Analysis of PDEs

Authors and titles for math.AP in May 2011

[1]  arXiv:1105.0018 [pdf, ps, other]

Title: Restriction of toral eigenfunctions to hypersurfaces and nodal sets

Authors: Jean Bourgain, Zeev Rudnick

Comments: 4 figures. v2: Minor revision. Accepted for publication in GAFA

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

[2]  arXiv:1105.0076 [src]

Title: A sharp asymptotic remainder estimate for biharmonic Steklov eigenvalues on Riemannian manifolds

Authors: Genqian Liu

Comments: This paper has been withdrawn by the author

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

[3]  arXiv:1105.0111 [pdf, other]

Title: Convergence of the Abelian sandpile

Authors: Wesley Pegden, Charles K. Smart

Comments: 12 pages, 2 figures, acroread recommended for figure display

Journal-ref: Duke Math. J. 162, no. 4 (2013), 627-642

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

[4]  arXiv:1105.0118 [pdf, ps, other]

Title: Multiple Quenching Solutions of a Fourth Order Parabolic PDE with a singular nonlinearity modelling a MEMS Capacitor

Authors: Alan Lindsay, Joceline Lega

Journal-ref: SIAM J. Appl. Math., (2012), 72(3), 935-958

Subjects: Analysis of PDEs (math.AP)

[5]  arXiv:1105.0212 [pdf, ps, other]

Title: Harmonic balls and two-phase Schwarz function

Authors: Henrik Shahgholian, Tomas Sjödin

Subjects: Analysis of PDEs (math.AP)

[6]  arXiv:1105.0228 [pdf, ps, other]

Title: Elliptic equations with singular BMO coefficients in Reifenberg domains

Authors: Ko Woon Um

Comments: 25 pages

Subjects: Analysis of PDEs (math.AP)

[7]  arXiv:1105.0230 [pdf, other]

Title: Pairwise wave interactions in ideal polytropic gases

Authors: Geng Chen, Erik E. Endres, Helge Kristian Jenssen

Comments: 39 pages

Subjects: Analysis of PDEs (math.AP)

[8]  arXiv:1105.0231 [pdf, ps, other]

Title: Formation of singularity and smooth wave propagation for the non-isentropic compressible Euler equations

Authors: Geng Chen

Comments: to appear in J. Hyperbolic Diff. Eqs

Subjects: Analysis of PDEs (math.AP)

[9]  arXiv:1105.0335 [pdf, ps, other]

Title: Sharp Hardy inequalities in the half space with trace remainder term

Authors: Angelo Alvino, Adele Ferone, Roberta Volpicelli

Subjects: Analysis of PDEs (math.AP)

[10]  arXiv:1105.0349 [pdf, ps, other]

Title: Two-scale convergence for locally-periodic microstructures and homogenization of plywood structures

Authors: Mariya Ptashnyk

Comments: 22 pages, 4 figures

Subjects: Analysis of PDEs (math.AP)

[11]  arXiv:1105.0384 [pdf, ps, other]

Title: Boundary regularity of stationary biharmonic maps

Authors: Huajun Gong, Tobias Lamm, Changyou Wang

Comments: 23 pages

Subjects: Analysis of PDEs (math.AP)

[12]  arXiv:1105.0414 [pdf, ps, other]

Title: Asymptotics of small exterior Navier-Stokes flows with non-decaying boundary data

Authors: Kyungkuen Kang, Hideyuki Miura, Tai-Peng Tsai

Subjects: Analysis of PDEs (math.AP)

[13]  arXiv:1105.0529 [pdf, ps, other]

Title: Well-posedness of 1-D compressible Euler-Poisson equations with physical vacuum

Authors: Xumin Gu, Zhen Lei

Comments: 28 pages

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

[14]  arXiv:1105.0623 [pdf, ps, other]

Title: Lie symmetries of radiation natural convection flow past an inclined surface

Authors: Mehdi Nadjafikhah, Maryam Abdolsamadi, Elahe Oftadeh

Comments: 6 pages

Subjects: Analysis of PDEs (math.AP)

[15]  arXiv:1105.0625 [pdf, ps, other]

Title: Lie symmetry analysis of nonlinear evolution equation for description nonlinear waves in a viscoelastic tube

Authors: Mehdi Nadjafikhah, Vahid Shirvani-Sh

Comments: 9 pages

Subjects: Analysis of PDEs (math.AP)

[16]  arXiv:1105.0629 [pdf, ps, other]

Title: Classical and Nonclassical symmetries of the (2+1)-dimensional Kuramoto-Sivashinsky equation

Authors: Mehdi Nadjafikhah, Fatemeh Ahangari

Comments: 12 pages

Journal-ref: Communications in Theoretical Physics, vol 56, 2011, pages 211-217

Subjects: Analysis of PDEs (math.AP)

[17]  arXiv:1105.0694 [pdf, ps, other]

Title: Mathematical results for some $\displaystyleα$ models of turbulence with critical and subcritical regularizations

Authors: Hani Ali

Subjects: Analysis of PDEs (math.AP)

[18]  arXiv:1105.0717 [pdf, ps, other]

Title: Optimal regularity for the no-sign obstacle problem

Authors: John Andersson, Erik Lindgren, Henrik Shahgholian

Subjects: Analysis of PDEs (math.AP)

[19]  arXiv:1105.0729 [pdf, ps, other]

Title: Low Mach number limit for the multi-dimensional Full magnetohydrodynamic equations

Authors: Song Jiang, Qiangchang Ju, Fucai Li

Comments: 19 pages. We revised our paper by following the referee's comments

Journal-ref: Nonlinearity 25 (2012),no.5, 1351-1365

Subjects: Analysis of PDEs (math.AP)

[20]  arXiv:1105.0786 [pdf, ps, other]

Title: Multidimensional Chebyshev spaces, hierarchy of infinite-dimensional spaces and Kolmogorov-Gelfand widths

Authors: O. Kounchev

Comments: 40 pages, essentially the same contribution as arXiv:1104.0791 but with extended and improved introduction and a section about Multidimensional Chebyshev systems

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

[21]  arXiv:1105.0842 [pdf, ps, other]

Title: Sharp two-sided heat kernel estimates of twisted tubes and applications

Authors: Gabriele Grillo, Hynek Kovařík, Yehuda Pinchover

Comments: To appear in Arch. Rat. Mech. Anal

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

[22]  arXiv:1105.0872 [pdf, ps, other]

Title: Asymptotics behaviour in one dimensional model of interacting particles

Authors: Rafał Celiński

Subjects: Analysis of PDEs (math.AP)

[23]  arXiv:1105.0873 [pdf, ps, other]

Title: Effective limiting absorption principles, and applications

Authors: Igor Rodnianski, Terence Tao

Comments: 91 pages, no figures, submitted, CMP. Some references fixed, other minor corrections

Subjects: Analysis of PDEs (math.AP)

[24]  arXiv:1105.0898 [pdf, ps, other]

Title: Thermoacoustic Tomography in Elastic Media

Authors: Justin Tittelfitz

Comments: Submitted to Inverse Problems

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

[25]  arXiv:1105.0983 [src]

Title: Bochner-Weitzenboeck formula and Li-Yau estimates on Finsler manifolds

Authors: Shin-ichi Ohta, Karl-Theodor Sturm

Comments: Administratively withdrawn: duplicate of 1105.0983

Subjects: Analysis of PDEs (math.AP)