Analysis of PDEs

Authors and titles for April 2018

[1] arXiv:1804.00078 [pdf, other]

Title: On global dynamics of the Maxwell-Klein-Gordon equations

Shiwu Yang, Pin Yu

Comments: 48 pages! Comments are welcome!

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

[2] arXiv:1804.00081 [pdf, other]

Title: On the growth of the support of positive vorticity for 2D Euler equation in an infinite cylinder

Kyudong Choi, Sergey Denisov

Comments: 14 pages

Subjects: Analysis of PDEs (math.AP)

[3] arXiv:1804.00239 [pdf, other]

Title: Existence and nonexistence to exterior Dirichlet problem For Monge-Amp\`ere equation

Yanyan Li, Siyuan Lu

Subjects: Analysis of PDEs (math.AP)

[4] arXiv:1804.00273 [pdf, other]

Title: Wellposedness of a nonlinear peridynamic model

Giuseppe Maria Coclite, Serena Dipierro, Francesco Maddalena, Enrico Valdinoci

Subjects: Analysis of PDEs (math.AP)

[5] arXiv:1804.00368 [pdf, other]

Title: Long Time Asymptotics of Heat Kernels and Brownian Winding Numbers on Manifolds with Boundary

Xi Geng, Gautam Iyer

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

[6] arXiv:1804.00400 [pdf, other]

Title: Spikes of the two-component elliptic system in $\bbr^4$ with Sobolev critical exponent

Yuanze Wu, Wenming Zou

Comments: 39 pages

Subjects: Analysis of PDEs (math.AP)

[7] arXiv:1804.00474 [pdf, other]

Title: Elliptic problems in the sense of Lawruk with boundary operators of higher orders in refined Sobolev scale

Tetiana Kasirenko, Iryna Chepurukhina

Comments: 26 pages

Journal-ref: Transactions of Institute of Mathematics of NAS of Ukraine 14 (2017), no. 3, 161--203

Subjects: Analysis of PDEs (math.AP)

[8] arXiv:1804.00534 [pdf, other]

Title: Nonlocal Harnack inequalities for nonlocal heat equations

Yong-Cheol Kim

Comments: Several errors and typo errors was corrected

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

[9] arXiv:1804.00549 [pdf, other]

Title: A ghost imaging modality in a random waveguide

Liliana Borcea, Josselin Garnier

Comments: 34 pages, 4 figures

Subjects: Analysis of PDEs (math.AP)

[10] arXiv:1804.00552 [pdf, other]

Title: Imaging through a scattering medium by speckle intensity correlations

Josselin Garnier, Knut Solna

Comments: 23 pages, 1 figure

Subjects: Analysis of PDEs (math.AP)

[11] arXiv:1804.00560 [pdf, other]

Title: A blowup solution of a complex semi-linear heat equation with an irrational power

Giao Ky Duong

Comments: arXiv admin note: text overlap with arXiv:1712.07183

Subjects: Analysis of PDEs (math.AP)

[12] arXiv:1804.00711 [pdf, other]

Title: Approximation of mild solutions of a semilinear fractional elliptic equation with random noise

Ho Duy Binh, Erkan Nane, Nguyen Huy Tuan

Comments: 14 pages; submitted for publication

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

[13] arXiv:1804.00724 [pdf, other]

Title: A regularized weighted least gradient problem for conductivity imaging

Alexandru Tamasan, Alexander Timonov

Subjects: Analysis of PDEs (math.AP)

[14] arXiv:1804.00747 [pdf, other]

Title: Analysis of thresholding for codimension two motion by mean curvature: a gradient-flow approach

Tim Laux, Aaron Yip

Comments: 42 pages, 2 figures

Subjects: Analysis of PDEs (math.AP)

[15] arXiv:1804.00751 [pdf, other]

Title: On Local Lipschitz Regularity For Quasilinear equations in the Heisenberg Group

Shirsho Mukherjee

Comments: 25 pages

Journal-ref: Nonlinear Analysis Volume 212, November 2021, 112453

Subjects: Analysis of PDEs (math.AP)

[16] arXiv:1804.00756 [pdf, other]

Title: Subwavelength localized modes for acoustic waves in bubbly crystals with a defect

Habib Ammari, Brian Fitzpatrick, Erik Orvehed Hiltunen, Sanghyeon Yu

Comments: 19 pages, 4 figures, typos corrected, added argument to account for dilute regime

Journal-ref: SIAM J. Appl. Math., 78(6), 3316-3335, 2018

Subjects: Analysis of PDEs (math.AP)

[17] arXiv:1804.00765 [pdf, other]

Title: Starshapedeness for fully-nonlinear equations in Carnot groups

Federica Dragoni, Nicola Garofalo, Paolo Salani

Comments: Accepted for publication in the Journal of the London Mathematical Society

Subjects: Analysis of PDEs (math.AP)

[18] arXiv:1804.00788 [pdf, other]

Title: Cartesian currents in fractional Sobolev spaces and applications to functions of bounded higher variation

Qiang Tu, Chuanxi Wu

Comments: 27 pages

Subjects: Analysis of PDEs (math.AP)

[19] arXiv:1804.00790 [pdf, other]

Title: Optimal function spaces for the weak continuity of the distributional $k$-Hessian

Qiang Tu, Wenyi Chen

Comments: 20 pages

Subjects: Analysis of PDEs (math.AP)

[20] arXiv:1804.00817 [pdf, other]

Title: On Isolated Singularities of Fractional Semi-Linear Elliptic Equations

Hui Yang, Wenming Zou

Comments: 19 pages

Subjects: Analysis of PDEs (math.AP)

[21] arXiv:1804.00853 [pdf, other]

Title: Mass-conserving solutions to the Smoluchowski coagulation equation with singular kernel

Prasanta Kumar Barik, Ankik Kumar Giri, Philippe Laurençot

Subjects: Analysis of PDEs (math.AP)

[22] arXiv:1804.00878 [pdf, other]

Title: An inverse problem for an electroseismic model describing the coupling phenomenon of electromagnetic and seismic waves

Eric Bonnetier, Faouzi Triki, Qi Xue

Subjects: Analysis of PDEs (math.AP)

[23] arXiv:1804.00903 [pdf, other]

Title: Sign changing solutions of Poisson's equation

Michiel van den Berg, Dorin Bucur

Comments: 27 pages, 2 figures, various minor typos have been corrected

Subjects: Analysis of PDEs (math.AP)

[24] arXiv:1804.00936 [pdf, other]

Title: On the structure of positive solutions for a class of quasilinear equations

Willian Cintra, Everaldo Medeiros, Uberlandio Severo

Subjects: Analysis of PDEs (math.AP)

[25] arXiv:1804.00972 [pdf, other]

Title: Well-posedness of the free boundary problem in incompressible elastodynamics under the mixed type stability condition

Xumin Gu, Fan Wang

Comments: arXiv admin note: substantial text overlap with arXiv:1609.07013, arXiv:1712.02152 and text overlap with arXiv:1705.11120 by other authors

Subjects: Analysis of PDEs (math.AP)

[26] arXiv:1804.00973 [pdf, other]

Title: On the blow-up solutions for the fractional nonlinear Schr\"odinger equation with combined power-type nonlinearities

Binhua Feng

Comments: 26 pages, Accepted, Communications on Pure and Applied Analysis, 2018. arXiv admin note: substantial text overlap with arXiv:1803.11343

Subjects: Analysis of PDEs (math.AP)

[27] arXiv:1804.00985 [pdf, other]

Title: Note for global existence of semilinear heat equation in weighted $L^\infty$

Kazumasa Fujiwara, Vladimir Georgiev, Tohru Ozawa

Comments: We withdraw this manuscript because a similar argument has already been discussed by T. Cazenave, F. Dickstein, and F.B. Weissler, Universal solutions of a nonlinear heat equation on $\mathbb R^N$, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 2 (2003), no. 1, 77 -- 117

Subjects: Analysis of PDEs (math.AP)

[28] arXiv:1804.01056 [pdf, other]

Title: Strong Comparison Principles for Some Nonlinear Degenerate Elliptic Equations

YanYan Li, Bo Wang

Journal-ref: Acta Math. Sci. Ser. B (Engl. Ed. ) 38 (2018), no. 5, pp. 1583--1590

Subjects: Analysis of PDEs (math.AP)

[29] arXiv:1804.01067 [pdf, other]

Title: An elliptic regularity theorem for fractional partial differential operators

Arran Fernandez

Comments: 10 pages, 1 figure; accepted for publication in Computational & Applied Mathematics

Subjects: Analysis of PDEs (math.AP); Complex Variables (math.CV)

[30] arXiv:1804.01135 [pdf, other]

Title: A hybrid inverse problem in the fluorescence ultrasound modulated optical tomography in the diffusive regime

Wei Li, Yang Yang, Yimin Zhong

Comments: 21 pages, 12 figures

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

[31] arXiv:1804.01252 [pdf, other]

Title: Prescribing a heat flux coming from a wave equation

Masaru Ikehata

Comments: 19 pages, the final version

Journal-ref: J. Inverse Ill-Posed Problems, 27(2019), No.5, 731-744

Subjects: Analysis of PDEs (math.AP)

[32] arXiv:1804.01261 [pdf, other]

Title: About the quadratic Szeg{\"o} hierarchy

Joseph Thirouin (LM-Orsay)

Subjects: Analysis of PDEs (math.AP)

[33] arXiv:1804.01263 [pdf, other]

Title: Rigorous derivation of the nonlocal reaction-diffusion FitzHugh-Nagumo system

Joachim Crevat, Grégory Faye (IMT), Francis Filbet (IMT)

Subjects: Analysis of PDEs (math.AP)

[34] arXiv:1804.01299 [pdf, other]

Title: Boundary H\"{o}lder Regularity for Elliptic Equations

Yuanyuan Lian, Kai Zhang, Dongsheng Li, Guanghao Hong

Comments: to appear in Journal de Mathématiques Pures et Appliquées

Subjects: Analysis of PDEs (math.AP)

[35] arXiv:1804.01313 [pdf, other]

Title: Heat kernels of non-symmetric L\'evy-type operators

Tomasz Grzywny, Karol Szczypkowski

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

[36] arXiv:1804.01319 [pdf, other]

Title: On the local boundedness of generalized minimizers of variational problems with linear growth

Michael Bildhauer, Martin Fuchs, Jan Mueller, Xiao Zhong

Journal-ref: Annali di Matematica Pura ed Applicata (1923 -), pp 1-13

Subjects: Analysis of PDEs (math.AP)

[37] arXiv:1804.01324 [pdf, other]

Title: Convex Regularization of Multi-Channel Images Based on Variants of the TV-Model

Martin Fuchs, Jan Mueller, Christian Tietz, Joachim Weickert

Journal-ref: Complex Variables and Elliptic Equations (Special issue dedicated to 130th anniversary of Vladimir I. Smirnov), 2017

Subjects: Analysis of PDEs (math.AP)

[38] arXiv:1804.01338 [pdf, other]

Title: Abstract formulation of the Cole-Hopf transform

Yoritaka Iwata

Comments: To be published in Methods of Functional Analysis and Topology; ver.2 (v2) is the accepted version

Journal-ref: Methods Funct. Anal. Topology 25 (2019), no. 2, 142-151

Subjects: Analysis of PDEs (math.AP); Functional Analysis (math.FA); Exactly Solvable and Integrable Systems (nlin.SI)

[39] arXiv:1804.01415 [pdf, other]

Title: Some functional inequalities for the fractional p-sub-Laplacian

Aidyn Kassymov, Durvudkhan Suragan

Comments: a typo corrected version. 14 pages. submitted

Subjects: Analysis of PDEs (math.AP)

[40] arXiv:1804.01506 [pdf, other]

Title: Global Existence for the Derivative Nonlinear Schr\"{o}dinger Equation with Arbitrary Spectral Singularities

Robert Jenkins, Jiaqi Liu, Peter Perry, Catherine Sulem

Comments: 40 pages, 10 figures, revised per referee comments

Journal-ref: Analysis & PDE 13 (2020) 1539-1578

Subjects: Analysis of PDEs (math.AP)

[41] arXiv:1804.01596 [pdf, other]

Title: Uniqueness results for Zakharov-Kuznetsov equation

Lucrezia Cossetti, Luca Fanelli, Felipe Linares

Comments: 33 pages

Subjects: Analysis of PDEs (math.AP)

[42] arXiv:1804.01628 [pdf, other]

Title: New lower bounds on the radius of spatial analyticity for the KdV equation

Jianhua Huang, Ming Wang

Comments: 34pages,0figures

Subjects: Analysis of PDEs (math.AP)

[43] arXiv:1804.01659 [pdf, other]

Title: Multiscale Galerkin approximation scheme for a system of quasilinear parabolic equations

Ekeoma R. Ijioma, Stephen E. Moore

Comments: 34 pages, 25 figures

Subjects: Analysis of PDEs (math.AP)

[44] arXiv:1804.01687 [pdf, other]

Title: Infinitely many non-radial solutions to a critical equation on annulus

Yuxia Guo, Benniao Li, Angela Pistoia, Shusen Yan

Subjects: Analysis of PDEs (math.AP)

[45] arXiv:1804.01689 [pdf, other]

Title: Finite time blow up for wave equations with strong damping in an exterior domain

Ahmad Fino (LaMA--Liban)

Subjects: Analysis of PDEs (math.AP)

[46] arXiv:1804.01716 [pdf, other]

Title: Boundary regularity for nonlocal operators with kernels of variable orders

Minhyun Kim, Panki Kim, Jaehun Lee, Ki-Ahm Lee

Subjects: Analysis of PDEs (math.AP)

[47] arXiv:1804.01727 [pdf, other]

Title: Multiple front standing waves in the FitzHugh-Nagumo equations

Chao-Nien Chen (NTHU), Eric Séré (CEREMADE)

Comments: Final version to appear in Journal of Differential Equations

Journal-ref: Journal of Differential Equations 302 (2021), pp. 895-925

Subjects: Analysis of PDEs (math.AP); Dynamical Systems (math.DS); Pattern Formation and Solitons (nlin.PS)

[48] arXiv:1804.01746 [pdf, other]

Title: Large-time behavior and far field asymptotics of solutions to the Navier-Stokes equations

Masakazu Yamamoto

Subjects: Analysis of PDEs (math.AP)

[49] arXiv:1804.01767 [pdf, other]

Title: Some applications of parabolic Dirac operators to the instationary Navier-Stokes problem on conformally flat cylinders and tori in $\mathbb{R}^3$

Paula Cerejeiras, Uwe Kähler, Rolf Sören Kraußhar

Subjects: Analysis of PDEs (math.AP)

[50] arXiv:1804.01782 [pdf, other]

Title: Multiply-periodic hypersurfaces with constant nonlocal mean curvature

Ignace Aristide Minlend, Alassane Niang, El Hadji Abdoulaye Thiam

Subjects: Analysis of PDEs (math.AP)