Analysis of PDEs

Authors and titles for April 2018

[101] arXiv:1804.04291 [pdf, other]

Title: Isolated Singularities for Semilinear Elliptic Systems with Power-Law Nonlinearity

Marius Ghergu, Sunghan Kim, Henrik Shahgholian

Journal-ref: Analysis & PDE 13 (2020) 701-739

Subjects: Analysis of PDEs (math.AP)

[102] arXiv:1804.04315 [pdf, other]

Title: Well-posedness for constrained Hamilton-Jacobi equations

Yeoneung Kim

Subjects: Analysis of PDEs (math.AP)

[103] arXiv:1804.04350 [pdf, other]

Title: Single shock solution for non convex scalar conservation laws

Adimurthi, Shyam Sundar Ghoshal

Subjects: Analysis of PDEs (math.AP)

[104] arXiv:1804.04356 [pdf, other]

Title: Gradient weighted estimates at the natural exponent for Quasilinear Parabolic equations

Karthik Adimurthi, Sun-Sig Byun

Comments: arXiv admin note: text overlap with arXiv:1802.09176

Subjects: Analysis of PDEs (math.AP)

[105] arXiv:1804.04363 [pdf, other]

Title: On fundamental solutions for multidimensional Helmholtz equation with three singular coefficients

Tuhtasin Ergashev

Comments: 7 pages

Subjects: Analysis of PDEs (math.AP)

[106] arXiv:1804.04465 [pdf, other]

Title: Explicit $\infty$-harmonic functions in high dimensions

Birzhan Ayanbayev

Comments: 14 pages, 28 figures

Journal-ref: Journal of Elliptic and Parabolic Equations 2018

Subjects: Analysis of PDEs (math.AP)

[107] arXiv:1804.04489 [pdf, other]

Title: Well-posedness of the hydrostatic Navier-Stokes equations

David Gerard-Varet, Nader Masmoudi, Vlad Vicol

Subjects: Analysis of PDEs (math.AP)

[108] arXiv:1804.04545 [pdf, other]

Title: Boundary regularity for minimizing biharmonic maps

Katarzyna Mazowiecka

Comments: 30 pages, 1 figure

Subjects: Analysis of PDEs (math.AP)

[109] arXiv:1804.04597 [pdf, other]

Title: An operator algebra associated with a pair of intersecting manifolds

D. A. Loshchenova, A. Yu. Savin, B. Yu. Sternin

Comments: 9 pages, no figures

Subjects: Analysis of PDEs (math.AP); Operator Algebras (math.OA)

[110] arXiv:1804.04769 [pdf, other]

Title: Stability of supersonic contact discontinuity for two-dimensional steady compressible Euler flows in a finite nozzle

Feimin Huang, Jie Kuang, Dehua Wang, Wei Xiang

Subjects: Analysis of PDEs (math.AP)

[111] arXiv:1804.04885 [pdf, other]

Title: Stability of peakons for the generalized modified Camassa-Holm equation

Zihua Guo, Xiaochuan Liu, Xingxing Liu, Changzheng Qu

Comments: A gap in the proof of Lemma 3.2 is overcome in this new version. Moreover, our new approach is still valid for even power index. Thus we obtain the stability of peakons for the generalized modified Camassa-Holm equation with arbitrary order nonlinearity

Subjects: Analysis of PDEs (math.AP)

[112] arXiv:1804.04895 [pdf, other]

Title: Spectral estimates for finite combinations of Hermite functions and null-controllability of hypoelliptic quadratic equations

Karine Beauchard, Philippe Jaming, Karel Pravda-Starov

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

[113] arXiv:1804.05107 [pdf, other]

Title: On the global behavior of weak null quasilinear wave equations

Yu Deng, Fabio Pusateri

Comments: 48 pages

Subjects: Analysis of PDEs (math.AP)

[114] arXiv:1804.05121 [pdf, other]

Title: Analysis of the attainment of boundary conditions for a nonlocal diffusive Hamilton-Jacobi equation

Alexander Quaas, Andrei Rodríguez

Subjects: Analysis of PDEs (math.AP)

[115] arXiv:1804.05168 [pdf, other]

Title: On diffusive 2D Fokker-Planck-Navier-Stokes systems

Joonhyun La

Subjects: Analysis of PDEs (math.AP)

[116] arXiv:1804.05193 [pdf, other]

Title: Global existence for reaction-diffusion systems with dissipation of mass and quadratic growth

Philippe Souplet

Comments: 8 pages

Journal-ref: J. Evolution Equations 18 (2018), 1713-1720

Subjects: Analysis of PDEs (math.AP)

[117] arXiv:1804.05220 [pdf, other]

Title: A Beals criterion for magnetic pseudodifferential operators proved with magnetic Gabor frames

Horia D. Cornean, Bernard Helffer, Radu Purice

Comments: 8 pages, to appear in Commun. P.D.E

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

[118] arXiv:1804.05333 [pdf, other]

Title: Generalised supersolutions with mass control for the Keller-Segel system with logarithmic sensitivity

Anna Zhigun

Subjects: Analysis of PDEs (math.AP)

[119] arXiv:1804.05403 [pdf, other]

Title: A maximal regularity approach to the study of motion of a rigid body with a fluid-filled cavity

Giusy Mazzone, Jan Pruess, Gieri Simonett

Comments: 23 pages

Subjects: Analysis of PDEs (math.AP)

[120] arXiv:1804.05413 [pdf, other]

Title: Rapidly Rotating Stars

Yilun Wu, Walter Strauss

Comments: 16 pages

Subjects: Analysis of PDEs (math.AP)

[121] arXiv:1804.05466 [pdf, other]

Title: Phase separation of n dimensional infinity Harmonic mappings

Hussien Abugirda

Comments: 9 pages, 4 figures

Subjects: Analysis of PDEs (math.AP)

[122] arXiv:1804.05480 [pdf, other]

Title: Analysis of surface polariton resonance for nanoparticles in elastic system

Youjun Deng, Hongjie Li, Hongyu Liu

Comments: 18 pages, comments are welcome

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

[123] arXiv:1804.05540 [pdf, other]

Title: Small data global existence for a class of quadratic derivative nonlinear Schr\"odinger systems in two space dimensions

Daisuke Sakoda, Hideaki Sunagawa

Comments: 28 pages

Journal-ref: Journal of Differential Equations, vol.268 (2020), p.1722 -- 1749

Subjects: Analysis of PDEs (math.AP)

[124] arXiv:1804.05557 [pdf, other]

Title: A diffuse interface model of a two-phase flow with thermal fluctuations

Eduard Feireisl, Madalina Petcu

Subjects: Analysis of PDEs (math.AP)

[125] arXiv:1804.05559 [pdf, other]

Title: Blow-up phenomena for linearly perturbed Yamabe problem on manifolds with umbilic boundary

Marco Ghimenti, Anna Maria Micheletti, Angela Pistoia

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

[126] arXiv:1804.05590 [pdf, other]

Title: Multiplicity of solutions to an elliptic problem with singularity and measure data

S. Ghosh, A. Panda, D. Choudhuri

Comments: 24 Pages

Journal-ref: Electronic Journal of Differential Equations, Vol. 2019 (2019), No. 60, pp. 1-21

Subjects: Analysis of PDEs (math.AP)

[127] arXiv:1804.05742 [pdf, other]

Title: Finite thermoelastoplasticity and creep under small elastic strains

Tomas Roubicek, Ulisse Stefanelli

Comments: 26 pages

Subjects: Analysis of PDEs (math.AP)

[128] arXiv:1804.05908 [pdf, other]

Title: Persistence probability of a random polynomial arising from evolutionary game theory

Van Hao Can, Manh Hong Duong, Viet Hung Pham

Comments: revised version

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Dynamical Systems (math.DS); Probability (math.PR); Populations and Evolution (q-bio.PE)

[129] arXiv:1804.05991 [pdf, other]

Title: The Hardy--Schr\"odinger Operator on the Poincar\'e Ball: Compactness and Multiplicity

Nassif Ghoussoub, Saikat Mazumdar, Frédéric Robert

Subjects: Analysis of PDEs (math.AP)

[130] arXiv:1804.06038 [pdf, other]

Title: Propagation of boundary-induced discontinuity in stationary radiative transfer and its application to the optical tomography

I-Kun Chen, Daisuke Kawagoe

Comments: 19 pages

Journal-ref: Inverse Probl. Imaging. 13(2) (2019) 337-351

Subjects: Analysis of PDEs (math.AP)

[131] arXiv:1804.06135 [pdf, other]

Title: Decay estimates for large velocities in the Boltzmann equation without cutoff

Cyril Imbert (DMA), Clément Mouhot, Luis Silvestre

Comments: 32 pages

Subjects: Analysis of PDEs (math.AP)

[132] arXiv:1804.06192 [pdf, other]

Title: Convergence to self-similarity for ballistic annihilation dynamics

Ricardo Alonso (PUC-RIO), Véronique Bagland (LMBP), Bertrand Lods, V Eronique Bagland

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

[133] arXiv:1804.06209 [pdf, other]

Title: Exact controllability of a linear Korteweg-de Vries equation by the flatness approach

Ivonne Rivas, Philippe Martin (CAS), Lionel Rosier (CAS, CAOR), Pierre Rouchon (CAS)

Subjects: Analysis of PDEs (math.AP)

[134] arXiv:1804.06225 [pdf, other]

Title: A liouville property with application to asymptotic stability for the camassa-holm equation

Luc Molinet (IDP)

Comments: To appear in ARMA

Subjects: Analysis of PDEs (math.AP)

[135] arXiv:1804.06230 [pdf, other]

Title: Asymptotic stability for some non positive perturbations of the Camassa-Holm peakon with application to the antipeakon-peakon profile

Luc Molinet (IDP)

Comments: In this second version, we improve the result in the appendix by proving that for a solution with a non negative momentum density the energy at the left of any given point decays to zero as time goes to + $\infty$. This leads to an improvement of the asymptotic stability result for such solutions. arXiv admin note: text overlap with arXiv:1804.06225

Subjects: Analysis of PDEs (math.AP)

[136] arXiv:1804.06297 [pdf, other]

Title: Enhanced existence time of solutions to the fractional Korteweg-de Vries equation

Mats Ehrnström, Yuexun Wang

Journal-ref: SIAM J. Math. Anal.(2019)

Subjects: Analysis of PDEs (math.AP)

[137] arXiv:1804.06301 [pdf, other]

Title: Correct Statement, Analysis and Numerical Solution of Singular Nonlinear Problems for Self-Similar Solutions to the Boundary Layer Equations with Zero Pressure Gradient

Nadezhda Konyukhova, Sergey Kurochkin, Mikhail Soloviev

Comments: 54 pages, 44 figures

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

[138] arXiv:1804.06302 [pdf, other]

Title: Schr\"odinger dynamics and optimal transport of measures on the torus

L. Zanelli

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

[139] arXiv:1804.06303 [pdf, other]

Title: Symmetry operators and generation of symmetry transformations of partial differential equations

C. J. Papachristou

Comments: Enhanced and updated version; 23 pages; see also arXiv:0803.3688

Journal-ref: Nausivios Chora Vol. 7 (2018) pp. C31-C48 ; https://nausivios.hna.gr/docs/2018C3.pdf

Subjects: Analysis of PDEs (math.AP)

[140] arXiv:1804.06351 [pdf, other]

Title: Extremal functions for an embedding from some anisotropic space, and partial differential equation involving the "one Laplacian"

Françoise Demengel, Thomas Dumas

Comments: 28 pages, no figure

Subjects: Analysis of PDEs (math.AP)

[141] arXiv:1804.06380 [pdf, other]

Title: Reverse Agmon estimates and nodal intersection bounds in forbidden regions

John A. Toth, Xianchao Wu

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

[142] arXiv:1804.06444 [pdf, other]

Title: The Fundamental Solution to the p-Laplacian in a class of H\"ormander Vector Fields

Thomas Bieske, Robert D. Freeman

Comments: 9 pages

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG); Metric Geometry (math.MG); Optimization and Control (math.OC)

[143] arXiv:1804.06476 [pdf, other]

Title: A nonlinear problem witha weight and a nonvanishing boundary datum

Rejeb Hadiji

Subjects: Analysis of PDEs (math.AP)

[144] arXiv:1804.06555 [pdf, other]

Title: Homogenization of Nonlocal Partial Differential Equations Related to Stochastic Differential Equations with L\'evy Noise

Qiao Huang, Jinqiao Duan, Renming Song

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

[145] arXiv:1804.06560 [pdf, other]

Title: Propagation of regularity and long time behavior of $3D$ massive relativistic transport equation I: Vlasov-Nordstr\"om system

Xuecheng Wang

Comments: Reorganized to improve presentation

Subjects: Analysis of PDEs (math.AP)

[146] arXiv:1804.06566 [pdf, other]

Title: Propagation of regularity and long time behavior of the $3D$ massive relativistic transport equation II: Vlasov-Maxwell system

Xuecheng Wang

Comments: Reorganized to improve presentation

Subjects: Analysis of PDEs (math.AP)

[147] arXiv:1804.06619 [pdf, other]

Title: A global well-posedness result for the Rosensweig system of ferrofluids

Francesco De Anna, Stefano Scrobogna

Subjects: Analysis of PDEs (math.AP)

[148] arXiv:1804.06639 [pdf, other]

Title: Motion of level sets by inverse anisotropic mean curvature

Francesco Della Pietra, Nunzia Gavitone, Chao Xia

Subjects: Analysis of PDEs (math.AP)

[149] arXiv:1804.06697 [pdf, other]

Title: Compactness methods for $\Gamma^{1,\alpha}$ boundary Schauder estimates in Carnot groups

Agnid Banerjee, Nicola Garofalo, Isidro Munive

Comments: revision of the previous version with a few updated references

Subjects: Analysis of PDEs (math.AP)

[150] arXiv:1804.06706 [pdf, other]

Title: Optimal Sobolev regularity for the Stokes equations on a 2D wedge domain

Matthias Köhne, Jürgen Saal, Laura Westermann

Comments: 29 pages

Journal-ref: Math. Ann. 379, 377-413, 2021

Subjects: Analysis of PDEs (math.AP)