP)

[372] arXiv:2108.11258 (cross-list from math-ph) [cn-pdf, pdf, other]

Title: Scaling limit of the directional conductivity of random resistor networks on simple point processes Show Chinese title

Title: 随机电阻网络在简单点过程上的方向电导率的尺度极限

A. Faggionato

Comments: 46 pages, 6 figures. Modified title. Extended the main result to non-principal directions without modifying the box (see new Theorem 2.6). Corrected one example and added others. Extended the discussion of (A3) by treating periodic structures. Added figures and references. arXiv admin note: text overlap with arXiv:2002.03441

Subjects: Mathematical Physics (math-ph) ; Statistical Mechanics (cond-mat.stat-mech) ; Analysis of PDEs (math.AP) ; Probability (math.PR)

[373] arXiv:2108.11312 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: An SPDE approach to perturbation theory of $Φ^4_2$: asymptoticity and short distance behavior Show Chinese title

Title: 一种SPDE方法用于$Φ^4_2$的微扰理论：渐近性和短距离行为

Hao Shen, Rongchan Zhu, Xiangchan Zhu

Comments: 37 pages. Small fixes in Appendix A

Subjects: Probability (math.PR) ; Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP)

[374] arXiv:2108.11462 (cross-list from math.DG) [cn-pdf, pdf, other]

Title: Stable minimal hypersurfaces in $\mathbf{R}^4$ Show Chinese title

Title: 稳定极小超曲面在$\mathbf{R}^4$中

Otis Chodosh, Chao Li

Comments: Final version. Added discussions on almost stable minimal hypersurfaces. To appear in Acta Mathematica

Subjects: Differential Geometry (math.DG) ; Analysis of PDEs (math.AP)

[375] arXiv:2108.11473 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Interpolating the Stochastic Heat and Wave Equations with Time-independent Noise: Solvability and Exact Asymptotics Show Chinese title

Title: 带有时间独立噪声的随机热方程和波动方程的插值：可解性和精确渐近性

Le Chen, Nicholas Eisenberg

Comments: 41 pages, 6 figures

Subjects: Probability (math.PR) ; Analysis of PDEs (math.AP)

[376] arXiv:2108.11567 (cross-list from math.CA) [cn-pdf, pdf, other]

Title: New bounds for Stein's square functions in higher dimensions Show Chinese title

Title: 高维中Stein平方函数的新界

Shengwen Gan, Changkeun Oh, Shukun Wu

Comments: One reference was added

Subjects: Classical Analysis and ODEs (math.CA) ; Analysis of PDEs (math.AP)

[377] arXiv:2108.11657 (cross-list from math.DG) [cn-pdf, pdf, other]

Title: A flow approach to the Musielak-Orlicz-Gauss image problem Show Chinese title

Title: 一种流方法用于Musielak-Orlicz-Gauss图像问题

Qi-Rui Li, Weimin Sheng, Deping Ye, Caihong Yi

Comments: 35 pages. All comments are welcome

Journal-ref: Adv in Math. 2022

Subjects: Differential Geometry (math.DG) ; Analysis of PDEs (math.AP)

[378] arXiv:2108.11681 (cross-list from math.FA) [cn-pdf, pdf, other]

Title: (Weak) Hardy and Poincaré inequalities and criticality theory Show Chinese title

Title: (弱) Hardy 和 Poincaré 不等式及临界性理论

Marcel Schmidt

Subjects: Functional Analysis (math.FA) ; Analysis of PDEs (math.AP) ; Probability (math.PR)

[379] arXiv:2108.11911 (cross-list from math.OC) [cn-pdf, pdf, other]

Title: Efficient Joint Object Matching via Linear Programming Show Chinese title

Title: 通过线性规划的高效联合对象匹配

Antonio De Rosa, Aida Khajavirad

Subjects: Optimization and Control (math.OC) ; Analysis of PDEs (math.AP) ; Probability (math.PR)

[380] arXiv:2108.11972 (cross-list from math.DG) [cn-pdf, pdf, other]

Title: The positive mass theorem and distance estimates in the spin setting Show Chinese title

Title: 正质量定理和自旋情形下的距离估计

Simone Cecchini, Rudolf Zeidler

Comments: 20 pages; v2: update discussion in introduction

Journal-ref: Trans. Amer. Math. Soc. 377 (2024), 5271-5288

Subjects: Differential Geometry (math.DG) ; General Relativity and Quantum Cosmology (gr-qc) ; Analysis of PDEs (math.AP)

[381] arXiv:2108.12036 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: On finite configurations in the spectra of singular measures Show Chinese title

Title: 关于奇异测度谱中的有限配置

Rami Ayoush

Subjects: Classical Analysis and ODEs (math.CA) ; Analysis of PDEs (math.AP)

[382] arXiv:2108.12316 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Backward Monge Potential and Monge-Ampere Equation Show Chinese title

Title: 反向Monge势和Monge-Ampere方程

Mine Caglar, Ihsan Demirel

Subjects: Probability (math.PR) ; Analysis of PDEs (math.AP) ; Functional Analysis (math.FA)

[383] arXiv:2108.12340 (cross-list from math.CA) [cn-pdf, pdf, other]

Title: Hausdorff dimension of caloric measure Show Chinese title

Title: 调和测度的豪斯多夫维数

Matthew Badger, Alyssa Genschaw

Comments: 34 pages, 5 figures (v2: corrected statement of Theorem 2.13, deleted Remark 5.4, added references to upper and lower bounds on b_3, integrated footnotes into main text to conform to journal style)

Subjects: Classical Analysis and ODEs (math.CA) ; Analysis of PDEs (math.AP)

[384] arXiv:2108.12664 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: Elliptic stochastic quantization of Sinh-Gordon QFT Show Chinese title

Title: Sinh-Gordon QFT的椭圆随机量子化

Nikolay Barashkov, Francesco C. De Vecchi

Comments: Some typos and erros have been corrected. This version has been accepted for publication in "Stochastics and Partial Differential Equations: Analysis and Computations"

Subjects: Probability (math.PR) ; Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP)

[385] arXiv:2108.12854 (cross-list from math.SP) [cn-pdf, pdf, other]

Title: Keller-type bounds for Dirac operators perturbed by rigid potentials Show Chinese title

Title: Keller型边界对于受刚性势扰动的狄拉克算子

Haruya Mizutani, Nico Michele Schiavone

Comments: 40 pages, 4 figures, added references in Section 1

Subjects: Spectral Theory (math.SP) ; Analysis of PDEs (math.AP)

[386] arXiv:2108.12913 (cross-list from physics.flu-dyn) [cn-pdf, pdf, html, other]

Title: Kolmogorov's dissipation number and determining wavenumber for dyadic models Show Chinese title

Title: 科莫戈罗夫耗散数和确定波数对于二元模型

Mimi Dai, Margaret Hoeller, Qirui Peng, Xiangxiong Zhang

Journal-ref: Nonlinearity, 37, 025015, 2024

Subjects: Fluid Dynamics (physics.flu-dyn) ; Analysis of PDEs (math.AP)

[387] arXiv:2108.12991 (cross-list from math.DG) [cn-pdf, pdf, other]

Title: Collapsing geometry of hyperkähler 4-manifolds and applications Show Chinese title

Title: 超凯勒4流形的坍缩几何及其应用

Song Sun, Ruobing Zhang

Comments: A conjecture on the L2-curvature energy was added in Section 7.3. To appear in Acta Mathematica

Subjects: Differential Geometry (math.DG) ; Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP)

[388] arXiv:2108.13335 (cross-list from math.PR) [cn-pdf, pdf, other]

Title: A simple construction of the dynamical $Φ^4_3$ model Show Chinese title

Title: 一个动态$Φ^4_3$模型的简单构造

Aukosh Jagannath, Nicolas Perkowski

Journal-ref: Trans. Amer. Math. Soc. 376 (2023), 1507-1522

Subjects: Probability (math.PR) ; Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP)

[389] arXiv:2108.13377 (cross-list from gr-qc) [cn-pdf, pdf, other]

Title: Global Non-Linearly Stable Large-Data Solutions to the Einstein Scalar Field System Show Chinese title

Title: 全局非线性稳定的大型数据解到爱因斯坦标量场系统

Eric Kilgore

Comments: 59 pages

Subjects: General Relativity and Quantum Cosmology (gr-qc) ; Analysis of PDEs (math.AP)

[390] arXiv:2108.13379 (cross-list from gr-qc) [cn-pdf, pdf, other]

Title: Global nonlinear stability of large dispersive solutions to the Einstein equations Show Chinese title

Title: 爱因斯坦方程大色散解的全局非线性稳定性

Jonathan Luk, Sung-Jin Oh

Comments: 94 pages, 1 figure; v2: minor typos fixed

Subjects: General Relativity and Quantum Cosmology (gr-qc) ; Analysis of PDEs (math.AP)

[391] arXiv:2108.13415 (cross-list from q-bio.PE) [cn-pdf, pdf, other]

Title: A nonlinear cross-diffusion epidemic with time-dependent SIRD system: Multiscale derivation and computational analysis Show Chinese title

Title: 具有时变SIRD系统的非线性交叉扩散流行病：多尺度推导与计算分析

Mohamed Zagour

Subjects: Populations and Evolution (q-bio.PE) ; Analysis of PDEs (math.AP) ; Numerical Analysis (math.NA)

[392] arXiv:2108.13706 (cross-list from math.DG) [cn-pdf, pdf, other]

Title: Isoparametric foliations and the Pompeiu problem Show Chinese title

Title: 等参叶状结构与庞佩乌问题

Luigi Provenzano, Alessandro Savo

Subjects: Differential Geometry (math.DG) ; Analysis of PDEs (math.AP) ; Spectral Theory (math.SP)

[393] arXiv:2108.13874 (cross-list from math.SP) [cn-pdf, pdf, other]

Title: On the effects of small perturbation on low energy Laplace eigenfunctions Show Chinese title

Title: 小扰动对低能拉普拉斯特征函数的影响

Mayukh Mukherjee, Soumyajit Saha

Comments: 32 pages, 13 diagrams, comments most welcome!

Subjects: Spectral Theory (math.SP) ; Analysis of PDEs (math.AP) ; Differential Geometry (math.DG) ; Functional Analysis (math.FA)

[394] arXiv:2108.13993 (cross-list from cs.LG) [cn-pdf, pdf, other]

Title: Designing Rotationally Invariant Neural Networks from PDEs and Variational Methods Show Chinese title

Title: 从偏微分方程和变分方法设计旋转不变的神经网络

Tobias Alt, Karl Schrader, Joachim Weickert, Pascal Peter, Matthias Augustin

Subjects: Machine Learning (cs.LG) ; Analysis of PDEs (math.AP) ; Numerical Analysis (math.NA)