Analysis of PDEs

Authors and titles for April 2018

[51] arXiv:1804.01899 [pdf, other]

Title: Existence and regularity of solutions for an evolution model of perfectly plastic plates

Paolo Gidoni, Giovanni Battista Maggiani, Riccardo Scala

Journal-ref: Communications on Pure and Applied Analysis 18 (2019) 1783-1826

Subjects: Analysis of PDEs (math.AP)

[52] arXiv:1804.01907 [pdf, other]

Title: Probabilistic representation for mild solution of the Navier-Stokes equations

C. Olivera

Comments: minor modifcations. arXiv admin note: text overlap with arXiv:1709.01536 by other authors

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

[53] arXiv:1804.02026 [pdf, other]

Title: Nonlocal $H$-convergence

Marcus Waurick

Comments: typos removed; accepted for publication in Calculus of Variations and Partial Differential Equations

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

[54] arXiv:1804.02034 [pdf, other]

Title: On the extensions of the De Giorgi approach to nonlinear hyperbolic equations

Lorenzo Tentarelli

Comments: 9 pages, proceeding of conference Bruxelles-Torino Talks in PDEs, Turin, May 2-5, 2016

Journal-ref: Special Issue for the conference "BruxellesTurin talks in PDE's" held in Turin, May 2-5, 2016, Rend. Semin. Mat. Univ. Politec. Torino 74 (2016), no. 3-4, 151-160

Subjects: Analysis of PDEs (math.AP)

[55] arXiv:1804.02066 [pdf, other]

Title: Multiscale modeling of magnetorheological suspensions

Grigor Nika, Bogdan Vernescu

Comments: 25 pages

Subjects: Analysis of PDEs (math.AP)

[56] arXiv:1804.02078 [pdf, other]

Title: Blow-up and global existence for the porous medium equation with reaction on a class of Cartan-Hadamard manifolds

Gabriele Grillo, Matteo Muratori, Fabio Punzo

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

[57] arXiv:1804.02111 [pdf, other]

Title: On the summability of formal solutions of some linear q-difference-differential equations

Hidetoshi Tahara

Subjects: Analysis of PDEs (math.AP)

[58] arXiv:1804.02127 [pdf, other]

Title: Strong instability of standing waves for nonlinear Schr\"odinger equations with attractive inverse power potential

Noriyoshi Fukaya, Masahito Ohta

Comments: 17 pages

Subjects: Analysis of PDEs (math.AP)

[59] arXiv:1804.02143 [pdf, other]

Title: Local marked boundary rigidity under hyperbolic trapping assumptions

Thibault Lefeuvre

Comments: 18 pages, 1 figure

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

[60] arXiv:1804.02282 [pdf, other]

Title: On weighted isoperimetric inequalities with non-radial densities

Angelo Alvino, Friedemann Brock, Francesco Chiacchio, Anna Mercaldo, Maria Rosaria Posteraro

Subjects: Analysis of PDEs (math.AP)

[61] arXiv:1804.02328 [pdf, other]

Title: Existence of solitary waves solutions for internal waves in two-layers systems

Jaime Angulo Pava, Jean-Claude Saut

Subjects: Analysis of PDEs (math.AP)

[62] arXiv:1804.02355 [pdf, other]

Title: On the regularity of the minimizer of the electrostatic Born-Infeld energy

Denis Bonheure, Alessandro Iacopetti

Subjects: Analysis of PDEs (math.AP)

[63] arXiv:1804.02390 [pdf, other]

Title: Strichartz estimates and wave equation in a conic singular space

Junyong Zhang, Jiqiang Zheng

Comments: Comments are welcome! To appear in Mathematische Annalen

Journal-ref: Mathematische Annalen (2020) 376:525-581

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

[64] arXiv:1804.02501 [pdf, other]

Title: Chemotaxis effect vs logistic damping on boundedness in the 2-D minimal Keller-Segel model

Hai-Yang Jin, Tian Xiang

Comments: 13 pages, under review

Journal-ref: 2018, Comptes Rendus de l Acad\'emie des Sciences - Series I - Mathematics

Subjects: Analysis of PDEs (math.AP)

[65] arXiv:1804.02524 [pdf, other]

Title: Local Well-posedness and Blow-up for the Half Ginzburg-Landau-Kuramoto equation with rough coefficients and potential

Luigi Forcella, Kazumasa Fujiwara, Vladimir Georgiev, Tohru Ozawa

Comments: 22 pages, no figures

Subjects: Analysis of PDEs (math.AP)

[66] arXiv:1804.02635 [pdf, other]

Title: Piecewise analytic bodies in subsonic potential flow

Volker Elling

Subjects: Analysis of PDEs (math.AP)

[67] arXiv:1804.02738 [pdf, other]

Title: Instability of the solitary wave solutions for the generalized derivative nonlinear Schr\"odinger equation in the endpoint case

Bing Li, Cui Ning

Comments: 18

Subjects: Analysis of PDEs (math.AP)

[68] arXiv:1804.02788 [pdf, other]

Title: $L^{p}$ estimates for joint quasimodes of semiclassical pseudodifferential operators

Melissa Tacy

Comments: Major theorems remain the same as V2. Curvature conditions has been relaxed (see the discussion in Section 2). This is the final version

Journal-ref: Israel Journal of Mathematics volume 232, pages 401-425 (2019)

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

[69] arXiv:1804.02807 [pdf, other]

Title: A derivation of the sharp Moser-Trudinger-Onofri inequalities from the fractional Sobolev inequalities

Jingang Xiong

Comments: 8 pages, incorporated invaluable suggestions from a referee

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

[70] arXiv:1804.02837 [pdf, other]

Title: Localisation of Spectral Sums corresponding to the sub-Laplacian on the Heisenberg Group

Rahul Garg, K. Jotsaroop

Comments: The previous version had some errors (notably, Lemma 2.3 was incorrect), and thus the main result was not true in its original form. We have corrected those errors and have rewritten the article duly incorporating some very valuable suggestions of an anonymous referee which have greatly helped in improving the presentation of the article. (Accepted for publication in Indiana Univ. Math. J.)

Journal-ref: Indiana Univ. Math. J. 71 (2022), no. 2, 579-609

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

[71] arXiv:1804.02853 [pdf, other]

Title: An extension of an unicity class for Navier-Stokes equations

Ramzi May

Comments: 19 pages

Journal-ref: AnnAnn. I. H. Poincare-AN 27 (2010) 705-718

Subjects: Analysis of PDEs (math.AP)

[72] arXiv:1804.02890 [pdf, other]

Title: How a minimal surface leaves a thin obstacle

Matteo Focardi, Emanuele Spadaro

Subjects: Analysis of PDEs (math.AP)

[73] arXiv:1804.02966 [pdf, other]

Title: On the isoperimetric problem with double density

Aldo Pratelli, Giorgio Saracco

Comments: 19 pages, 1 figure. A subscript $r$ is missing in the hypothesis of Theorem A and related Lemmas in the published version. This version contains the correct statements

Journal-ref: Nonlinear Anal. 177 B:733--752 (2018)

Subjects: Analysis of PDEs (math.AP)

[74] arXiv:1804.03180 [pdf, other]

Title: On higher integrability estimates for elliptic equations with singular coefficients

Juraj Földes, Tuoc Phan

Comments: Submitted

Subjects: Analysis of PDEs (math.AP)

[75] arXiv:1804.03319 [pdf, other]

Title: Uniqueness and convergence on equilibria of the Keller-Segel system with subcritical mass

Jun Wang, Zhi-An Wang, Wen Yang

Comments: 24 pages, 1 figure

Subjects: Analysis of PDEs (math.AP)

[76] arXiv:1804.03324 [pdf, other]

Title: Multiple solutions for a fractional Schrodinger equation with potentials

Sofiane Khoutir

Journal-ref: Rocky Mountain Journal of Mathematics-2019

Subjects: Analysis of PDEs (math.AP)

[77] arXiv:1804.03375 [pdf, other]

Title: The imaginary part of the scattering Green function: monochromatic relations to the real part and uniqueness results for inverse problems

Alexey Agaltsov (MPS), Thorsten Hohage (NAM, MPS), Roman Novikov (CMAP)

Subjects: Analysis of PDEs (math.AP)

[78] arXiv:1804.03376 [pdf, other]

Title: Local uniqueness of $m$-bubbling sequences for the Gel'fand equation

Daniele Bartolucci, Aleks Jevnikar, Youngae Lee, Wen Yang

Journal-ref: Comm. PDEs (2019)

Subjects: Analysis of PDEs (math.AP)

[79] arXiv:1804.03411 [pdf, other]

Title: Herglotz' generalized variational principle and contact type Hamilton-Jacobi equations

Piermarco Cannarsa, Wei Cheng, Kaizhi Wang, Jun Yan

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

[80] arXiv:1804.03448 [pdf, other]

Title: Multiple positive solutions for a slightly subcritical Choquard problem on bounded domains

Marco Ghimenti, Dayana Pagliardini

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

[81] arXiv:1804.03499 [pdf, other]

Title: Morse index and uniqueness of positive solutions of the Lane-Emden problem in planar domains

Francesca De Marchis, Massimo Grossi, Isabella Ianni, Filomena Pacella

Subjects: Analysis of PDEs (math.AP)

[82] arXiv:1804.03537 [pdf, other]

Title: Quantitative a Priori Estimates for Fast Diffusion Equations with Caffarelli-Kohn-Nirenberg weights. Harnack inequalities and H\"older continuity

Matteo Bonforte, Nikita Simonov

Comments: 53 pages, 2 figures. This is a much improved version of the older manuscript, thanks to the suggestions of the anonymous referee

Subjects: Analysis of PDEs (math.AP)

[83] arXiv:1804.03538 [pdf, other]

Title: Relative Entropy Method for Measure Solutions of the Growth-Fragmentation Equation

Tomasz Dębiec (MIMUW), Marie Doumic (MAMBA, WPI), Piotr Gwiazda, Emil Wiedemann

Subjects: Analysis of PDEs (math.AP)

[84] arXiv:1804.03544 [pdf, other]

Title: Wave equations on graded groups and hypoelliptic Gevrey spaces

Chiara Alba Taranto

Comments: 163 pages, dissertation, Imperial College (Oct 2017)

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

[85] arXiv:1804.03551 [pdf, other]

Title: On the Well-posedness of a Class of Non-Autonomous SPDEs: An Operator-Theoretical Perspective

Rainer Picard, Sascha Trostorff, Marcus Waurick

Comments: 20 pages; referee's comments incorporated; to appear in GAMM-Mitteilungen

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

[86] arXiv:1804.03612 [pdf, other]

Title: Convergence of a Full Discretization for a Second-Order Nonlinear Elastodynamic Equation in Isotropic and Anisotropic Orlicz Spaces

Adrian Montgomery Ruf

Comments: 22 pages. The final publication is available at this http URL

Journal-ref: Zeitschrift f\"ur angewandte Mathematik und Physik (2017) 68.5, p. 118,

Subjects: Analysis of PDEs (math.AP)

[87] arXiv:1804.03712 [pdf, other]

Title: Weighted gradient inequalities and unique continuation problems

laura De Carli, Dmitry Gorbachev, Sergey Tikhonov

Subjects: Analysis of PDEs (math.AP)

[88] arXiv:1804.03788 [pdf, other]

Title: Linear instability and uniqueness of the peaked periodic wave in the reduced Ostrovsky equation

Anna Geyer, Dmitry E. Pelinovsky

Comments: 21 pages; 2 figures

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Pattern Formation and Solitons (nlin.PS); Fluid Dynamics (physics.flu-dyn)

[89] arXiv:1804.03812 [pdf, other]

Title: Existence of multiple solutions to an elliptic problem with measure data

Amita Soni, D. Choudhuri

Subjects: Analysis of PDEs (math.AP)

[90] arXiv:1804.03940 [pdf, other]

Title: Local solutions for the Boltzmann equation

Koya Nishimura

Comments: There is an error in Proof of Theorem 2.2 (page 6, uniqueness)

Subjects: Analysis of PDEs (math.AP)

[91] arXiv:1804.03964 [pdf, other]

Title: Global solvability and stability to a nutrient-taxis model with porous medium slow diffusion

Chunhua Jin, Yifu Wang, Jingxue Yin

Subjects: Analysis of PDEs (math.AP)

[92] arXiv:1804.03978 [pdf, other]

Title: A global existence result for a semilinear wave equation with scale-invariant damping and mass in even space dimension

Alessandro Palmieri

Comments: 28 pages

Subjects: Analysis of PDEs (math.AP)

[93] arXiv:1804.04017 [pdf, other]

Title: A Mixed Discrete-Continuous Fragmentation Model

Graham Baird, Endre Süli

Subjects: Analysis of PDEs (math.AP)

[94] arXiv:1804.04019 [pdf, other]

Title: Moments and Regularity for a Boltzmann Equation via Wigner Transform

Thomas Chen, Ryan Denlinger, Natasa Pavlovic

Comments: 43 pages

Subjects: Analysis of PDEs (math.AP)

[95] arXiv:1804.04027 [pdf, other]

Title: Concentration in flux-function limits of solutions to a deposition model

Hongjun Cheng, Shiwei Li

Comments: 18 pages

Subjects: Analysis of PDEs (math.AP)

[96] arXiv:1804.04098 [pdf, other]

Title: A remark on constant mean curvature hypersurfaces in warped product manifolds

Giulio Ciraolo, Alberto Roncoroni, Luigi Vezzoni

Comments: The main result of the paper was already proved by Li and Xia in arXiv:1603.02201

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

[97] arXiv:1804.04100 [pdf, other]

Title: Constant Nonlocal Mean Curvatures surfaces and related problems

Mouhamed Moustapha Fall

Comments: Proc. Int. Cong. of Math. 2018 Rio de Janeiro, Vol. 1 (21-30)

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

[98] arXiv:1804.04193 [pdf, other]

Title: A pocket guide to nonlinear differential equations in the Musielak--Orlicz spaces

Iwona Chlebicka

Journal-ref: Nonlinear Analysis, 175 (2018), 1-27

Subjects: Analysis of PDEs (math.AP)

[99] arXiv:1804.04285 [pdf, other]

Title: H\"{o}lder Continuous Solutions to the Three-dimensional Prandtl System

Tianwen Luo, Zhouping Xin

Subjects: Analysis of PDEs (math.AP)

[100] arXiv:1804.04287 [pdf, other]

Title: Exact behavior around isolated singularity for semilinear elliptic equations with a log-type nonlinearity

Marius Ghergu, Sunghan Kim, Henrik Shahgholian

Comments: to appear in Adv. Nonlinear Anal

Subjects: Analysis of PDEs (math.AP)