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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.


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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

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