Analysis of PDEs

Authors and titles for March 2025

[76] arXiv:2503.04361 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: On sign-changing solutions for mixed local and nonlocal $p$-Laplace operator Show Chinese title

Title: 关于混合局部和非局部$p$-拉普拉斯算子的变号解

Souvik Bhowmick, Sekhar Ghosh

Comments: 41 pages

Subjects: Analysis of PDEs (math.AP)

[77] arXiv:2503.04384 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Time derivative estimates for parabolic $p$-Laplace equations and applications to optimal regularity Show Chinese title

Title: 抛物型$p$-拉普拉斯方程的时间导数估计及其在最优正则性中的应用

Se-Chan Lee, Yuanyuan Lian, Hyungsung Yun, Kai Zhang

Comments: 21 pages

Subjects: Analysis of PDEs (math.AP)

[78] arXiv:2503.04425 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Stable blowup for supercritical wave maps into perturbed spheres Show Chinese title

Title: 超临界波映射在扰动球面上的稳定爆破解

Roland Donninger, Birgit Schörkhuber, Alexander Wittenstein

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

[79] arXiv:2503.04467 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: A Short Survey of the Well-posedness of the Two-dimensional Burgers' Equation Show Chinese title

Title: 二维Burgers方程的适定性简要综述

Xiang Zhang, Shuhan Xie, Yule Sun

Subjects: Analysis of PDEs (math.AP)

[80] arXiv:2503.04536 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Double metasurfaces and Optimal transport Show Chinese title

Title: 双超表面和最优传输

Irem Altiner, Cristian E. Gutiérrez

Comments: 35 pages, 2 figures. This replaces Version 1, where the results were demonstrated using flows. Additionally, the multimarginal Monge problem and its application discussed in Version 1 are not included in this version and will be addressed in a separate paper

Subjects: Analysis of PDEs (math.AP) ; Materials Science (cond-mat.mtrl-sci) ; Optics (physics.optics)

[81] arXiv:2503.04640 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Viscous approximation of triangular system in 1-d with nonlinear viscosity Show Chinese title

Title: 一维三角系统的粘性逼近，具有非线性粘性

Boris Haspot, Animesh Jana

Subjects: Analysis of PDEs (math.AP)

[82] arXiv:2503.04703 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Sharp multipolar $L^p$-Hardy-type inequalities on Riemannian manifolds Show Chinese title

Title: 尖锐的多极$L^p$- Hardy 型不等式在黎曼流形上的研究

Cristian Ciulică, Teodor Rugină

Comments: 16 pages

Subjects: Analysis of PDEs (math.AP)

[83] arXiv:2503.04917 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Wave Decay with Singular Damping Show Chinese title

Title: 具有奇异阻尼的波的衰减

Hans Christianson, Emmanuel Schenck, Michael Taylor

Subjects: Analysis of PDEs (math.AP)

[84] arXiv:2503.05038 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Vectorial Kato inequality for $p$-harmonic maps with optimal constant Show Chinese title

Title: 向量型Kato不等式对于具有最佳常数的$p$-调和映射的应用

Andreas Gastel, Katarzyna Mazowiecka, Michał Miśkiewicz

Comments: 24 pages, 3 figures

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

[85] arXiv:2503.05069 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: On the continuous properties for the 3D incompressible rotating Euler equations Show Chinese title

Title: 关于三维不可压缩旋转欧拉方程的连续性质

Jinlu Li, Yanghai Yu, Neng Zhu

Subjects: Analysis of PDEs (math.AP)

[86] arXiv:2503.05140 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Mixed norm estimates for dilated averages over planar curves Show Chinese title

Title: 平面曲线上的扩张平均值的混合范数估计

Junfeng Li, Zengjian Lou, Haixia Yu

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

[87] arXiv:2503.05232 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Growth-fragmentation model for a population presenting heterogeneity in growth rate: Malthus parameter and long-time behavior Show Chinese title

Title: 具有生长率异质性的种群的生长分裂模型：马尔萨斯参数和长时间行为

Anaïs Rat (MAMBA, ECM, AMU, I2M, LJLL, CNRS), Magali Tournus (I2M, AMU, ECM, CNRS)

Subjects: Analysis of PDEs (math.AP)

[88] arXiv:2503.05267 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Transmission problems and domain decompositions for non-autonomous parabolic equations on evolving domains Show Chinese title

Title: 传输问题和非自治抛物方程在演化域上的区域分解

Amal Alphonse, Ana Djurdjevac, Emil Engström, Eskil Hansen

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

[89] arXiv:2503.05294 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Corrigendum to "Spectral optimization for weighted anisotropic problems with Robin conditions" [J. Differ. Equ. 378, 303--338, 2024] Show Chinese title

Title: 更正 "带有罗宾条件的加权各向异性问题的谱优化" [J. Differ. Equ. 378, 303--338, 2024]

B. Pellacci, G. Pisante, D. Schiera

Comments: The manuscript is a corrigendum to arXiv:2303.01401

Subjects: Analysis of PDEs (math.AP)

[90] arXiv:2503.05352 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: On the $\mathcal R$-boundedness of solution operators for a compressible fluid model of Korteweg type in general domains Show Chinese title

Title: 关于一般区域中Korteweg型可压缩流体模型解算子的$\mathcal R$有界性

Sri Maryani, Miho Murata

Comments: 33 pages

Subjects: Analysis of PDEs (math.AP)

[91] arXiv:2503.05410 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Decay of solutions of nonlinear Dirac equations Show Chinese title

Title: 非线性狄拉克方程解的衰减

Sebastian Herr, Christopher Maulén, Claudio Muñoz

Comments: V3: Updated references

Subjects: Analysis of PDEs (math.AP)

[92] arXiv:2503.05503 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Steady bubbles and drops in inviscid fluids Show Chinese title

Title: 无粘性流体中的稳定气泡和液滴

David Meyer, Lukas Niebel, Christian Seis

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

[93] arXiv:2503.05686 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: First order non-instantaneous corrections in collisional kinetic alignment models Show Chinese title

Title: 一阶非瞬时校正的碰撞动力学对齐模型

Laura Kanzler, Carmela Moschella, Christian Schmeiser

Comments: 15 pages

Subjects: Analysis of PDEs (math.AP)

[94] arXiv:2503.05692 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Global dissipative solutions of the 3D Naiver-Stokes and MHD equations Show Chinese title

Title: 三维纳维-斯托克斯和MHD方程的全局耗散解

Alexey Cheskidov, Zirong Zeng, Deng Zhang

Comments: 51 pages, 2 figures

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

[95] arXiv:2503.05841 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Low Mach number limit for the diffusion approximation model in radiation hydrodynamics at equilibrium-diffusion regime Show Chinese title

Title: 平衡扩散区域中辐射流体力学扩散近似模型的低马赫数极限

Kwang-Il Choe, Dae-Won Choe, Myong Chol Pak

Comments: 26 pages

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

[96] arXiv:2503.05885 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Fourier mass lower bounds for Batchelor-regime passive scalars Show Chinese title

Title: 傅里叶质量在批量规则被动标量中的下界

William Cooperman, Keefer Rowan

Comments: 19 pages, comments welcome!

Subjects: Analysis of PDEs (math.AP)

[97] arXiv:2503.05889 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Singular nonlocal elliptic systems via nonlinear Rayleigh quotient Show Chinese title

Title: 奇异非局部椭圆系统通过非线性瑞利商

Edcarlos D Silva, Elaine A. F. Leite, Maxwell L. Silva

Subjects: Analysis of PDEs (math.AP)

[98] arXiv:2503.05894 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Multiplicity of solutions for singular elliptic problems with Stein-Weiss term Show Chinese title

Title: 具有Stein-Weiss项的奇异椭圆问题的解的多重性

Márcia S. B. A. Cardoso, Edcarlos D. Silva, Marcos. L. M. Carvalho, Minbo Yang

Subjects: Analysis of PDEs (math.AP)

[99] arXiv:2503.05903 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Gradient estimates for the fractional $p$-Poisson equation Show Chinese title

Title: 分数$p$-泊松方程的梯度估计

Verena Bögelein, Frank Duzaar, Naian Liao, Kristian Moring

Subjects: Analysis of PDEs (math.AP)

[100] arXiv:2503.06082 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Fractional De Giorgi conjecture in dimension 2 via complex-plane methods Show Chinese title

Title: 通过复平面方法证明二维分数德乔治猜想

Serena Dipierro, João Gonçalves da Silva, Giorgio Poggesi, Enrico Valdinoci

Subjects: Analysis of PDEs (math.AP)