Analysis of PDEs

Authors and titles for April 2018

[151] arXiv:1804.06753 [pdf, other]

Title: The radial mass-subcritical NLS in negative order Sobolev spaces

Rowan Killip, Satoshi Masaki, Jason Murphy, Monica Visan

Comments: 31 pages

Journal-ref: Discrete Contin. Dyn. Syst. Series-A 39 (2019), no. 1, 553-583

Subjects: Analysis of PDEs (math.AP)

[152] arXiv:1804.06758 [pdf, other]

Title: Clamping and Synchronization in the strongly coupled FitzHugh-Nagumo model

Cristobal Quiñinao, Jonathan D. Touboul

Comments: Added reference to the recent arxiv preprint [20]

Subjects: Analysis of PDEs (math.AP); Neurons and Cognition (q-bio.NC)

[153] arXiv:1804.06765 [pdf, other]

Title: Further results on the asymptotic behavior of a 2D overhead crane with input delays: Exponential convergence

Kaïs Ammari, Boumediène Chentouf

Subjects: Analysis of PDEs (math.AP)

[154] arXiv:1804.06767 [pdf, other]

Title: Note on exponential and polynomial convergence for a delayed wave equation without displacement

Kaïs Ammari, Boumediène Chentouf

Subjects: Analysis of PDEs (math.AP)

[155] arXiv:1804.06773 [pdf, other]

Title: Local well-posedness for low regularity data for the higher-dimensional Maxwell-Klein-Gordon system in Lorenz gauge

Hartmut Pecher

Comments: 20 pages. arXiv admin note: substantial text overlap with arXiv:1705.00599

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

[156] arXiv:1804.06825 [pdf, other]

Title: On the nature of Hawking's incompleteness for the Einstein-vacuum equations: The regime of moderately spatially anisotropic initial data

Igor Rodnianski, Jared Speck

Comments: 73 pages

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

[157] arXiv:1804.06916 [pdf, other]

Title: Rigorous justification of Taylor dispersion via center manifolds and hypocoercivity

Margaret Beck, Osman Chaudhary, C. Eugene Wayne

Comments: 37 pages, 0 figures

Subjects: Analysis of PDEs (math.AP)

[158] arXiv:1804.06971 [pdf, other]

Title: Uniqueness of Equilibrium with Sufficiently Small Strains in Finite Elasticity

Daniel Spector, Scott J. Spector

Comments: 39 pages

Subjects: Analysis of PDEs (math.AP)

[159] arXiv:1804.07002 [pdf, other]

Title: On the mean-field limit for the Vlasov-Poisson-Fokker-Planck system

Hui Huang, Jian-Guo Liu, Peter Pickl

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

[160] arXiv:1804.07009 [pdf, other]

Title: Non-degeneracy and uniqueness of solutions to singular mean field equations on bounded domains

Daniele Bartolucci, Aleks Jevnikar, Chang-Shou Lin

Journal-ref: J. Diff. Eq. (2018)

Subjects: Analysis of PDEs (math.AP)

[161] arXiv:1804.07025 [pdf, other]

Title: Best constants for two families of higher order critical Sobolev embeddings

Itai Shafrir, Daniel Spector

Subjects: Analysis of PDEs (math.AP)

[162] arXiv:1804.07075 [pdf, other]

Title: Traveling waves for the quartic focusing Half Wave equation in one space dimension

Jacopo Bellazzini, Vladimir Georgiev, Nicola Visciglia

Comments: 20 pages

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

[163] arXiv:1804.07175 [pdf, other]

Title: Existence of weak solutions to first-order stationary mean-field games with Dirichlet conditions

Rita Ferreira, Diogo Gomes, Teruo Tada

Comments: 15 pages

Subjects: Analysis of PDEs (math.AP)

[164] arXiv:1804.07363 [pdf, other]

Title: On the Blow up criterion of 3D-Navier-Stokes equation in $\dot H^{5/2}$

Jamel Benameur, Hajer Orf

Subjects: Analysis of PDEs (math.AP)

[165] arXiv:1804.07485 [pdf, other]

Title: A counterexample to the Liouville property of some nonlocal problems

Julien Brasseur (I2M, INRA), Jérôme Coville (BIOSP)

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

[166] arXiv:1804.07502 [pdf, other]

Title: A DeGiorgi type conjecture for minimal solutions to a nonlinear Stokes equation

Radu Ignat, Antonin Monteil

Subjects: Analysis of PDEs (math.AP)

[167] arXiv:1804.07517 [pdf, other]

Title: Two-phase two-component flow in porous medium in low solubility regime

Mladen Jurak, Ivana Radisic, Ana Zgaljic Keko

Subjects: Analysis of PDEs (math.AP)

[168] arXiv:1804.07526 [pdf, other]

Title: An existence result for a constrained two-phase transition model with metastable phase for vehicular traffic

Mohamed Benyahia (GSSI), Carlotta Donadello (LMB), Nikodem Dymski (UMCS), Massimiliano D. Rosini (UniFE)

Subjects: Analysis of PDEs (math.AP)

[169] arXiv:1804.07564 [pdf, other]

Title: Unique continuation for many-body Schr\"odinger operators and the Hohenberg-Kohn theorem

Louis Garrigue

Comments: This is a corrected version of the published article

Journal-ref: Math Phys Anal Geom (2018)

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

[170] arXiv:1804.07611 [pdf, other]

Title: Regular solutions to the fractional Euler alignment system in the Besov spaces framework

Raphaël Danchin, Piotr B. Mucha, Jan Peszek, Bartosz Wróblewski

Subjects: Analysis of PDEs (math.AP)

[171] arXiv:1804.07618 [pdf, other]

Title: Existence and profile of ground-state solutions to a $1-$Laplacian problem in $\mathbb{R}^N$

Claudianor O. Alves, Giovany M. Figueiredo, Marcos T. O. Pimenta

Comments: arXiv admin note: text overlap with arXiv:1702.06718

Subjects: Analysis of PDEs (math.AP)

[172] arXiv:1804.07623 [pdf, other]

Title: The generalized H\"older and Morrey-Campanato Dirichlet problems for elliptic systems in the upper-half space

Juan José Marín, José María Martell, Marius Mitrea

Comments: Minor corrections

Journal-ref: This is a pre-print of an article published in Potential Anal. 2019

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

[173] arXiv:1804.07624 [pdf, other]

Title: Convex Integration for Diffusion Equations

Baisheng Yan

Comments: 24 pages

Subjects: Analysis of PDEs (math.AP)

[174] arXiv:1804.07664 [pdf, other]

Title: Dynamics near the solitary waves of the supercritical gKDV Equations

Jiayin Jin, Zhiwu Lin, Chongchun Zeng

Subjects: Analysis of PDEs (math.AP)

[175] arXiv:1804.07685 [pdf, other]

Title: Vanishing estimates for fully bubbling solutions of $SU(n+1)$ Toda Systems at a singular source

Lei Zhang

Comments: 17 pages

Subjects: Analysis of PDEs (math.AP)

[176] arXiv:1804.07850 [pdf, other]

Title: Linear Stability of Compressible Vortex Sheets in 2D Elastodynamics: Variable Coefficients

Robin Ming Chen, Jilong Hu, Dehua Wang

Subjects: Analysis of PDEs (math.AP)

[177] arXiv:1804.07856 [pdf, other]

Title: Regularity results for the time-harmonic Maxwell equations with impedance boundary condition

Peipei Lu, Yun Wang, Xuejun Xu

Subjects: Analysis of PDEs (math.AP)

[178] arXiv:1804.07859 [pdf, other]

Title: Solvability of generalized div-curl system and Friedrichs inequalities

Yun Wang

Subjects: Analysis of PDEs (math.AP)

[179] arXiv:1804.07894 [pdf, other]

Title: Decay of solutions of diffusive Oldroyd-B system in $\mathbb{R}^2$

Joonhyun La

Subjects: Analysis of PDEs (math.AP)

[180] arXiv:1804.07902 [pdf, other]

Title: Rate-independent damage in thermo-viscoelastic materials with inertia

Giuliano Lazzaroni, Riccarda Rossi, Marita Thomas, Rodica Toader

Subjects: Analysis of PDEs (math.AP)

[181] arXiv:1804.07977 [pdf, other]

Title: A sub-supersolution approach for some classes of nonlocal problems involving Orlicz spaces

Giovany M. Figueiredo, Abdelkrim Moussaoui, Gelson C. G. dos Santos, Leandro S. Tavares

Subjects: Analysis of PDEs (math.AP)

[182] arXiv:1804.07992 [pdf, other]

Title: Pullback dynamics of 2D incompressible non-autonomous Navier-Stokes equation on Lipschitz-like domain

Xin-Guang Yang, Yuming Qin, To Fu Ma, Yongjin Lu

Subjects: Analysis of PDEs (math.AP); Dynamical Systems (math.DS)

[183] arXiv:1804.08002 [pdf, other]

Title: Explicit estimates on positive supersolutions of nonlinear elliptic equations and applications

A. Aghajani, C. Cowan

Subjects: Analysis of PDEs (math.AP)

[184] arXiv:1804.08084 [pdf, other]

Title: Coron problem for nonlocal equations invloving Choquard nonlinearity

Divya Goel, Vicentiu D. Radulescu, K. Sreenadh

Comments: 26pages

Subjects: Analysis of PDEs (math.AP)

[185] arXiv:1804.08099 [pdf, other]

Title: An approximation theorem of Runge type for kernels of certain non-elliptic partial differential operators

Thomas Kalmes

Comments: accepted for publication in Bulletin des Sciences Mathématiques

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

[186] arXiv:1804.08188 [pdf, other]

Title: Equivariant heat and Schr\"odinger flows from Euclidean space to complex projective space

James Fennell

Subjects: Analysis of PDEs (math.AP)

[187] arXiv:1804.08190 [pdf, other]

Title: Resonant Hamiltonian systems associated to the one-dimensional nonlinear Schr\"odinger equation with harmonic trapping

James Fennell

Subjects: Analysis of PDEs (math.AP)

[188] arXiv:1804.08203 [pdf, other]

Title: Convergence of the Ginzburg-Landau approximation for the Ericksen-Leslie system

Zhewen Feng, Min-Chun Hong, Yu Mei

Subjects: Analysis of PDEs (math.AP)

[189] arXiv:1804.08215 [pdf, other]

Title: Radial symmetry of positive entire solutions of a fourth order elliptic equation with a singular nonlinearity

Zongming Guo, Long Wei, Feng Zhou

Subjects: Analysis of PDEs (math.AP)

[190] arXiv:1804.08238 [pdf, other]

Title: Local near-Beltrami structure and depletion of the nonlinearity in the 3D Navier-Stokes flows

Aseel Farhat, Zoran Grujic

Comments: final version; to appear in JNLS

Subjects: Analysis of PDEs (math.AP)

[191] arXiv:1804.08272 [pdf, other]

Title: The bidomain problem as a gradient system

Zakaria Belhachmi, Ralph Chill

Comments: 15 pages

Subjects: Analysis of PDEs (math.AP)

[192] arXiv:1804.08283 [pdf, other]

Title: Approximate conditions admitted by classes of the Lagrangian ${\cal L}=\frac12\left(-u'^2+u^2\right)+\epsilon^iG_i(u, u^\prime, u^{\prime\prime})$

Sameerah Jamal, Nkosingiphile Mnguni

Comments: 19 pages, 1 table, to appear in Applied Mathematics and Computation

Subjects: Analysis of PDEs (math.AP)

[193] arXiv:1804.08291 [pdf, other]

Title: Linear inviscid damping and enhanced viscous dissipation of shear flows by using the conjugate operator method

Emmanuel Grenier, Toan T. Nguyen, Frédéric Rousset, Avy Soffer

Comments: 18 pages

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

[194] arXiv:1804.08392 [pdf, other]

Title: Driven particle flux through a membrane: Two-scale asymptotics of a diffusion equation with polynomial drift

Emilio N. M. Cirillo, Ida de Bonis, Adrian Muntean, Omar Richardson

Comments: 6 figures

Subjects: Analysis of PDEs (math.AP)

[195] arXiv:1804.08394 [pdf, other]

Title: The Multidimensional Damped Wave Equation: Maximal Weak Solutions for Nonlinear Forcing via Semigroups and Approximation

Joseph W Jerome

Comments: 16 pages

Subjects: Analysis of PDEs (math.AP)

[196] arXiv:1804.08398 [pdf, other]

Title: The fractional Schr\"odinger equation with general nonnegative potentials. The weighted space approach

Jesús Ildefonso Díaz, David Gómez-Castro, Juan Luis Vázquez

Subjects: Analysis of PDEs (math.AP)

[197] arXiv:1804.08447 [pdf, other]

Title: Sharp off-diagonal weighted weak type estimates for sparse operators

Qianjun He, Dunyan Yan

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

[198] arXiv:1804.08490 [pdf, other]

Title: Global existence of quasi-stratified solutions for the confined IPM equation

Angel Castro, Diego Córdoba, Daniel Lear

Comments: 24 pages. Updated funding

Subjects: Analysis of PDEs (math.AP)

[199] arXiv:1804.08563 [pdf, other]

Title: A Theory of Transfers: Duality and convolution

Malcolm Bowles, Nassif Ghoussoub

Comments: 41 pages, Updated version - if any - can be downloaded at this http URL

Subjects: Analysis of PDEs (math.AP)

[200] arXiv:1804.08573 [pdf, other]

Title: Bernoulli free boundary problem for the infinity Laplacian

Graziano Crasta, Ilaria Fragalà

Comments: 24 pages, 3 figures

Subjects: Analysis of PDEs (math.AP)