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Recently, I. Mosyagin, A.V. Lugovskoy, O.M. Krasilnikov, Yu.Kh. Vekilov, S.I. Simak and I.A. Abrikosov in the paper: "Ab initio calculations of pressure-dependence of high-order elastic constants using finite deformations approach"[Computer…

Soft Condensed Matter · Physics 2018-11-26 Marcin Maździarz

In this comment, I point out to several mathematical mistakes in the above-referenced letter.

Optics · Physics 2007-05-23 Vadim A. Markel

In this paper we analyze a posteriori error estimates for a mixed formulation of the linear elasticity eigenvalue problem. A posteriori estimators for the nearly and perfectly compressible elasticity spectral problems are proposed. With a…

Numerical Analysis · Mathematics 2022-01-12 Felipe Lepe , Gonzalo Rivera , Jesús Vellojín

We make remarks on Fern\'{a}ndez Guasti's paper [{\it J. Phys. A: Math. Gen.} 39 (2006) 11825-11832] by pointing out some mistakes Fern\'{a}ndez Guasti derived therein.

General Physics · Physics 2007-05-23 Kwang-Hua W. Chu

This Comment demonstrates that a comparison analysis by Seah and Gilmore between experimental data on the X-ray photoelectron spectroscopy intensities and theoretical data by Trzhaskovskaya et al. is misleading due to a number of serious…

Strongly Correlated Electrons · Physics 2007-05-23 M. B. Trzhaskovskaya , V. K. Nikulin

Kamenev and Mezard, and Yurkevich and Lerner, have recently shown how to reproduce the large-frequency asymptotics of the energy level correlations for disordered electron systems, by doing perturbation theory around the saddles of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Martin R. Zirnbauer

This paper has been withdrawn due a crucial mistake due to a crucial mistake in the proof of Lemma 2.3.

Spectral Theory · Mathematics 2007-05-23 Raphael Ponge

It has been pointed out to the author by David Glickenstein that the proof of the (closely related) Lemmas 1.2 and 3.2 in the title paper is incorrect. The statements of both Lemmas are correct, and the purpose of this note is to give a…

Metric Geometry · Mathematics 2007-05-23 Igor Rivin

The notice provides some critical remarks on a paper (preprint) by V.A.Sharafutdinov. The remarks mainly concern Theorem 1.1 on determination of the Riemann surface from its Dirichlet-to-Neuman map, which is declared as one of the basic…

Differential Geometry · Mathematics 2025-02-06 M. I. Belishev

We compare the results of our two papers with the results of the paper Aratyn H., Gomes J.F., Zimerman A.H., Higher order Painlev\'e equations and their symmetries via reductions of a class of integrable models, J. Phys. A: Math. Theor., V.…

Exactly Solvable and Integrable Systems · Physics 2014-09-18 Andrei K Svinin

We show that results obtained in paper Foundations of Physics 33, No. 7, 1107 (2003), are not correct.

General Physics · Physics 2007-05-23 Shervgi S. Shahverdiyev

A recent paper of Trandafir and Cabello [Phys. Rev. A, 111, 022408 (2025)] contains a number of errors, inconsistencies, and inefficiencies. They are too numerous to be listed here, so we identify and discuss them in the main body of the…

Quantum Physics · Physics 2025-09-12 Mladen Pavicic

This note is a corrigendum to the previous version arXiv:0711.2735v3 published in J. Lie Theory. As it has been recently pointed out to me by Alexander Premet, Remark 3 of arXiv:0711.2735v3 is incorrect. We verify in this note thanks to…

Representation Theory · Mathematics 2013-03-07 Anne Moreau

We respond to the comment arXiv:1809.03931 put forward by Li-Han Chen, Zhen Liu, and Jian-Tin Zheng on our work Kiesel, Platt, and Thomale, Phys. Rev. Lett. 110, 126405 (2013). All misunderstandings and misconceptions communicated in the…

Strongly Correlated Electrons · Physics 2018-09-14 Ronny Thomale

This comment is devoted to the paper "Exact solutions of nonlinear diffusion-convection-reaction equation: A Lie symmetry approach" (CNSNS, vol. 67 (2019), 253-263) in which several results are not new because were derived much earlier.…

Analysis of PDEs · Mathematics 2021-06-29 Roman Cherniha

Unfortunately the proof of the main result of [1], Theorem 1, has a flaw. Namely, Lemma 13 used in the proof of Proposition 11 is correct only under an additional assumption that the operator $A$ is normal (adjoint for the one-sided shift…

Spectral Theory · Mathematics 2020-12-29 Artem Dudko , Rostislav Grigorchuk

By application of the theory for second-order linear differential equations with two turning points developed in [Olver F.W.J., Philos. Trans. Roy. Soc. London Ser. A 278 (1975), 137-174], uniform asymptotic approximations are obtained in…

Classical Analysis and ODEs · Mathematics 2015-11-25 Karen Ogilvie , Adri B. Olde Daalhuis

In this paper we establish local well-posedness of the KP-I problem, with initial data small in the intersection of the natural energy space with the space of functions which are square integrable when multiplied by the weight y. The result…

Analysis of PDEs · Mathematics 2007-06-28 J. Colliander , A. D. Ionescu , C. E. Kenig , G. Staffilani

This note provides a brief guide to the current state of the literature on Tarski's problems with emphasis on features that distinguish the approach based on combinatorial and algorithmic group theory from the topological approach to…

Group Theory · Mathematics 2014-06-03 Olga Kharlampovich , Alexei Myasnikov

The proofs of Theorem 3.1 and Corollary 4.1 in Le\~ao and Ohashi (2013) are incomplete. The reason is a wrong statement in Remark 2.2. The hypotheses and statements of Theorem 3.1 and Corollary 4.1 in Le\~ao and Ohashi (2013) remain…

Probability · Mathematics 2015-08-31 Dorival Leão , Alberto Ohashi