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Electronic Research Archive (ERA), formerly known as Electronic Research Announcements in Mathematical Sciences, rapidly publishes original and expository full-length articles of significant advances in all branches of mathematics. All articles should be designed to communicate their contents to a broad mathematical audience and must meet high standards for mathematical content and clarity. After review and acceptance, articles enter production for immediate publication.


ERA is the continuation of Electronic Research Announcements of the AMS published by the American Mathematical Society, 1995—2007, details at AMS.


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  • Publishes 4 issues a year in March, June, September and December.
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Riemann-Liouville derivative over the space of integrable distributions
María Guadalupe Morales, Zuzana Došlá and Francisco J. Mendoza
2020, 28(2) : 567-587 doi: 10.3934/era.2020030 +[Abstract](160) +[HTML](62) +[PDF](371.26KB)
Proof of some conjectures involving quadratic residues
Fedor Petrov and Zhi-Wei Sun
2020, 28(2) : 589-597 doi: 10.3934/era.2020031 +[Abstract](126) +[HTML](66) +[PDF](329.14KB)
Initial-boundary value problem for a fourth-order plate equation with Hardy-Hénon potential and polynomial nonlinearity
Xu Liu and Jun Zhou
2020, 28(2) : 599-625 doi: 10.3934/era.2020032 +[Abstract](109) +[HTML](60) +[PDF](417.81KB)
Revisited bilinear Schrödinger estimates with applications to generalized Boussinesq equations
Dan-Andrei Geba and Evan Witz
2020, 28(2) : 627-649 doi: 10.3934/era.2020033 +[Abstract](105) +[HTML](56) +[PDF](425.86KB)
Kirchhoff-type differential inclusion problems involving the fractional Laplacian and strong damping
Mingqi Xiang, Binlin Zhang and Die Hu
2020, 28(2) : 651-669 doi: 10.3934/era.2020034 +[Abstract](126) +[HTML](62) +[PDF](429.17KB)
Global behavior of the solutions to nonlinear Klein-Gordon equation with critical initial energy
Milena Dimova, Natalia Kolkovska and Nikolai Kutev
2020, 28(2) : 671-689 doi: 10.3934/era.2020035 +[Abstract](130) +[HTML](58) +[PDF](361.94KB)
The well-posedness and regularity of a rotating blades equation
Lin Shen, Shu Wang and Yongxin Wang
2020, 28(2) : 691-719 doi: 10.3934/era.2020036 +[Abstract](122) +[HTML](70) +[PDF](457.43KB)
Approximation by multivariate Baskakov–Kantorovich operators in Orlicz spaces
Ling-Xiong Han, Wen-Hui Li and Feng Qi
2020, 28(2) : 721-738 doi: 10.3934/era.2020037 +[Abstract](112) +[HTML](50) +[PDF](375.01KB)
Certain $*$-homomorphisms acting on unital $C^{*}$-probability spaces and semicircular elements induced by $p$-adic number fields over primes $p$
Ilwoo Cho
2020, 28(2) : 739-776 doi: 10.3934/era.2020038 +[Abstract](52) +[HTML](35) +[PDF](468.15KB)
$ H^2 $ blowup result for a Schrödinger equation with nonlinear source term
Xuan Liu and Ting Zhang
2020, 28(2) : 777-794 doi: 10.3934/era.2020039 +[Abstract](75) +[HTML](55) +[PDF](392.34KB)
On Seshadri constants and point-curve configurations
Marek Janasz and Piotr Pokora
2020, 28(2) : 795-805 doi: 10.3934/era.2020040 +[Abstract](62) +[HTML](35) +[PDF](299.58KB)
A family of potential wells for a wave equation
Yang Liu and Wenke Li
2020, 28(2) : 807-820 doi: 10.3934/era.2020041 +[Abstract](68) +[HTML](31) +[PDF](933.36KB)
A hybridized weak Galerkin finite element scheme for general second-order elliptic problems
Guanrong Li, Yanping Chen and Yunqing Huang
2020, 28(2) : 821-836 doi: 10.3934/era.2020042 +[Abstract](99) +[HTML](36) +[PDF](377.34KB)
Numerical simulation for 3D flow in flow channel of aeroengine turbine fan based on dimension splitting method
Guoliang Ju, Can Chen, Rongliang Chen, Jingzhi Li, Kaitai Li and Shaohui Zhang
2020, 28(2) : 837-851 doi: 10.3934/era.2020043 +[Abstract](95) +[HTML](36) +[PDF](1291.07KB)
Long-time behavior of a class of viscoelastic plate equations
Yang Liu
2020, 28: 311-326 doi: 10.3934/era.2020018 +[Abstract](246) +[HTML](117) +[PDF](371.44KB) Cited By(0)
Blow-up criterion for the 3D viscous polytropic fluids with degenerate viscosities
Yue Cao
2020, 28: 27-46 doi: 10.3934/era.2020003 +[Abstract](404) +[HTML](208) +[PDF](346.98KB) Cited By(0)
Riemann-Liouville derivative over the space of integrable distributions
María Guadalupe Morales, Zuzana Došlá and Francisco J. Mendoza
2020, 28: 567-587 doi: 10.3934/era.2020030 +[Abstract](160) +[HTML](62) +[PDF](371.26KB) Cited By(0)
The existence, general decay and blow-up for a plate equation with nonlinear damping and a logarithmic source term
Gongwei Liu
2020, 28: 263-289 doi: 10.3934/era.2020016 +[Abstract](234) +[HTML](107) +[PDF](383.54KB) Cited By(0)
A note on sign-changing solutions for the Schrödinger Poisson system
Hui Guo and Tao Wang
2020, 28: 195-203 doi: 10.3934/era.2020013 +[Abstract](194) +[HTML](107) +[PDF](332.0KB) Cited By(0)
Initial-boundary value problem for a fourth-order plate equation with Hardy-Hénon potential and polynomial nonlinearity
Xu Liu and Jun Zhou
2020, 28: 599-625 doi: 10.3934/era.2020032 +[Abstract](109) +[HTML](60) +[PDF](417.81KB) Cited By(0)
Global existence and propagation speed for a Degasperis-Procesi equation with both dissipation and dispersion
Guenbo Hwang and Byungsoo Moon
2020, 28: 15-25 doi: 10.3934/era.2020002 +[Abstract](449) +[HTML](237) +[PDF](327.55KB) Cited By(0)
Generalizations of some ordinary and extreme connectedness properties of topological spaces to relator spaces
Muwafaq Salih and Árpád Száz
2020, 28: 471-548 doi: 10.3934/era.2020027 +[Abstract](306) +[HTML](251) +[PDF](771.11KB) Cited By(0)
The digital smash product
Ismet Cinar, Ozgur Ege and Ismet Karaca
2020, 28: 459-469 doi: 10.3934/era.2020026 +[Abstract](205) +[HTML](124) +[PDF](371.39KB) Cited By(0)
Some universal quadratic sums over the integers
Hai-Liang Wu and Zhi-Wei Sun
2019, 27: 69-87 doi: 10.3934/era.2019010 +[Abstract](388) +[HTML](212) +[PDF](394.36KB) Cited By(0)
A conjecture on cluster automorphisms of cluster algebras
Peigen Cao, Fang Li, Siyang Liu and Jie Pan
2019, 27: 1-6 doi: 10.3934/era.2019006 +[Abstract](1024) +[HTML](440) +[PDF](313.13KB) PDF Downloads(282)
Traveling waves for a nonlocal dispersal SIR model equipped delay and generalized incidence
Yang Yang, Yun-Rui Yang and Xin-Jun Jiao
2020, 28: 1-13 doi: 10.3934/era.2020001 +[Abstract](513) +[HTML](236) +[PDF](369.78KB) PDF Downloads(193)
The global conservative solutions for the generalized camassa-holm equation
Li Yang, Chunlai Mu, Shouming Zhou and Xinyu Tu
2019, 27: 37-67 doi: 10.3934/era.2019009 +[Abstract](606) +[HTML](276) +[PDF](562.79KB) PDF Downloads(184)
Finite time blow-up for a wave equation with dynamic boundary condition at critical and high energy levels in control systems
Xiaoqiang Dai, Chao Yang, Shaobin Huang, Tao Yu and Yuanran Zhu
2020, 28: 91-102 doi: 10.3934/era.2020006 +[Abstract](416) +[HTML](216) +[PDF](299.33KB) PDF Downloads(170)
Global existence and propagation speed for a Degasperis-Procesi equation with both dissipation and dispersion
Guenbo Hwang and Byungsoo Moon
2020, 28: 15-25 doi: 10.3934/era.2020002 +[Abstract](449) +[HTML](237) +[PDF](327.55KB) PDF Downloads(158)
On the time decay in phase–lag thermoelasticity with two temperatures
Antonio Magaña, Alain Miranville and Ramón Quintanilla
2019, 27: 7-19 doi: 10.3934/era.2019007 +[Abstract](744) +[HTML](347) +[PDF](365.4KB) PDF Downloads(143)
Initial boundary value problem for a inhomogeneous pseudo-parabolic equation
Jun Zhou
2020, 28: 67-90 doi: 10.3934/era.2020005 +[Abstract](449) +[HTML](228) +[PDF](777.08KB) PDF Downloads(134)
The existence of solutions for a shear thinning compressible non-Newtonian models
Yukun Song, Yang Chen, Jun Yan and Shuai Chen
2020, 28: 47-66 doi: 10.3934/era.2020004 +[Abstract](388) +[HTML](225) +[PDF](413.61KB) PDF Downloads(120)
Well-posed final value problems and Duhamel's formula for coercive Lax–Milgram operators
Jon Johnsen
2019, 27: 20-36 doi: 10.3934/era.2019008 +[Abstract](571) +[HTML](290) +[PDF](448.4KB) PDF Downloads(119)
Blow-up criterion for the 3D viscous polytropic fluids with degenerate viscosities
Yue Cao
2020, 28: 27-46 doi: 10.3934/era.2020003 +[Abstract](404) +[HTML](208) +[PDF](346.98KB) PDF Downloads(117)

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