Analysis of PDEs

Authors and titles for April 2018

[251] arXiv:1804.10523 [pdf, other]

Title: On the principle of linearized stability in interpolation spaces for quasilinear evolution equations

Bogdan-Vasile Matioc, Christoph Walker

Comments: 14 pages

Subjects: Analysis of PDEs (math.AP)

[252] arXiv:1804.10569 [pdf, other]

Title: Eigenvalue variation under moving mixed Dirichlet-Neumann boundary conditions and applications

Laura Abatangelo, Veronica Felli, Corentin Léna

Comments: 40 pages

Subjects: Analysis of PDEs (math.AP)

[253] arXiv:1804.10581 [pdf, other]

Title: Lack of null-controllability for the fractional heat equation and related equations

Armand Koenig

Journal-ref: SIAM Journal on Control and Optimization 58.6, 2020

Subjects: Analysis of PDEs (math.AP)

[254] arXiv:1804.10583 [pdf, other]

Title: An analytical closed-form solution for free vibration of stepped circular/annular Mindlin functionally graded plate

Masoud Derakhshani, Shahrokh Hosseini-Hashemi, Mohammad Fadaee

Comments: 11 pages, 3 figures, This paper was presented and published in the 1st International Conference on Acoustic and Vibrations (ISAV 2011)

Subjects: Analysis of PDEs (math.AP)

[255] arXiv:1804.10588 [pdf, other]

Title: Green functions of conormal derivative problems for stationary Stokes system

Jongkeun Choi, Hongjie Dong, Doyoon Kim

Comments: minor revision; accepted in Journal of Mathematical Fluid Mechanics

Subjects: Analysis of PDEs (math.AP)

[256] arXiv:1804.10631 [pdf, other]

Title: Unconditional Uniqueness Results for the Nonlinear Schr\"odinger Equation

Sebastian Herr, Vedran Sohinger

Comments: version 2: minor corrections

Journal-ref: Commun. Contemp. Math. (2019), Vol. 21, No. 7, 1850058, 33 pp

Subjects: Analysis of PDEs (math.AP)

[257] arXiv:1804.10638 [pdf, other]

Title: Well-posedness and Global Attractors for Viscous Fractional Cahn-Hilliard Equations with Memory

Eylem Öztürk, Joseph L. Shomberg

Comments: 24pp

Subjects: Analysis of PDEs (math.AP)

[258] arXiv:1804.10699 [pdf, other]

Title: Three solutions for a nonlocal problem with critical growth

Natalí Ailín Cantizano, Analía Silva

Comments: 10 pages. arXiv admin note: text overlap with arXiv:0808.3143, arXiv:0912.3465

Subjects: Analysis of PDEs (math.AP)

[259] arXiv:1804.10739 [pdf, other]

Title: First-order expansions for eigenvalues and eigenfunctions in periodic homogenization

Jinping Zhuge

Comments: 27 pages; comments are welcome

Subjects: Analysis of PDEs (math.AP)

[260] arXiv:1804.10841 [pdf, other]

Title: Global asymptotics toward rarefaction waves for solutions of the scalar conservation law with nonlinear viscosity

Akitaka Matsumura, Natsumi Yoshida

Subjects: Analysis of PDEs (math.AP)

[261] arXiv:1804.10868 [pdf, other]

Title: On properties of the solutions to the $\alpha$-harmonic equation

Peijin Li, Antti Rasila, Zhi-Gang Wang

Comments: 16 pages

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

[262] arXiv:1804.10912 [pdf, other]

Title: Wave-Field Shaping in Cavities by Tunable Metasurfaces

Habib Ammari, Kthim Imeri, Wei Wu

Subjects: Analysis of PDEs (math.AP)

[263] arXiv:1804.10927 [pdf, other]

Title: On some large global solutions for the compressible magnetohydrodynamic system

Jinlu Li, Yanghai Yu, Weipeng Zhu

Comments: 14

Subjects: Analysis of PDEs (math.AP)

[264] arXiv:1804.11053 [pdf, other]

Title: Local weak solvability of a moving boundary problem describing swelling along a halfline

Kota Kumazaki, Adrian Muntean

Subjects: Analysis of PDEs (math.AP)

[265] arXiv:1804.11073 [pdf, other]

Title: Wave-like blow-up for semilinear wave equations with scattering damping and negative mass term

Ning-An Lai, Nico Michele Schiavone, Hiroyuki Takamura

Comments: 20 pages. The last equation in Introduction of the first version has a typo. Its was trivial but revised. "mass" in the title of the second version is replaced with "mass term"

Journal-ref: New tools for nonlinear PDEs and application, 217-240, Trends Math., Birkh\"auser/Springer, Cham, 2019

Subjects: Analysis of PDEs (math.AP)

[266] arXiv:1804.11080 [pdf, other]

Title: Embedding Camassa-Holm equations in incompressible Euler

François-Xavier Vialard (MOKAPLAN), Andrea Natale (Inria, MOKAPLAN)

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

[267] arXiv:1804.11099 [pdf, other]

Title: Functional calculus of operators with heat kernel bounds on non-doubling manifolds with ends

The Anh Bui, Xuan Thinh Duong, Ji Li, Brett D. Wick

Comments: to appear in Indiana University Mathematics Journal

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

[268] arXiv:1804.11107 [pdf, other]

Title: An existence result for dissipative nonhomogeneous hyperbolic equations via a minimization approach

Lorenzo Tentarelli, Paolo Tilli

Comments: 21 pages; keywords: minimization, nonhomogeneous hyperbolic equations, dissipation, De Giorgi conjecture

Journal-ref: J. Differential Equations 266 (2019), no. 8, 5185-5208

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

[269] arXiv:1804.11123 [pdf, other]

Title: Regularity for the Dirichlet problem on BD

Franz Gmeineder

Comments: 54 pages, 3 figures

Subjects: Analysis of PDEs (math.AP)

[270] arXiv:1804.11140 [pdf, other]

Title: Sharp regularity estimates for quasilinear evolution equations

Marcelo D. Amaral, João Vítor da Silva, Gleydson C. Ricarte, Rafayel Teymurazyan

Comments: 18 pages

Subjects: Analysis of PDEs (math.AP)

[271] arXiv:1804.11148 [pdf, other]

Title: Periodic solutions for a class of evolution inclusions

Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš

Journal-ref: Comput. Math. Appl. 75:8 (2018), 3047-3065

Subjects: Analysis of PDEs (math.AP)

[272] arXiv:1804.11155 [pdf, other]

Title: Unique Determination of Sound Speeds for Coupled Systems of Semi-linear Wave Equations

Alden Waters

Comments: minor updates

Subjects: Analysis of PDEs (math.AP)

[273] arXiv:1804.11290 [pdf, other]

Title: Well-posedness and regularity for a generalized fractional Cahn-Hilliard system

Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels

Comments: 36 pages. Key words: fractional operators, Cahn-Hilliard systems, well-posedness, regularity of solutions

Subjects: Analysis of PDEs (math.AP)

[274] arXiv:1804.11299 [pdf, other]

Title: On geometric and analytic mixing scales: comparability and convergence rates for transport problems

Christian Zillinger

Comments: 27 pages, 2 figures

Journal-ref: Pure Appl. Analysis 1 (2019) 543-570

Subjects: Analysis of PDEs (math.AP)

[275] arXiv:1804.11305 [pdf, other]

Title: A weak comparison principle in tubular neighbourhoods of embedded manifolds

Francesco Polizzi, Pietro Sabatino, Berardino Sciunzi

Comments: 18 pages, 1 figure. Final version, to appear in Revista Matemática Iberoamericana. Version 2: minor corrections

Journal-ref: Revista Matem\'atica Iberoamericana 36, issue 2 (2020), 319-340

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

[276] arXiv:1804.00977 (cross-list from math.DS) [pdf, other]

Title: On the existence of non-trivial steady-state size-distributions for a class of flocculation equations

Inom Mirzaev, David M. Bortz

Comments: arXiv admin note: substantial text overlap with arXiv:1507.07127

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

[277] arXiv:1804.01335 (cross-list from math.PR) [pdf, other]

Title: Generalized Burgers equation with rough transport noise

Antoine Hocquet, Torstein Nilssen, Wilhelm Stannat

Journal-ref: Stochastic Processes and their Applications (2019), available online

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

[278] arXiv:1804.01717 (cross-list from math.OC) [pdf, other]

Title: Application of Symmetry Groups to the Observability Analysis of Partial Differential Equations

Bernd Kolar, Hubert Rams, Markus Schöberl

Comments: submitted to MTNS 2018

Journal-ref: Proceedings of the 23rd International Symposium on Mathematical Theory of Networks and Systems (MTNS), pp. 247-254, 2018

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

[279] arXiv:1804.01941 (cross-list from gr-qc) [pdf, other]

Title: Generic blow-up results for the wave equation in the interior of a Schwarzschild black hole

Grigorios Fournodavlos, Jan Sbierski

Comments: Minor improvements, version accepted for publication

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

[280] arXiv:1804.02151 (cross-list from math.OC) [pdf, other]

Title: Controllability under positivity constraints of multi-d wave equations

Dario Pighin, Enrique Zuazua

Subjects: Optimization and Control (math.OC); Analysis of PDEs (math.AP)

[281] arXiv:1804.02285 (cross-list from math-ph) [pdf, other]

Title: Nonlinear stability of higher order mKdV breathers

Miguel A. Alejo, Eleomar Cardoso

Comments: 14 pages. This is v3

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

[282] arXiv:1804.03367 (cross-list from math-ph) [pdf, other]

Title: Spectral theory of pseudo-differential operators of degree 0 and application to forced linear waves

Yves Colin de Verdìère (IF)

Journal-ref: Analysis & PDE 13 (2020) 1521-1537

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

[283] arXiv:1804.03434 (cross-list from math-ph) [pdf, other]

Title: Fundamental solutions for the wave operator on static Lorentzian manifolds with timelike boundary

Claudio Dappiaggi, Nicolò Drago, Hugo Ferreira

Comments: 25 pages, typos corrected, to appear in Lett. Math. Phys

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Analysis of PDEs (math.AP)

[284] arXiv:1804.03563 (cross-list from math.PR) [pdf, other]

Title: An unbiased Ito type stochastic representation for transport PDEs: A Toy Example

Goncalo dos Reis, Greig Smith

Comments: 31 pages, 2 figures; To appear in "Frontiers in Stochastic Analysis - BSDEs, SPDEs and their Applications"

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

[285] arXiv:1804.03845 (cross-list from math.PR) [pdf, other]

Title: About classical solutions of the path-dependent heat equation

Cristina Di Girolami (LMM, Ud'A), Francesco Russo (UMA)

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

[286] arXiv:1804.03934 (cross-list from math.DG) [pdf, other]

Title: A vector bundle version of the Monge-Ampere equation

Vamsi Pritham Pingali

Comments: Corrected the statement of Lemma 2.4 and the proof of Lemma 4.9

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

[287] arXiv:1804.04172 (cross-list from math-ph) [pdf, other]

Title: A variational principle for three-dimensional water waves over Beltrami flows

Evgeniy Lokharu, Erik Wahlén

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

[288] arXiv:1804.04243 (cross-list from math.DG) [pdf, other]

Title: The Weyl Law for the phase transition spectrum and density of limit interfaces

Pedro Gaspar, Marco A. M. Guaraco

Comments: 26 pages, comments welcome. v2: expanded and detailed proof of the last result, references updated

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

[289] arXiv:1804.04297 (cross-list from gr-qc) [pdf, other]

Title: Decay of weakly charged solutions for the spherically symmetric Maxwell-Charged-Scalar-Field equations on a Reissner-Nordstr\"{o}m exterior space-time

Maxime Van de Moortel

Comments: Version accepted for publication in Annales Scientifiques de l'Ecole Normale Superieure

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

[290] arXiv:1804.04510 (cross-list from math.FA) [pdf, other]

Title: Riesz transforms on solvable extensions of stratified groups

Alessio Martini, Maria Vallarino

Comments: 20 pages. This work sharpens and extends heat kernel estimates initially proved in arXiv:1504.03862

Journal-ref: Studia Mathematica, 259 n. 2 (2021), p. 175-200

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

[291] arXiv:1804.04699 (cross-list from math.PR) [pdf, other]

Title: Stein kernels and moment maps

Max Fathi

Comments: v2: improved dependence on the dimension in the quantitative CLT. v3: corrected a wrong sentence, which does not affect the results or the proofs

Journal-ref: Ann. Probab. 47 (2019), no. 4, 2172-2185

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

[292] arXiv:1804.04934 (cross-list from math-ph) [pdf, other]

Title: Stable cosmological Kaluza-Klein Spacetimes

Volker Branding, David Fajman, Klaus Kroencke

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

[293] arXiv:1804.04985 (cross-list from math.NA) [pdf, other]

Title: Robust numerical methods for nonlocal (and local) equations of porous medium type. Part II: Schemes and experiments

Félix del Teso, Jørgen Endal, Espen R. Jakobsen

Comments: 36 pages, 11 figures, 6 tables. To appear in SIAM Journal on Numerical Analysis. Minor typos corrected. This version additionally includes new and interesting simulations on two dimensional problems combining local and nonlocal diffusion and also discussions on the error made by the truncation of the domain

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

[294] arXiv:1804.05438 (cross-list from gr-qc) [pdf, other]

Title: A scattering theory for linear waves on the interior of Reissner-Nordstr\"om black holes

Christoph Kehle, Yakov Shlapentokh-Rothman

Comments: 53 pages, minor corrections and added references

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

[295] arXiv:1804.05488 (cross-list from math-ph) [pdf, other]

Title: Long-range Scattering Matrix for Schr\"odinger-type Operators

Shu Nakamura

Journal-ref: Analysis & PDE 15 (2022) 1725-1762

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

[296] arXiv:1804.05489 (cross-list from math-ph) [pdf, other]

Title: Remarks on scattering matrices for Schr\"odinger operators with critically long-range perturbations

Shu Nakamura

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

[297] arXiv:1804.05558 (cross-list from math.CA) [pdf, other]

Title: Dual Spaces of Anisotropic Mixed-Norm Hardy Spaces

Long Huang, Jun Liu, Dachun Yang, Wen Yuan

Comments: 15 pages; Submitted

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

[298] arXiv:1804.05682 (cross-list from math.OC) [pdf, other]

Title: Output feedback stabilization of the linearized Korteweg-de Vries equation with right endpoint controllers

Ahmet Batal, Türker Özsarı

Comments: 11 pages, 2 figures

Subjects: Optimization and Control (math.OC); Analysis of PDEs (math.AP)

[299] arXiv:1804.05986 (cross-list from gr-qc) [pdf, other]

Title: Coupled gravitational and electromagnetic perturbations of Reissner-Nordstr\"om spacetime in a polarized setting II - Combined estimates for the system of wave equations

Elena Giorgi

Subjects: General Relativity and Quantum Cosmology (gr-qc); Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[300] arXiv:1804.06097 (cross-list from math.NA) [pdf, other]

Title: Space-time approximation of parabolic systems with variable growth

Dominic Breit, Prince Romeo Mensah

Comments: 36 pages

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