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Analysis of PDEs

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Total of 95 entries : 1-50 51-95
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Thu, 14 Nov 2024 (showing 14 of 14 entries )

[1] arXiv:2411.08713 [pdf, html, other]
Title: An existence result in annular regions times conical shells and its application to nonlinear Poisson systems
Gennaro Infante, Giovanni Mascali, Jorge Rodríguez-López
Comments: 18 pages, 2 figures
Subjects: Analysis of PDEs (math.AP); Functional Analysis (math.FA)
[2] arXiv:2411.08657 [pdf, html, other]
Title: Well-posedness and inverse problems for the nonlocal third-order acoustic equation with time-dependent nonlinearity
Song-Ren Fu, Yongyi Yu
Subjects: Analysis of PDEs (math.AP)
[3] arXiv:2411.08623 [pdf, html, other]
Title: Non-local homogenization limits of discrete elastic spring network models with random coefficients
Patrick Dondl, Martin Heida, Simone Hermann
Subjects: Analysis of PDEs (math.AP)
[4] arXiv:2411.08614 [pdf, html, other]
Title: Longtime and chaotic dynamics in microscopic systems with singular interactions
Alexis Béjar-López, Alain Blaustein, Pierre-Emmanuel Jabin, Juan Soler
Subjects: Analysis of PDEs (math.AP)
[5] arXiv:2411.08585 [pdf, html, other]
Title: Hardy type inequalities with mixed cylindrical-spherical weights: the general case
Roberta Musina, Alexander I. Nazarov
Comments: 30 pages
Subjects: Analysis of PDEs (math.AP)
[6] arXiv:2411.08428 [pdf, html, other]
Title: Partially concentrating solutions for systems with Lotka-Volterra type interactions
Sabrina Caputo, Giusi Vaira
Subjects: Analysis of PDEs (math.AP)
[7] arXiv:2411.08366 [pdf, other]
Title: Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions
Ning Tang
Comments: 105 pages, 1 figure
Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)
[8] arXiv:2411.08362 [pdf, html, other]
Title: Large-scale boundary estimates of parabolic homogenization over rough boundaries
Pengxiu Yu, Yiping Zhang
Subjects: Analysis of PDEs (math.AP)
[9] arXiv:2411.08175 [pdf, html, other]
Title: Well-posedness of a Variable-Exponent Telegraph Equation Applied to Image Despeckling
Sudeb Majee, Åke Brännström, Niklas L.P. Lundström
Comments: 33 pages, 19 figures, 3 tables
Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)
[10] arXiv:2411.08829 (cross-list from math.FA) [pdf, html, other]
Title: Embeddings of anisotropic Sobolev spaces into spaces of anisotropic H\"{o}lder-continuous functions
Nabil Chems Eddine, Dušan D. Repovš
Journal-ref: Demonstr. Math. 57:1 (2024), art. 20240079, 10 pp
Subjects: Functional Analysis (math.FA); Analysis of PDEs (math.AP)
[11] arXiv:2411.08787 (cross-list from nlin.SI) [pdf, html, other]
Title: Stability analysis of breathers for coupled nonlinear Schrodinger equations
Liming Ling, Dmitry E. Pelinovsky, Huajie Su
Comments: 59 pages
Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Dynamical Systems (math.DS); Pattern Formation and Solitons (nlin.PS)
[12] arXiv:2411.08387 (cross-list from q-bio.PE) [pdf, html, other]
Title: Steady-State and Dynamical Behavior of a PDE Model of Multilevel Selection with Pairwise Group-Level Competition
Konstantinos Alexiou, Daniel B. Cooney
Comments: 60 pages. 12 figures
Subjects: Populations and Evolution (q-bio.PE); Analysis of PDEs (math.AP); Physics and Society (physics.soc-ph)
[13] arXiv:2411.08146 (cross-list from math.CA) [pdf, html, other]
Title: Semiclassical measure of the spherical harmonics by Bourgain on $\mathbb{S}^3$
Xiaolong Han
Comments: 11 pages
Subjects: Classical Analysis and ODEs (math.CA); Analysis of PDEs (math.AP); Spectral Theory (math.SP)
[14] arXiv:2411.08080 (cross-list from math.NA) [pdf, html, other]
Title: Jacobi convolution polynomial for Petrov-Galerkin scheme and general fractional calculus of arbitrary order over finite interval
Pavan Pranjivan Mehta, Gianluigi Rozza
Subjects: Numerical Analysis (math.NA); Mathematical Physics (math-ph); Analysis of PDEs (math.AP)

Wed, 13 Nov 2024 (showing 18 of 18 entries )

[15] arXiv:2411.07951 [pdf, html, other]
Title: Blowing-up solutions to competitive critical systems in dimension 3
Antonio J. Fernández, María Medina, Angela Pistoia
Subjects: Analysis of PDEs (math.AP)
[16] arXiv:2411.07838 [pdf, html, other]
Title: Two-scale density of almost smooth functions in sphere-valued Sobolev spaces: A high-contrast extension of the Bethuel-Zheng theory
Elisa Davoli, Leon Happ
Comments: 24 pages
Subjects: Analysis of PDEs (math.AP)
[17] arXiv:2411.07789 [pdf, html, other]
Title: A realtivistic Hardy-type inequality with minimisers
Luca Fanelli, Fabio Pizzichillo
Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)
[18] arXiv:2411.07756 [pdf, html, other]
Title: A variational approach to the stability in the homogenization of some Hamilton-Jacobi equations
Andrea Braides, Gianni Dal Maso, Claude Le Bris
Subjects: Analysis of PDEs (math.AP); Optimization and Control (math.OC)
[19] arXiv:2411.07743 [pdf, html, other]
Title: Finiteness Results for Non-Scattering Herglotz Waves: The case of inhomogeneities obtained by very general perturbations of disks
Michael S. Vogelius, Jingni Xiao
Subjects: Analysis of PDEs (math.AP)
[20] arXiv:2411.07727 [pdf, html, other]
Title: On non-local almost minimal sets and an application to the non-local Massari's Problem
Serena Dipierro, Enrico Valdioci, Riccardo Villa
Subjects: Analysis of PDEs (math.AP)
[21] arXiv:2411.07645 [pdf, html, other]
Title: Desingularization of vortices for the incompressible Euler equation on a sphere
Daomin Cao, Shuanglong Li, Guodong Wang
Comments: 26 pages
Subjects: Analysis of PDEs (math.AP)
[22] arXiv:2411.07639 [pdf, other]
Title: Long-time asymptotic profiles of the n-D heat equation and modified heat kernels
Kana Minami, Taku Yanagisawa
Comments: 28 pages
Subjects: Analysis of PDEs (math.AP)
[23] arXiv:2411.07437 [pdf, html, other]
Title: A note on time-asymptotic bounds with a sharp algebraic rate and a transitional exponent for the sublinear Fujita problem
David John Needham, John Christopher Meyer
Subjects: Analysis of PDEs (math.AP)
[24] arXiv:2411.07434 [pdf, html, other]
Title: Stable determination of the first order perturbation of the biharmonic operator from partial data
Boya Liu, Salem Selim
Subjects: Analysis of PDEs (math.AP)
[25] arXiv:2411.07403 [pdf, html, other]
Title: Coupled Wasserstein Gradient Flows for Min-Max and Cooperative Games
Lauren Conger, Franca Hoffmann, Eric Mazumdar, Lillian J. Ratliff
Comments: arXiv admin note: text overlap with arXiv:2307.01166
Subjects: Analysis of PDEs (math.AP); Optimization and Control (math.OC)
[26] arXiv:2411.07390 [pdf, html, other]
Title: Counting the number of stationary solutions of Partial Differential Equations via infinite dimensional sampling
Martin Kolodziejczyk, Michela Ottobre, Gideon Simpson
Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)
[27] arXiv:2411.07840 (cross-list from math.PR) [pdf, other]
Title: Central limit theorem for the focusing $\Phi^4$-measure in the infinite volume limit
Kihoon Seong, Philippe Sosoe
Comments: 83 pages
Subjects: Probability (math.PR); Mathematical Physics (math-ph); Analysis of PDEs (math.AP)
[28] arXiv:2411.07723 (cross-list from math.OC) [pdf, other]
Title: Second-order Optimality Conditions for Time-Optimal Control Problems Governed by Semilinear Parabolic Equations
Huynh Khanh, Bui Trong Kien, Arnd Rösch
Comments: 38 pages
Subjects: Optimization and Control (math.OC); Analysis of PDEs (math.AP)
[29] arXiv:2411.07712 (cross-list from math.NA) [pdf, html, other]
Title: Rate of convergence for numerical $\alpha$-dissipative solutions of the Hunter-Saxton equation
Thomas Christiansen, Katrin Grunert
Comments: 45 pages, 10 pages
Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)
[30] arXiv:2411.07680 (cross-list from math.PR) [pdf, html, other]
Title: Energy solutions of singular SPDEs on Hilbert spaces with applications to domains with boundary conditions
Lukas Gräfner, Nicolas Perkowski, Shyam Popat
Comments: 31 pages
Subjects: Probability (math.PR); Analysis of PDEs (math.AP)
[31] arXiv:2411.07511 (cross-list from math.DG) [pdf, html, other]
Title: Hessian estimates for Lagrangian mean curvature equation with Lipschitz critical and supercritical phases
Qi Ding
Comments: 44 pages. Comments are welcome!
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)
[32] arXiv:2411.07357 (cross-list from math.DG) [pdf, other]
Title: Rigidity of Asymptotically Hyperboloidal Initial Data Sets with Vanishing Mass
Sven Hirsch, Hyun Chul Jang, Yiyue Zhang
Comments: 23 pages; comments welcome!
Subjects: Differential Geometry (math.DG); General Relativity and Quantum Cosmology (gr-qc); Analysis of PDEs (math.AP)

Tue, 12 Nov 2024 (showing first 18 of 38 entries )

[33] arXiv:2411.07148 [pdf, other]
Title: Deterministic particle method for nonlinear nonlocal scalar balance equations
Emanuela Radici, Federico Stra
Comments: 26 pages, 1 figure
Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)
[34] arXiv:2411.07004 [pdf, other]
Title: Asymptotic stability of the sine-Gordon kink
Gong Chen, Jonas Luhrmann
Comments: 181 pages, 3 figures
Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)
[35] arXiv:2411.06984 [pdf, html, other]
Title: Global smooth solutions of 2-D quadratically quasilinear wave equations with null conditions in exterior domains
Fei Hou, Huicheng Yin, Meng Yuan
Subjects: Analysis of PDEs (math.AP)
[36] arXiv:2411.06956 [pdf, html, other]
Title: Optimal Liouville theorems for the Lane-Emden equation on Riemannian manifolds
Jie He, Linlin Sun, Youde Wang
Subjects: Analysis of PDEs (math.AP)
[37] arXiv:2411.06940 [pdf, other]
Title: Regularity estimates of a fluid-free surface evolution
Malte Kampschulte, Joonas Niinikoski, Sebastian Schwarzacher
Comments: 34 pages + appendix
Subjects: Analysis of PDEs (math.AP)
[38] arXiv:2411.06930 [pdf, html, other]
Title: Existence of Solutions to a super-Liouville equation with Boundary Conditions
Mingyang Han, Ruijun Wu, Chunqin Zhou
Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)
[39] arXiv:2411.06761 [pdf, other]
Title: Sobolev space theory for the heat and time-fractional heat equations in non-smooth domains
Jinsol Seo
Comments: 62 pages. Some parts of this paper are modified versions of the paper "Sobolev space theory for Poisson's and the heat equations in non-smooth domains via superharmonic functions and Hardy's inequality" (arXiv:2304.10451v1). The previous paper will remain unpublished. arXiv admin note: text overlap with arXiv:2304.10451
Subjects: Analysis of PDEs (math.AP)
[40] arXiv:2411.06748 [pdf, html, other]
Title: Global Well-posedness and Long-time Behavior of the General Ericksen--Leslie System in 2D under a Magnetic Field
Qingtong Wu
Comments: 37 pages
Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)
[41] arXiv:2411.06587 [pdf, html, other]
Title: Variational Physics-informed Neural Operator (VINO) for Solving Partial Differential Equations
Mohammad Sadegh Eshaghi, Cosmin Anitescu, Manish Thombre, Yizheng Wang, Xiaoying Zhuang, Timon Rabczuk
Subjects: Analysis of PDEs (math.AP)
[42] arXiv:2411.06533 [pdf, html, other]
Title: Existence of solutions to Dirichlet boundary value problems of the stationary relativistic Boltzmann equation
Yi Wang, Li Li, Zaihong Jiang
Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)
[43] arXiv:2411.06527 [pdf, other]
Title: On The Hydrostatic Approximation of Navier-Stokes-Maxwell System with 2D Electronic Fields
Faiq Raees, Weiren Zhao
Subjects: Analysis of PDEs (math.AP)
[44] arXiv:2411.06497 [pdf, html, other]
Title: Complex Monge-Amp\`ere equation for positive $(p,p)$ forms on compact K\"ahler manifolds
Mathew George
Subjects: Analysis of PDEs (math.AP); Algebraic Geometry (math.AG); Differential Geometry (math.DG)
[45] arXiv:2411.06494 [pdf, html, other]
Title: On hydrostatic limit of Beris-Edwards system in a thin strip
Francesco De Anna, Xingyu Li, Marius Paicu, Arghir Zarnescu
Subjects: Analysis of PDEs (math.AP)
[46] arXiv:2411.06483 [pdf, other]
Title: Quantitative bounds for bounded solutions to the Navier-Stokes equations in endpoint critical Besov spaces
Ruilin Hu, Phuoc-Tai Nguyen, Quoc-Hung Nguyen, Ping Zhang
Subjects: Analysis of PDEs (math.AP)
[47] arXiv:2411.06475 [pdf, html, other]
Title: A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production
Youshan Tao, Michael Winkler
Subjects: Analysis of PDEs (math.AP)
[48] arXiv:2411.06460 [pdf, html, other]
Title: Fluid relaxation approximation of the Busenberg--Travis cross-diffusion system
J. A. Carrillo, X. Chen, B. Du, A. Jüngel
Subjects: Analysis of PDEs (math.AP)
[49] arXiv:2411.06435 [pdf, html, other]
Title: On mappings generating embedding operators in Sobolev classes on metric measure spaces
Alexander Menovschikov, Alexander Ukhlov
Comments: 22 pages
Subjects: Analysis of PDEs (math.AP)
[50] arXiv:2411.06369 [pdf, html, other]
Title: Partial data inverse problems for the nonlinear magnetic Schr\"odinger equation
Ru-Yu Lai, Gunther Uhlmann, Lili Yan
Subjects: Analysis of PDEs (math.AP)
Total of 95 entries : 1-50 51-95
Showing up to 50 entries per page: fewer | more | all