Analysis of PDEs

Authors and titles for December 2022

[51] arXiv:2212.02798 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: A new inversion scheme for elastic diffraction tomography Show Chinese title

Title: 一种弹性衍射层析成像的新反演方案

Bochra Mejri, Otmar Scherzer

Comments: 23 pages 5 figures

Subjects: Analysis of PDEs (math.AP)

[52] arXiv:2212.02819 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Transonic limit of traveling waves of the Euler-Korteweg system Show Chinese title

Title: Euler-Korteweg系统的行波的跨音速极限

Marc-Antoine Vassenet (CEREMADE)

Subjects: Analysis of PDEs (math.AP)

[53] arXiv:2212.02824 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Ideal MHD. Part III: Inverse scattering of Alfvén waves in three dimensional ideal magnetohydrodynamics Show Chinese title

Title: 理想MHD。 第三部分：三维理想磁流体动力学中阿尔芬波的逆散射

Mengni Li

Comments: All comments are welcome

Subjects: Analysis of PDEs (math.AP)

[54] arXiv:2212.02884 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Autonomous Vehicles Driving Traffic: The Cauchy Problem Show Chinese title

Title: 自主车辆驱动交通：柯西问题

Mauro Garavello, Francesca Marcellini

Comments: 32 pages

Subjects: Analysis of PDEs (math.AP)

[55] arXiv:2212.03057 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Determining coefficients for a fractional $p$-Laplace equation from exterior measurements Show Chinese title

Title: 确定分数$p$-拉普拉斯方程的系数来自外部测量值

Manas Kar, Yi-Hsuan Lin, Philipp Zimmermann

Comments: 22 pages

Subjects: Analysis of PDEs (math.AP)

[56] arXiv:2212.03138 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system with $p$-Laplacian Show Chinese title

Title: 带有$p$-拉普拉斯的非线性薛定谔-泊松系统的无限多个变号解

Shuo Ren, Huixing Zhang, Zhen Cheng, Yan Gao

Comments: 33 pages. arXiv admin note: substantial text overlap with arXiv:1408.6870 by other authors; text overlap with arXiv:1812.09240, arXiv:1811.05881 by other authors

Subjects: Analysis of PDEs (math.AP)

[57] arXiv:2212.03139 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: An explicit formula for the Benjamin--Ono equation Show Chinese title

Title: 本杰明-翁方程的显式公式

Patrick Gerard (LMO)

Journal-ref: Tunisian J. Math. 5 (2023) 593-603

Subjects: Analysis of PDEs (math.AP)

[58] arXiv:2212.03148 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Local Hölder Stability in the Inverse Steklov and Calderón Problems for Radial Schrödinger operators and Quantified Resonances Show Chinese title

Title: 径向薛定谔算子的逆斯捷克洛夫和卡莱尔顿问题中的局部霍尔德稳定性及量化共振

Thierry Daudé (LMB), Niky Kamran, François Nicoleau (Nantes univ - UFR ST)

Comments: To appear in Annales Henri Poincar\'e

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

[59] arXiv:2212.03149 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: The role of periodicity in the solution of third order boundary value problems Show Chinese title

Title: 周期性在三阶边值问题解中的作用

B. Pelloni, D. A. Smith

Subjects: Analysis of PDEs (math.AP)

[60] arXiv:2212.03163 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Exponential ergodicity of a degenerate age-size piecewise deterministic process Show Chinese title

Title: 退化年龄-尺寸分段确定过程的指数遍历性

Ignacio Madrid (CMAP)

Journal-ref: Acta Applicandae Mathematicae, 2023, 187 (5)

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

[61] arXiv:2212.03164 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Discrete quantum harmonic oscillator and Kravchuk transform Show Chinese title

Title: 离散量子谐振子和Kravchuk变换

Quentin Chauleur (LPP, Paradyse), Erwan Faou (IRMAR, MINGUS)

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

[62] arXiv:2212.03199 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: On a kinetic Poincaré inequality and beyond Show Chinese title

Title: 关于动力学庞加莱不等式及更广泛的内容

Lukas Niebel, Rico Zacher

Comments: Revision following the referee's suggestion

Journal-ref: Journal of Functional Analysis, 289(1):110899, 2025

Subjects: Analysis of PDEs (math.AP)

[63] arXiv:2212.03310 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: The hydrostatic limit of the Beris-Edwards system in dimension two Show Chinese title

Title: 二维情况下 Beris-Edwards 系统的静水极限

Xingyu Li, Marius Paicu, Arghir Zarnescu

Comments: second, revised version

Subjects: Analysis of PDEs (math.AP)

[64] arXiv:2212.03314 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: On the sharp Hessian integrability conjecture in the plane Show Chinese title

Title: 平面上的严格Hessian可积性猜想

Thialita M. Nascimento, Eduardo V. Teixeira

Subjects: Analysis of PDEs (math.AP)

[65] arXiv:2212.03330 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Multiple solutions to Gierer-Meinhardt systems of elliptic equations Show Chinese title

Title: Gierer-Meinhardt椭圆方程组的多重解

Abdelkrim Moussaoui

Subjects: Analysis of PDEs (math.AP)

[66] arXiv:2212.03405 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: The radiation theory of radial solutions to 3D energy critical wave equations Show Chinese title

Title: 径向解的辐射理论对三维能量临界波动方程

Ruipeng Shen

Comments: 47 pages, 1 figure

Subjects: Analysis of PDEs (math.AP)

[67] arXiv:2212.03512 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Global well-posedness and convergence to equilibrium for the Abels-Garcke-Grün model with nonlocal free energy Show Chinese title

Title: 具有非局部自由能的Abels-Garcke-Grün模型的整体适定性和收敛到平衡性

Ciprian G. Gal, Andrea Giorgini, Maurizio Grasselli, Andrea Poiatti

Subjects: Analysis of PDEs (math.AP)

[68] arXiv:2212.03531 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: An explicit coercivity estimate of the linearized quantum Boltzmann operator without angular cutoff Show Chinese title

Title: 无角截断下线性化量子玻尔兹曼算子的显式强制估计

Tong Yang, Yu-Long Zhou

Subjects: Analysis of PDEs (math.AP)

[69] arXiv:2212.03542 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Bilinear pseudodifferential operators with symbol in $BS_{1,1}^m$ on Triebel-Lizorkin spaces with critical Sobolev index Show Chinese title

Title: 双线性伪微分算子，符号属于$BS_{1,1}^m$，在临界 Sobolev 指数的 Triebel-Lizorkin 空间上

Sergi Arias, Salvador Rodriguez-Lopez

Subjects: Analysis of PDEs (math.AP)

[70] arXiv:2212.03585 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Exponential stability for a nonlinear porous-elastic system with delay Show Chinese title

Title: 非线性多孔弹性系统与延迟的指数稳定性

M.J. Dos Santos, C.A. Raposo, L.G.R. Miranda, B. Feng

Comments: Manuscript, 21 pages

Journal-ref: Communications in Mathematics, Volume 31 (2023), Issue 1 (December 13, 2022) cm:10439

Subjects: Analysis of PDEs (math.AP)

[71] arXiv:2212.03642 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Analysis of a one dimensional energy dissipating free boundary model with nonlinear boundary conditions. Existence of weak solutions Show Chinese title

Title: 一维能量耗散自由边界模型与非线性边界条件的分析 弱解的存在性

Benoît Merlet, Juliette Venel, Antoine Zurek

Subjects: Analysis of PDEs (math.AP)

[72] arXiv:2212.03744 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: On fractional parabolic equations with Hardy-type potentials Show Chinese title

Title: 关于带有Hardy型势的分数抛物方程

Veronica Felli, Ana Primo, Giovanni Siclari

Comments: 34 pages

Subjects: Analysis of PDEs (math.AP)

[73] arXiv:2212.03758 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Finite-time blow-up to hyperbolic Keller-Segel system of consumption type with logarithmic sensitivity Show Chinese title

Title: 有限时间爆破解的消耗型双曲Keller-Segel系统与对数敏感性

Jungkyoung Na

Comments: 18 pages

Subjects: Analysis of PDEs (math.AP)

[74] arXiv:2212.03779 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Global well-posedness for a two-dimensional Keller-Segel-Euler system of consumption type Show Chinese title

Title: 二维消耗型Keller-Segel-Euler系统的整体适定性

Jungkyoung Na

Comments: 17 pages

Subjects: Analysis of PDEs (math.AP)

[75] arXiv:2212.03841 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Existence and structure of solutions for general $P$-area minimizing surface Show Chinese title

Title: 一般$P$-面积最小曲面解的存在性与结构

Amir Moradifam, Alexander Rowell

Comments: arXiv admin note: text overlap with arXiv:2104.08624

Subjects: Analysis of PDEs (math.AP)