American Institute of Mathematical Sciences

Advanced

ISSN:
 1534-0392

eISSN:
 1553-5258

Journal Home

All Issues

Volume 21, 2022

Volume 20, 2021

Volume 19, 2020

Volume 18, 2019

Volume 17, 2018

Volume 16, 2017

Volume 15, 2016

Volume 14, 2015

Volume 13, 2014

Volume 12, 2013

Volume 11, 2012

Volume 10, 2011

Volume 9, 2010

Volume 8, 2009

Volume 7, 2008

Volume 6, 2007

Volume 5, 2006

Volume 4, 2005

Volume 3, 2004

Volume 2, 2003

Volume 1, 2002





CPAA Flyer: showing all essential information of the journal.
Communications on Pure and Applied Analysis (ISSN 1534-0392) is published monthly. CPAA is devoted to mathematical contributions to the sciences; both theoretical and applied papers, of original or expository type, are included. It features recent development in analysis and its applications, with a central theme on theoretical and numeric differential equations and applications. It is edited by some leading researchers to guarantee the journal's highest standard and closest link to the scientific communities.


Note: “Most Cited” is by Cross-Ref , and “Most Downloaded” is based on available data in the new website.

Select all articles

Export/Reference:

Multiplicity of periodic solutions for second-order perturbed Hamiltonian systems with local superquadratic conditions
Yan Liu and Fei Guo
2022, 21(10) : 3247-3261 doi: 10.3934/cpaa.2022098 +[Abstract](281) +[HTML](79) +[PDF](435.17KB)
Threshold dynamics of a reaction-diffusion cholera model with seasonality and nonlocal delay
Wenjing Wu, Tianli Jiang, Weiwei Liu and Jinliang Wang
2022, 21(10) : 3263-3282 doi: 10.3934/cpaa.2022099 +[Abstract](272) +[HTML](106) +[PDF](484.64KB)
Circular average relative to fractal measures
Seheon Ham, Hyerim Ko and Sanghyuk Lee
2022, 21(10) : 3283-3307 doi: 10.3934/cpaa.2022100 +[Abstract](235) +[HTML](71) +[PDF](599.1KB)
A remark on the well-posedness for a system of quadratic derivative nonlinear Schrödinger equations
Hiroyuki Hirayama, Shinya Kinoshita and Mamoru Okamoto
2022, 21(10) : 3309-3334 doi: 10.3934/cpaa.2022101 +[Abstract](293) +[HTML](77) +[PDF](478.81KB)
Eventually expansive semiflows
Keonhee Lee and Arnoldo Rojas
2022, 21(10) : 3335-3351 doi: 10.3934/cpaa.2022102 +[Abstract](224) +[HTML](164) +[PDF](351.88KB)
Smooth solutions to asymptotic Plateau type problem in hyperbolic space
Zhenan Sui and Wei Sun
2022, 21(10) : 3353-3369 doi: 10.3934/cpaa.2022103 +[Abstract](201) +[HTML](70) +[PDF](374.68KB)
Energy-dissipation for time-fractional phase-field equations
Dong Li, Chaoyu Quan and Jiao Xu
2022, 21(10) : 3371-3387 doi: 10.3934/cpaa.2022104 +[Abstract](221) +[HTML](63) +[PDF](388.79KB)
On the exponential time-decay for the one-dimensional wave equation with variable coefficients
Anton Arnold, Sjoerd Geevers, Ilaria Perugia and Dmitry Ponomarev
2022, 21(10) : 3389-3405 doi: 10.3934/cpaa.2022105 +[Abstract](308) +[HTML](59) +[PDF](406.42KB)
On the exterior problem for parabolic k-Hessian equations
Ziwei Zhou and Jiguang Bao
2022, 21(10) : 3407-3420 doi: 10.3934/cpaa.2022106 +[Abstract](305) +[HTML](65) +[PDF](368.75KB)
On the optimal decay rate of the weakly damped wave equation
Monica Conti, Lorenzo Liverani and Vittorino Pata
2022, 21(10) : 3421-3424 doi: 10.3934/cpaa.2022107 +[Abstract](221) +[HTML](64) +[PDF](275.22KB)
Schatten classes of Volterra operators on Bergman-type spaces in the unit ball
Junming Liu, Cheng Yuan and Honggang Zeng
2022, 21(10) : 3425-3439 doi: 10.3934/cpaa.2022108 +[Abstract](220) +[HTML](133) +[PDF](399.72KB)
Stability of hydrostatic equilibrium for the 2D BMHD system with partial dissipation
Dongfen Bian, Jingjing Mao and Xueke Pu
2022, 21(10) : 3441-3462 doi: 10.3934/cpaa.2022109 +[Abstract](275) +[HTML](51) +[PDF](419.73KB)
Planar systems and Abel equations
Amelia Álvarez, José Luis Bravo and Fernando Sánchez
2022, 21(10) : 3463-3478 doi: 10.3934/cpaa.2022110 +[Abstract](184) +[HTML](65) +[PDF](383.36KB)
Large deviations for stochastic $ 2D $ Navier-Stokes equations on time-dependent domains
Wei Wang, Jianliang Zhai and Tusheng Zhang
2022, 21(10) : 3479-3498 doi: 10.3934/cpaa.2022111 +[Abstract](179) +[HTML](148) +[PDF](466.02KB)
Classification of classical Friedrichs differential operators: One-dimensional scalar case
Marko Erceg and Sandeep Kumar Soni
2022, 21(10) : 3499-3527 doi: 10.3934/cpaa.2022112 +[Abstract](265) +[HTML](60) +[PDF](510.86KB)
Noise effect in a stochastic generalized Camassa-Holm equation
Yingting Miao, Zhenzhen Wang and Yongye Zhao
2022, 21(10) : 3529-3558 doi: 10.3934/cpaa.2022113 +[Abstract](179) +[HTML](49) +[PDF](549.44KB)
Uniqueness and sign properties of minimizers in a quasilinear indefinite problem
Uriel Kaufmann, Humberto Ramos Quoirin and Kenichiro Umezu
2021doi: 10.3934/10.3934/cpaa.2021078 +[Abstract](1046) +[HTML](542) +[PDF](319.8KB)
Analysis of COVID-19 epidemic transmission trend based on a time-delayed dynamic model
Tailei Zhang and Zhimin Li
2021doi: 10.3934/cpaa.2021088 +[Abstract](1248) +[HTML](672) +[PDF](468.47KB)
Data-driven optimal control of a seir model for COVID-19
Hailiang Liu and Xuping Tian
2021doi: 10.3934/cpaa.2021093 +[Abstract](1487) +[HTML](558) +[PDF](1372.32KB)
A linear, decoupled and positivity-preserving numerical scheme for an epidemic model with advection and diffusion
Jisheng Kou, Huangxin Chen, Xiuhua Wang and Shuyu Sun
2021doi: 10.3934/cpaa.2021094 +[Abstract](1060) +[HTML](778) +[PDF](1366.37KB)
Semi-discrete and fully discrete HDG methods for Burgers' equation
Zimo Zhu, Gang Chen and Xiaoping Xie
2021doi: 10.3934/cpaa.2021132 +[Abstract](933) +[HTML](485) +[PDF](488.08KB)
Dynamical analysis in disease transmission and final epidemic size
Daifeng Duan, Cuiping Wang and Yuan Yuan
2021doi: 10.3934/cpaa.2021150 +[Abstract](847) +[HTML](377) +[PDF](961.2KB)
Spatial dynamic analysis for COVID-19 epidemic model with diffusion and Beddington-DeAngelis type incidence
Tao Zheng, Yantao Luo, Xinran Zhou, Long Zhang and Zhidong Teng
2021doi: 10.3934/cpaa.2021154 +[Abstract](1188) +[HTML](415) +[PDF](1057.49KB)
Transmission dynamics and high infectiousness of Coronavirus Disease 2019
Shunxiang Huang, Lin Wu, Jing Li, Ming-Zhen Xin, Yingying Wang, Xingjie Hao, Zhongyi Wang, Qihong Deng and Bin-Guo Wang
2021doi: 10.3934/cpaa.2021155 +[Abstract](863) +[HTML](352) +[PDF](1835.77KB)
Basic reproduction number estimation and forecasting of COVID-19: A case study of India, Brazil and Peru
Nitu Kumari, Sumit Kumar, Sandeep Sharma, Fateh Singh and Rana Parshad
2021doi: 10.3934/cpaa.2021170 +[Abstract](962) +[HTML](517) +[PDF](2334.82KB)
Well-posedness of an interaction model on Riemannian manifolds
Razvan C. Fetecau and Francesco S. Patacchini
2022doi: 10.3934/cpaa.2022114 +[Abstract](190) +[HTML](54) +[PDF](530.59KB)
Comments on Poincaré theorem for quasi-periodic systems
Zhihua Ren, Tian Wang and Hao Wu
2022doi: 10.3934/cpaa.2022115 +[Abstract](126) +[HTML](47) +[PDF](384.04KB)
Large time behavior of the solutions with spreading fronts in the Allen-Cahn equations on $ \mathbb R^n $
Mitsunori Nara
2022doi: 10.3934/cpaa.2022116 +[Abstract](117) +[HTML](46) +[PDF](478.46KB)
On the polyanalytic short-time Fourier transform in the quaternionic setting
Antonino De Martino and Kamal Diki
2022doi: 10.3934/cpaa.2022117 +[Abstract](136) +[HTML](63) +[PDF](585.62KB)
The Riemann-Liouville fractional integral in Bochner-Lebesgue spaces I
Paulo Mendes de Carvalho Neto and Renato Fehlberg Júnior
2022doi: 10.3934/cpaa.2022118 +[Abstract](129) +[HTML](109) +[PDF](554.29KB)
On the time-delayed anomalous diffusion equations with nonlocal initial conditions
Nguyen Thi Van Anh and Bui Thi Hai Yen
2022doi: 10.3934/cpaa.2022119 +[Abstract](166) +[HTML](66) +[PDF](451.59KB)
Almost Global Existence for 3-D Quasilinear Wave Equations in Exterior Domains with Neumann Boundary Conditions
Meng Yuan
2022doi: 10.3934/cpaa.2022120 +[Abstract](101) +[HTML](53) +[PDF](606.82KB)
Dynamics of a periodic West Nile virus model with mosquito demographics
Zhenguo Bai and Zhiwen Zhang
2022doi: 10.3934/cpaa.2022121 +[Abstract](127) +[HTML](83) +[PDF](3190.07KB)
Counterexamples for the fractal Schrödinger convergence problem with an Intermediate Space Trick
Daniel Eceizabarrena and Felipe Ponce-Vanegas
2022doi: 10.3934/cpaa.2022122 +[Abstract](103) +[HTML](38) +[PDF](1203.44KB)
Locally constrained inverse mean curvature flow in GRW spacetimes
Guanghan Li and Kuicheng Ma
2022doi: 10.3934/cpaa.2022123 +[Abstract](86) +[HTML](66) +[PDF](379.55KB)
Global dynamics of a delayed air pollution dynamic model with saturated functional response and backward bifurcation
Ke Guo and Wanbiao Ma
2022doi: 10.3934/cpaa.2022124 +[Abstract](137) +[HTML](39) +[PDF](1201.33KB)
The Lotka-Volterra models with non-local reaction terms
Willian Cintra, Mónica Molina-Becerra and Antonio Suárez
2022doi: 10.3934/cpaa.2022125 +[Abstract](97) +[HTML](45) +[PDF](991.15KB)
Asymptotic stability of intermittently damped semi-linear hyperbolic-type equations
Jun-Ren Luo and Ti-Jun Xiao
2022doi: 10.3934/cpaa.2022126 +[Abstract](105) +[HTML](40) +[PDF](401.5KB)
Relaxation dynamics of SIR-flocks with random epidemic states
Seung-Yeal Ha, Hansol Park and Seoyeon Yang
2022doi: 10.3934/cpaa.2022127 +[Abstract](115) +[HTML](34) +[PDF](719.88KB)
Global properties of vector fields on compact Lie groups in Komatsu classes. II. Normal forms
Alexandre Kirilov, Wagner A. A. de Moraes and Michael Ruzhansky
2022doi: 10.3934/cpaa.2022128 +[Abstract](80) +[HTML](28) +[PDF](460.18KB)
Global well-posedness and large-time behavior of a hyperbolic-parabolic model in an exterior domain
Hua Zhong
2022doi: 10.3934/cpaa.2022129 +[Abstract](79) +[HTML](37) +[PDF](408.64KB)
On the Asymptotics of Some Strongly Damped Beam Equations with Structural Damping
Joseph Barrera
2022doi: 10.3934/cpaa.2022130 +[Abstract](81) +[HTML](61) +[PDF](429.45KB)
Asymptotic evaluations for multivariate Mellin convolution operators
Dumitru Popa
2022doi: 10.3934/cpaa.2022131 +[Abstract](101) +[HTML](36) +[PDF](482.17KB)
A note on the Gagliardo-Nirenberg inequality in a bounded domain
Congming Li and Kai Zhang
2022doi: 10.3934/cpaa.2022132 +[Abstract](91) +[HTML](28) +[PDF](275.33KB)
Spectral stability of small-amplitude dispersive shocks in quantum hydrodynamics with viscosity
Raffaele Folino, Ramón G. Plaza and Delyan Zhelyazov
2022doi: 10.3934/cpaa.2022133 +[Abstract](133) +[HTML](36) +[PDF](449.15KB)
On the almost sure scattering for the energy-critical cubic wave equation with supercritical data
Martin Spitz
2022doi: 10.3934/cpaa.2022134 +[Abstract](58) +[HTML](47) +[PDF](566.25KB)
New types of Caffarelli-Kohn-Nirenberg inequalities and applications
Xiaohong Guan and Zongming Guo
2022doi: 10.3934/cpaa.2022135 +[Abstract](79) +[HTML](58) +[PDF](433.0KB)
On the existence of weak martingale solution for stochastic non-homogeneous penalised nematic liquid crystal system
Zhaoyang Qiu
2022doi: 10.3934/cpaa.2022136 +[Abstract](47) +[HTML](20) +[PDF](463.04KB)
Stable standing waves of nonlinear fractional Schrödinger equations
Zaizheng Li, Qidi Zhang and Zhitao Zhang
2022doi: 10.3934/cpaa.2022137 +[Abstract](77) +[HTML](24) +[PDF](617.98KB)
Blow-up prevention by logistic source in an $ N $-D chemotaxis-convection model of capillary-sprout growth during tumor angiogenesis
Jiashan Zheng and Yuanyuan Ke
2022doi: 10.3934/cpaa.2022138 +[Abstract](47) +[HTML](18) +[PDF](491.89KB)
An optimal result for global classical and bounded solutions in a two-dimensional Keller-Segel-Navier-Stokes system with saturated sensitivity
Kaiqiang Li and Jiashan Zheng
2022doi: 10.3934/cpaa.2022139 +[Abstract](14) +[HTML](8) +[PDF](552.64KB)
Boundary partial regularity for minimizers of discontinuous quasiconvex integrals with general growth
Jihoon Ok, Giovanni Scilla and Bianca Stroffolini
2022doi: 10.3934/cpaa.2022140 +[Abstract](22) +[HTML](8) +[PDF](661.69KB)
Multi-dimensional besicovitch almost periodic type functions and applications
Marko Kostić
2022doi: 10.3934/cpaa.2022141 +[Abstract](18) +[HTML](6) +[PDF](616.09KB)
Viscosity solutions to the infinity Laplacian equation with strong absorptions
Tao Lin and Fang Liu
2022doi: 10.3934/cpaa.2022142 +[Abstract](17) +[HTML](11) +[PDF](425.69KB)
A general multipurpose interpolation procedure: the magic points
Yvon Maday, Ngoc Cuong Nguyen, Anthony T. Patera and S. H. Pau
2009, 8(1) : 383-404 doi: 10.3934/cpaa.2009.8.383 +[Abstract](7109) +[PDF](826.7KB) Cited By(107)
On the stationary solutions of generalized reaction diffusion equations with $p\& q$-Laplacian
L. Cherfils and Y. Il'yasov
2005, 4(1) : 9-22 doi: 10.3934/cpaa.2005.4.9 +[Abstract](4510) +[PDF](225.5KB) Cited By(106)
Almost periodicity analysis for a delayed Nicholson's blowflies model with nonlinear density-dependent mortality term
Chuangxia Huang, Hua Zhang and Lihong Huang
2019, 18(6) : 3337-3349 doi: 10.3934/cpaa.2019150 +[Abstract](4786) +[HTML](244) +[PDF](373.99KB) Cited By(102)
A Brezis-Nirenberg result for non-local critical equations in low dimension
Raffaella Servadei and Enrico Valdinoci
2013, 12(6) : 2445-2464 doi: 10.3934/cpaa.2013.12.2445 +[Abstract](6346) +[PDF](509.5KB) Cited By(93)
Convergence of generalized proximal point algorithms
Giuseppe Marino and Hong-Kun Xu
2004, 3(4) : 791-808 doi: 10.3934/cpaa.2004.3.791 +[Abstract](5979) +[PDF](181.7KB) Cited By(90)
Periodic solutions of nonlinear periodic differential systems with a small parameter
Adriana Buică, Jean–Pierre Françoise and Jaume Llibre
2007, 6(1) : 103-111 doi: 10.3934/cpaa.2007.6.103 +[Abstract](3568) +[PDF](130.3KB) Cited By(79)
The two-dimensional Riemann problem for isentropic Chaplygin gas dynamic system$^*$
Lihui Guo, Wancheng Sheng and Tong Zhang
2010, 9(2) : 431-458 doi: 10.3934/cpaa.2010.9.431 +[Abstract](5935) +[PDF](1276.3KB) Cited By(72)
Uniqueness of positive solutions to some coupled nonlinear Schrödinger equations
Juncheng Wei and Wei Yao
2012, 11(3) : 1003-1011 doi: 10.3934/cpaa.2012.11.1003 +[Abstract](4361) +[PDF](366.4KB) Cited By(69)
A Liouville type Theorem for an integral system
Dezhong Chen and Li Ma
2006, 5(4) : 855-859 doi: 10.3934/cpaa.2006.5.855 +[Abstract](4874) +[PDF](102.3KB) Cited By(69)
On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions
Gianni Gilardi, A. Miranville and Giulio Schimperna
2009, 8(3) : 881-912 doi: 10.3934/cpaa.2009.8.881 +[Abstract](5262) +[PDF](395.6KB) Cited By(69)
Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis
Norikazu Saito
2012, 11(1) : 339-364 doi: 10.3934/cpaa.2012.11.339 +[Abstract](6184) +[PDF](486.1KB) PDF Downloads(1479)
The Landau-de Gennes theory of nematic liquid crystals: Uniaxiality versus Biaxiality
Apala Majumdar
2012, 11(3) : 1303-1337 doi: 10.3934/cpaa.2012.11.1303 +[Abstract](4300) +[PDF](596.9KB) PDF Downloads(1133)
Mean value properties and unique continuation
José G. Llorente
2015, 14(1) : 185-199 doi: 10.3934/cpaa.2015.14.185 +[Abstract](3557) +[PDF](427.4KB) PDF Downloads(1111)
Bifurcation and stability of a two-species diffusive Lotka-Volterra model
Li Ma and Shangjiang Guo
2020, 19(3) : 1205-1232 doi: 10.3934/cpaa.2020056 +[Abstract](3320) +[HTML](92) +[PDF](419.64KB) PDF Downloads(1084)
Global existence and blow-up of solutions to a semilinear heat equation with singular potential and logarithmic nonlinearity
Xiumei Deng and Jun Zhou
2020, 19(2) : 923-939 doi: 10.3934/cpaa.2020042 +[Abstract](3584) +[HTML](113) +[PDF](356.11KB) PDF Downloads(736)
On the Dirichlet boundary value problem for the normalized $p$-laplacian evolution
Agnid Banerjee and Nicola Garofalo
2015, 14(1) : 1-21 doi: 10.3934/cpaa.2015.14.1 +[Abstract](3841) +[PDF](486.2KB) PDF Downloads(705)
W1, p-estimates for elliptic equations with lower order terms
Byungsoo Kang and Hyunseok Kim
2017, 16(3) : 799-822 doi: 10.3934/cpaa.2017038 +[Abstract](3560) +[HTML](134) +[PDF](491.2KB) PDF Downloads(701)
Spatial dynamic analysis for COVID-19 epidemic model with diffusion and Beddington-DeAngelis type incidence
Tao Zheng, Yantao Luo, Xinran Zhou, Long Zhang and Zhidong Teng
2021, 0(0) : 0 doi: 10.3934/cpaa.2021154 +[Abstract](1188) +[HTML](415) +[PDF](1057.49KB) PDF Downloads(683)
Analysis of COVID-19 epidemic transmission trend based on a time-delayed dynamic model
Tailei Zhang and Zhimin Li
2021, 0(0) : 0 doi: 10.3934/cpaa.2021088 +[Abstract](1248) +[HTML](672) +[PDF](468.47KB) PDF Downloads(655)
Data-driven optimal control of a seir model for COVID-19
Hailiang Liu and Xuping Tian
2021, 0(0) : 0 doi: 10.3934/cpaa.2021093 +[Abstract](1487) +[HTML](558) +[PDF](1372.32KB) PDF Downloads(653)

2021 Impact Factor: 1.273
5 Year Impact Factor: 1.282
2021 CiteScore: 2.2

Readers

Authors

Editors

Referees

Librarians

Special Issues

Email Alert

[Back to Top]

Copyright © 2022 American Institute of Mathematical Sciences | Privacy Policy