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Discrete and Continuous Dynamical Systems

Short Title: Discrete Contin. Dyn. Syst.
Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO
ISSN: 1078-0947; 0133-0189; 1553-5231/e
Online: https://www.aimsciences.org/DCDS
https://www.aimsciences.org/proc
Comments: Journal; Indexed cover-to-cover; The electronic version has the addition: Series A.
Documents Indexed: 5,977 Publications (since 1995)
References Indexed: 2,743 Publications with 75,531 References.
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Latest Issues

45, No. 3 (2025)
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37, No. 2 (2017)
37, No. 1 (2017)
36, No. 12 (2016)
36, No. 11 (2016)
...and 187 more Volumes
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Authors

20 Llibre, Jaume
19 Temam, Roger Meyer
18 Miranville, Alain M.
17 Li, Congming
17 Valls Anglés, Cláudia
16 Barreira, Luis Manuel
16 Chen, Wenxiong
16 Shen, Wenxian
16 Wang, Bixiang
16 Wei, Juncheng
15 Bona, Jerry Lloyd
15 Bressan, Alberto
15 Caraballo Garrido, Tomás
15 Grasselli, Maurizio
15 Ni, Wei-Ming
14 Graef, John R.
14 Lou, Yuan
13 de la Llave, Rafael
13 Guo, Boling
13 Oprocha, Piotr
13 Pata, Vittorino
13 Yin, Zhaoyang
12 Díaz Díaz, Jesús Ildefonso
12 Feng, Zhaosheng
12 Kloeden, Peter Eris
12 Kukavica, Igor
12 Mu, Chunlai
12 Ozawa, Tohru
12 Valdinoci, Enrico
11 Feireisl, Eduard
11 López-Gómez, Julián
11 Papageorgiou, Nikolaos S.
11 Terracini, Susanna
10 Dancer, Edward Norman
10 Gasull, Armengol
10 Giga, Yoshikazu
10 Kunisch, Karl
10 Lasiecka, Irena
10 Li, Wan-Tong
10 Lin, Fang Hua
10 Morales Rojas, Carlos Arnoldo
10 Ôtani, Mitsuharu
10 Urbański, Mariusz
10 Wang, Shouhong
10 Zhong, Chengkui
10 Zhou, Shengfan
9 Chen, Gui-Qiang G.
9 Deng, Yinbin
9 Guo, Yuxia
9 Hilhorst, Danielle
9 Holden, Helge
9 Lei, Yutian
9 Lopes, Artur Oscar
9 Lu, Kening
9 Minhós, Feliz Manuel
9 Peng, Shuangjie
9 Sire, Yannick
9 Tan, Zhong
9 Xu, Junxiang
9 Yamazaki, Noriaki
9 Yotsutani, Shoji
8 Chen, Xinfu
8 Chepyzhov, Vladimir V.
8 Delshams, Amadeu
8 Dipierro, Serena
8 Dong, Hongjie
8 Dumortier, Freddy
8 Feng, Wei
8 Figalli, Alessio
8 Galatolo, Stefano
8 García-Huidobro, Marta
8 Gazzola, Filippo
8 Gidea, Marian
8 Jiang, Yunping
8 Koch, Hans-Friedrich
8 Kong, Lingju
8 Li, Yi
8 Lu, Xin
8 Misiurewicz, Michał
8 Ninomiya, Hirokazu
8 Pistoia, Angela
8 Poláčik, Peter
8 Rădulescu, Vicenţiu D.
8 Real Anguas, José
8 Rodríguez-Bernal, Aníbal
8 Schimperna, Giulio
8 Shi, Junping
8 Squassina, Marco
8 Tachim Medjo, Theodore
8 Tang, Xianhua
8 Taniguchi, Masaharu
8 Tian, Xueting
8 Trofimchuk, Sergei I.
8 Valero, José
8 Vazquez, Juan Luis
8 Wang, Mingxin
8 Wang, Zhi-Qiang
8 Wen, Lan
8 Yamada, Yoshio
8 Yokota, Tomomi
...and 7,057 more Authors
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Fields

3,166 Partial differential equations (35-XX)
2,110 Dynamical systems and ergodic theory (37-XX)
945 Ordinary differential equations (34-XX)
651 Fluid mechanics (76-XX)
452 Biology and other natural sciences (92-XX)
358 Operator theory (47-XX)
354 Calculus of variations and optimal control; optimization (49-XX)
297 Numerical analysis (65-XX)
267 Probability theory and stochastic processes (60-XX)
233 Mechanics of particles and systems (70-XX)
212 Global analysis, analysis on manifolds (58-XX)
207 Differential geometry (53-XX)
202 Systems theory; control (93-XX)
182 Mechanics of deformable solids (74-XX)
165 Measure and integration (28-XX)
149 Statistical mechanics, structure of matter (82-XX)
134 Integral equations (45-XX)
102 Difference and functional equations (39-XX)
92 General topology (54-XX)
85 Functional analysis (46-XX)
85 Classical thermodynamics, heat transfer (80-XX)
79 Quantum theory (81-XX)
76 Number theory (11-XX)
73 Real functions (26-XX)
59 Optics, electromagnetic theory (78-XX)
55 Functions of a complex variable (30-XX)
55 Geophysics (86-XX)
50 Operations research, mathematical programming (90-XX)
48 Harmonic analysis on Euclidean spaces (42-XX)
48 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
43 Topological groups, Lie groups (22-XX)
41 General and overarching topics; collections (00-XX)
37 Convex and discrete geometry (52-XX)
36 Manifolds and cell complexes (57-XX)
35 Combinatorics (05-XX)
32 Several complex variables and analytic spaces (32-XX)
31 Potential theory (31-XX)
31 Computer science (68-XX)
30 Group theory and generalizations (20-XX)
24 Approximations and expansions (41-XX)
20 Algebraic geometry (14-XX)
20 Information and communication theory, circuits (94-XX)
19 Statistics (62-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
15 History and biography (01-XX)
14 Special functions (33-XX)
14 Abstract harmonic analysis (43-XX)
13 Algebraic topology (55-XX)
13 Relativity and gravitational theory (83-XX)
12 Astronomy and astrophysics (85-XX)
10 Order, lattices, ordered algebraic structures (06-XX)
8 Mathematical logic and foundations (03-XX)
8 Field theory and polynomials (12-XX)
7 Geometry (51-XX)
6 Integral transforms, operational calculus (44-XX)
5 Associative rings and algebras (16-XX)
5 Nonassociative rings and algebras (17-XX)
4 Commutative algebra (13-XX)
2 Category theory; homological algebra (18-XX)
2 Sequences, series, summability (40-XX)
1 General algebraic systems (08-XX)
1 \(K\)-theory (19-XX)

Publications by Year

Citations contained in zbMATH Open

4,936 Publications have been cited 52,446 times in 37,811 Documents Cited by Year
Numerical approximations of Allen-Cahn and Cahn-Hilliard equations. Zbl 1201.65184
Shen, Jie; Yang, Xiaofeng
573
2010
Variational methods for non-local operators of elliptic type. Zbl 1303.35121
Servadei, Raffaella; Valdinoci, Enrico
454
2013
Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model. Zbl 1146.92028
Allen, L. J. S.; Bolker, B. M.; Lou, Y.; Nevai, A. L.
345
2008
Global attractors for damped semilinear wave equations. Zbl 1056.37084
Ball, J. M.
322
2004
Global well-posedness of the viscous Boussinesq equations. Zbl 1274.76185
Hou, Thomas Y.; Li, Congming
277
2005
Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation. Zbl 1161.92048
Li, Xiaoyue; Mao, Xuerong
249
2009
Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation. Zbl 1149.35307
Escher, Joachim; Lechtenfeld, Olaf; Yin, Zhaoyang
203
2007
Random attractors for non-autonomous stochastic wave equations with multiplicative noise. Zbl 1277.35068
Wang, Bixiang
190
2014
Random dispersal vs. non-local dispersal. Zbl 1187.35127
Kao, Chiu-Yen; Lou, Yuan; Shen, Wenxian
184
2010
Remarks on regularities for the 3D MHD equations. Zbl 1068.35117
Zhou, Yong
184
2005
Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces. Zbl 1515.35047
Cao, Xinru
183
2015
The problem of blow-up in nonlinear parabolic equations. Zbl 1010.35057
Galaktionov, Victor A.; Vázquez, Juan L.
183
2002
Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior. Zbl 1276.35103
Di Francesco, Marco; Lorz, Alexander; Markowich, Peter A.
181
2010
Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion. Zbl 1276.35105
Tao, Youshan; Winkler, Michael
161
2012
Vacuum states for compressible flow. Zbl 0970.76084
Liu, Tai-Ping; Xin, Zhouping; Yang, Tong
159
1998
A survey of the Schrödinger problem and some of its connections with optimal transport. Zbl 1277.49052
Léonard, Christian
154
2014
Existence of smooth solutions to coupled chemotaxis-fluid equations. Zbl 1277.35276
Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon
149
2013
On the number of limit cycles in general planar piecewise linear systems. Zbl 1248.34033
Huan, Song-Mei; Yang, Xiao-Song
143
2012
Positive solution for a nonlinear stationary Schrödinger-Poisson system in \(\mathbb R^3\). Zbl 1133.35427
Wang, Zhengping; Zhou, Huan-Song
142
2007
Stabilization in a chemotaxis model for tumor invasion. Zbl 1322.35059
Yokota, Tomomi; Winkler, Michael; Ito, Akio; Fujie, Kentarou
138
2016
Partial regularity of the dynamic system modeling the flow of liquid crystals. Zbl 0948.35098
Lin, Fang-Hua; Liu, Chun
137
1996
Unconditionally stable schemes for equations of thin film epitaxy. Zbl 1201.65166
Wang, Cheng; Wang, Xiaoming; Wise, Steven M.
136
2010
Global stability for damped Timoshenko systems. Zbl 1047.35023
Muñoz Rivera, J. E.; Racke, R.
133
2003
Qualitative properties of solutions for an integral equation. Zbl 1081.45003
Chen, Wenxiong; Li, Congming; Ou, Biao
131
2005
Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains. Zbl 1347.35129
Bonforte, Matteo; Sire, Yannick; Vázquez, Juan Luis
129
2015
Non-autonomous and random attractors for delay random semilinear equations without uniqueness. Zbl 1155.60025
Caraballo, T.; Garrido-Atienza, M. J.; Schmalfuss, B.; Valero, J.
126
2008
BKM’s criterion and global weak solutions for magnetohydrodynamics with zero viscosity. Zbl 1171.35452
Lei, Zhen; Zhou, Yi
126
2009
Attractors for nonautonomous 2D Navier-Stokes equations with normal external forces. Zbl 1083.35094
Lu, Songsong; Wu, Hongqing; Zhong, Chengkui
111
2005
Piecewise linear perturbations of a linear center. Zbl 1312.37037
Buzzi, Claudio; Pessoa, Claudio; Torregrosa, Joan
110
2013
Ground state solutions of Nehari-Pohozaev type for Schrödinger-Poisson problems with general potentials. Zbl 1371.35051
Tang, Xianhua; Chen, Sitong
110
2017
Traveling waves of diffusive predator-prey systems: disease outbreak propagation. Zbl 1241.92069
Wang, Xiang-Sheng; Wang, Haiyan; Wu, Jianhong
108
2012
Dissipative solutions for the Camassa-Holm equation. Zbl 1178.65099
Holden, Helge; Raynaud, Xavier
107
2009
Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations. Zbl 1332.45009
Leonori, Tommaso; Peral, Ireneo; Primo, Ana; Soria, Fernando
107
2015
Gamma-convergence of gradient flows on Hilbert and metric spaces and applications. Zbl 1239.35015
Serfaty, Sylvia
101
2011
Breakdown of solutions to \(\square u+u_ t=| u| ^{1+\alpha}\). Zbl 0872.35067
Li, Ta-Tsien; Zhou, Yi
97
1995
Entire solutions of reaction-diffusion equations and an application to discrete diffusive equations. Zbl 1065.35130
Guo, Jong-Shenq; Morita, Yoshihisa
97
2005
Reaction-diffusion-advection models for the effects and evolution of dispersal. Zbl 1277.35002
Cosner, Chris
96
2014
Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in \(\text{RCD}(K, \infty)\) metric measure spaces. Zbl 1275.49087
Savaré, Giuseppe
95
2014
The thermodynamic formalism for sub-additive potentials. Zbl 1140.37319
Cao, Yong-Luo; Feng, De-Jun; Huang, Wen
94
2008
Boundedness in a parabolic-parabolic quasilinear chemotaxis system with logistic source. Zbl 1277.35215
Wang, Liangchen; Li, Yuhuan; Mu, Chunlai
93
2014
Ergodic optimization. Zbl 1116.37017
Jenkinson, Oliver
93
2006
Symmetry and non-existence of solutions for a nonlinear system involving the fractional Laplacian. Zbl 1322.31007
Yuan, Zixia; Cui, Xuewei; Chen, Wenxiong; Zhuo, Ran
92
2016
Uniform exponential attractors for a singularly perturbed damped wave equation. Zbl 1060.35011
Fabrie, Pierre; Galusinski, Cedric; Miranville, Alain; Zelik, Sergey
91
2004
Stability of variational eigenvalues for the fractional \(p\)-Laplacian. Zbl 1336.35270
Brasco, Lorenzo; Parini, Enea; Squassina, Marco
90
2016
Asymptotic behaviour of the solutions of fractional integro-differential equations and some time discretizations. Zbl 1163.45306
Cuesta, Eduardo
89
2007
Analysis of a linear fluid-structure interaction problem. Zbl 1039.35076
Du, Qiang; Gunzburger, M. D.; Hou, L. S.; Lee, J.
89
2003
On the global existence of a cross-diffusion system. Zbl 0960.35049
Lou, Yuan; Ni, Wei-Ming; Wu, Yaping
88
1998
Existence and qualitative properties of multidimensional conical bistable fronts. Zbl 1097.35078
Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel
87
2005
Regularity results for weak solutions of the 3D MHD equations. Zbl 1055.76062
Wu, Jiahong
86
2004
Existence of traveling wavefronts of delayed reaction diffusion systems without monotonicity. Zbl 1093.34030
Huang, Jianhua; Zou, Xingfu
86
2003
Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption. Zbl 1375.35575
Lankeit, Johannes; Wang, Yulan
86
2017
An integral system and the Lane-Emden conjecture. Zbl 1176.35067
Chen, Wenxiong; Li, Congming
84
2009
The diffusive logistic model with a free boundary and seasonal succession. Zbl 1273.35327
Peng, Rui; Zhao, Xiao-Qiang
81
2013
On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients. Zbl 1027.35057
Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik
81
2003
Sharp well-posedness results for the BBM equation. Zbl 1170.35303
Bona, Jerry; Tzvetkov, Nikolay
80
2009
Qualitative analysis for a Lotka-Volterra competition system in advective homogeneous environment. Zbl 1322.35072
Zhou, Peng; Xiao, Dongmei; Lou, Yuan
80
2016
Schrödinger equations with a spatially decaying nonlinearity: existence and stability of standing waves. Zbl 1154.35082
Genoud, François; Stuart, Charles A.
78
2008
Reaction-diffusion equations for population dynamics with forced speed. I: The case of the whole space. Zbl 1173.35542
Berestycki, Henri; Rossi, Luca
77
2008
Wellposedness for a parabolic-elliptic system. Zbl 1082.35056
Coclite, Giuseppe Maria; Holden, Helge; Karlsen, Kenneth Hvistendahl
76
2005
Necessary optimality conditions for fractional difference problems of the calculus of variations. Zbl 1209.49020
Bastos, Nuno R. O.; Ferreira, Rui A. C.; Torres, Delfim F. M.
74
2011
Longtime behavior for a model of homogeneous incompressible two-phase flows. Zbl 1194.35056
Gal, Ciprian G.; Grasselli, Maurizio
73
2010
On a limiting system in the Lotka-Volterra competition with cross-diffusion. Zbl 1174.35360
Lou, Yuan; Ni, Wei-Ming; Yotsutani, Shoji
73
2004
A spectral characterization of exponential stability for linear time-invariant systems on time scales. Zbl 1054.34086
Pötzsche, Christian; Siegmund, Stefan; Wirth, Fabian
73
2003
Positive solutions for perturbations of the Robin eigenvalue problem plus an indefinite potential. Zbl 1365.35017
Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.; Repovš, Dušan D.
73
2017
Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly coupled cross-diffusion. Zbl 1047.35054
Choi, Y. S.; Lui, Roger; Yamada, Yoshio
71
2004
A partially hinged rectangular plate as a model for suspension bridges. Zbl 1336.35012
Gazzola, Filippo; Ferrero, Alberto
71
2015
Ground state solutions for Hamiltonian elliptic system with inverse square potential. Zbl 1370.35111
Zhang, Jian; Zhang, Wen; Tang, Xianhua
71
2017
The global attractor for the solutions to the 3D viscous primitive equations. Zbl 1131.35065
Ju, Ning
70
2007
Gap solitons in periodic discrete nonlinear Schrödinger equations. II: A generalized Nehari manifold approach. Zbl 1220.35164
Pankov, A.
70
2007
On energetic variational approaches in modeling the nematic liquid crystal flows. Zbl 1156.76007
Sun, Huan; Liu, Chun
70
2009
Random dynamics of fractional nonclassical diffusion equations driven by colored noise. Zbl 1414.37032
Wang, Renhai; Li, Yangrong; Wang, Bixiang
70
2019
Well-posedness, blow up, and global existence for an integrable shallow water equation. Zbl 1061.35123
Yin, Zhaoyang
69
2004
Unique continuation properties for relativistic Schrödinger operators with a singular potential. Zbl 1336.35356
Fall, Mouhamed Moustapha; Felli, Veronica
69
2015
The Cauchy problem for the 3D Zakharov-Kuznetsov equation. Zbl 1170.35086
Linares, F.; Saut, Jean-Claude
68
2009
Regularity of 3D axisymmetric Navier-Stokes equations. Zbl 1364.35114
Zhang, Ting; Fang, Daoyuan; Chen, Hui
67
2017
Invasion entire solutions in a competition system with nonlocal dispersal. Zbl 1319.35088
Li, Wan-Tong; Zhang, Li; Zhang, Guo-Bao
66
2015
Global existence and boundedness for chemotaxis-Navier-Stokes systems with position-dependent sensitivity in 2D bounded domains. Zbl 1308.35214
Ishida, Sachiko
66
2015
Attractors for semilinear strongly damped wave equations on \(\mathbb{R}^3\). Zbl 1200.35032
Belleri, Veronica; Pata, Vittorino
66
2001
Large \(s\)-harmonic functions and boundary blow-up solutions for the fractional Laplacian. Zbl 1333.31013
Abatangelo, Nicola
66
2015
On a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1342.35407
Colli, Pierluigi; Gilardi, Gianni; Hilhorst, Danielle
65
2015
Improved results for Klein-Gordon-Maxwell systems with general nonlinearity. Zbl 1398.35026
Chen, Sitong; Tang, Xianhua
65
2018
Uniqueness of weak solutions for the semilinear wave equations with supercritical boundary/interior sources and damping. Zbl 1156.35432
Bociu, Lorena; Lasiecka, Irena
64
2008
Global stability of traveling curved fronts in the Allen-Cahn equations. Zbl 1118.35012
Ninomiya, Hirokazu; Taniguchi, Masaharu
63
2006
Cauchy problem for the Ostrovsky equation. Zbl 1059.35035
Varlamov, V.; Liu, Yue
63
2004
Sharp constant and extremal function for the improved Moser-Trudinger inequality involving \(L^p\) norm in two dimension. Zbl 1182.35093
Lu, Guozhen; Yang, Yunyan
63
2009
Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. I: Compactons and peakons. Zbl 0949.35118
Li, Y. A.; Olver, P. J.
63
1997
Multiplicity and concentration results for some nonlinear Schrödinger equations with the fractional \(p\)-Laplacian. Zbl 06951275
Ambrosio, Vincenzo; Isernia, Teresa
63
2018
A convergent numerical scheme for the Camassa-Holm equation based on multipeakons. Zbl 1111.35061
Holden, Helge; Raynaud, Xavier
62
2006
Critical exponent for the semilinear wave equation with time-dependent damping. Zbl 1255.35058
Lin, Jiayun; Nishihara, Kenji; Zhai, Jian
62
2012
Uniqueness and nondegeneracy of solutions for a critical nonlocal equation. Zbl 1425.35025
Du, Lele; Yang, Minbo
62
2019
Uniqueness of conservative solutions to the Camassa-Holm equation via characteristics. Zbl 1304.35017
Bressan, Alberto; Chen, Geng; Zhang, Qingtian
61
2015
Asymptotic properties and classification of bistable fronts with Lipschitz level sets. Zbl 1194.35151
Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel
61
2006
Sufficient conditions for the regularity to the 3D Navier-Stokes equations. Zbl 1186.35136
Cao, Chongsheng
61
2010
Global dynamics in a fully parabolic chemotaxis system with logistic source. Zbl 1352.35067
Mu, Chunlai; Lin, Ke
61
2016
Stability and random attractors for a reaction-diffusion equation with multiplicative noise. Zbl 1011.37031
Caraballo, Tomás; Langa, José A.; Robinson, James C.
61
2000
Pullback attractors for 2D-Navier-Stokes equations with delays in continuous and sub-linear operators. Zbl 1187.35018
Marín-Rubio, Pedro; Real, José
60
2010
The non-isothermal Allen-Cahn equation with dynamic boundary conditions. Zbl 1160.35353
Gal, Ciprian G.; Grasselli, Maurizio
60
2008
Existence theorems for periodic Markov process and stochastic functional differential equations. Zbl 1171.34056
Xu, Daoyi; Huang, Yumei; Yang, Zhiguo
59
2009
Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1169.35315
Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
58
2009
The Fourier restriction norm method for the Zakharov-Kuznetsov equation. Zbl 1280.35124
Grünrock, Axel; Herr, Sebastian
58
2014
Blow-up profile of normalized solutions for fractional nonlinear Schrödinger equation with negative potentials. Zbl 07906826
Li, Zaizheng; Luo, Haijun; Zhang, Zhitao
1
2025
Blow-up of solutions to semilinear wave equations with spatial derivatives. Zbl 07946838
Shao, Kerun; Takamura, Hiroyuki; Wang, Chengbo
1
2025
Normalized ground states for Sobolev critical nonlinear Schrödinger equation in the \(L^2\)-supercritical case. Zbl 1529.35164
Li, Quanqing; Zou, Wenming
11
2024
Hausdorff dimension analysis of sets with the product of consecutive vs single partial quotients in continued fractions. Zbl 1536.11122
Hussain, Mumtaz; Li, Bixuan; Shulga, Nikita
3
2024
Kinetic Schauder estimates with time-irregular coefficients and uniqueness for the Landau equation. Zbl 1534.35399
Henderson, Christopher; Wang, Weinan
2
2024
Continuum-wise hyperbolic homeomorphisms on surfaces. Zbl 07787719
Arruda, Rodrigo; Carvalho, Bernardo; Sarmiento, Alberto
2
2024
The connection between the dynamical properties of 3D systems and the image of the energy-Casimir mapping. Zbl 1538.70029
Xu, Mingxing; Shi, Shaoyun; Huang, Kaiyin
2
2024
On a structure of non-wandering set of an \(\Omega\)-stable 3-diffeomorphism possessing a hyperbolic attractor. Zbl 1531.37018
Barinova, Marina; Pochinka, Olga; Yakovlev, Evgeniy
1
2024
Existence of traveling wave solutions in a singularly perturbed predator-prey equation with spatial diffusion. Zbl 1530.34052
Zhu, Zirui; Liu, Xingbo
1
2024
Global existence and decay rates to a self-consistent chemotaxis-fluid system. Zbl 1529.35529
Carrillo, José A.; Peng, Yingping; Xiang, Zhaoyin
1
2024
Stabilization in two-species chemotaxis systems with singular sensitivity and Lotka-Volterra competitive kinetics. Zbl 1536.35067
Kurt, Halil Ibrahim; Shen, Wenxian
1
2024
On the probability of positive finite-time Lyapunov exponents on strange nonchaotic attractors. Zbl 07818411
Remo, Flavia; Fuhrmann, Gabriel; Jäger, Tobias
1
2024
A class of critical \(p\)-Kirchhoff type equations on closed manifolds. Zbl 1534.35174
Bai, Xiaojin; Chen, Nanbo; Liu, Xiaochun
1
2024
Response solutions for finite smooth harmonic oscillators with quasi-periodic forcing. Zbl 1541.37064
Hu, Shengqing; Zhang, Jing
1
2024
Convergence of rough Follow-the-Leader approximations and existence of weak solutions for the one-dimensional Hughes model. Zbl 1537.35223
Storbugt, Halvard Olsen
1
2024
Spreading properties for a predation-competition system with nonlocal dispersal in shifting habitats. Zbl 1537.35355
Wang, Jing; Li, Wan-Tong; Wang, Jia-Bing; Yang, Fei-Ying
1
2024
New results on controllability and stability for degenerate Euler-Bernoulli type equations. Zbl 1542.35048
Camasta, Alessandro; Fragnelli, Genni
1
2024
On a Hamiltonian regularization of scalar conservation laws. Zbl 1531.35175
Guelmame, Billel
1
2024
On a Brezis-Oswald-type result for degenerate Kirchhoff problems. Zbl 1532.35202
Biagi, Stefano; Vecchi, Eugenio
1
2024
Quasi-compactness of transfer operators for topological Markov shifts with holes. Zbl 07896599
Tanaka, Haruyoshi
1
2024
Global solutions for a family of GSQG front equations. Zbl 1545.35094
Hunter, John K.; Shu, Jingyang; Zhang, Qingtian
1
2024
Threshold even solutions to the nonlinear Schrödinger equation with delta potential at high frequencies. Zbl 07901502
Gustafson, Stephen; Inui, Takahisa
1
2024
On weighted Orlicz-Sobolev inequalities. Zbl 07901503
Anoop, T. V.; Das, Ujjal; Roy, Subhajit
1
2024
Examples of projective billiards with open sets of periodic orbits. Zbl 07901507
Fierobe, Corentin
1
2024
Boundary layer problem on the chemotaxis model with Robin boundary conditions. Zbl 1528.35007
Hou, Qianqian
1
2024
Response solutions of a class of degenerate quasi-periodic systems with a small parameter. Zbl 1532.37056
Yang, Xiaomei; Xu, Junxiang
1
2024
Blow-up for a fully fractional heat equation. Zbl 1528.35019
Ferreira, Raúl; de Pablo, Arturo
1
2024
The separation property for 2D Cahn-Hilliard equations: local, nonlocal and fractional energy cases. Zbl 1514.35039
Gal, Ciprian G.; Giorgini, Andrea; Grasselli, Maurizio
20
2023
Global well-posedness of the viscous Camassa-Holm equation with gradient noise. Zbl 1515.35376
Holden, Helge; Karlsen, Kenneth H.; Pang, Peter H. C.
11
2023
Normalized solutions for Kirchhoff type equations with combined nonlinearities: the Sobolev critical case. Zbl 1519.35148
Feng, Xiaojing; Liu, Haidong; Zhang, Zhitao
9
2023
Discrete geometric singular perturbation theory. Zbl 1540.39005
Jelbart, Samuel; Kuehn, Christian
8
2023
Multispike solutions for a slightly subcritical elliptic problem with non-power nonlinearity. Zbl 1514.35217
Ben Ayed, Mohamed; Fourti, Habib; Ghoudi, Rabeh
5
2023
Emergence of biological transportation networks as a self-regulated process. Zbl 1518.35216
Haskovec, Jan; Markowich, Peter; Portaro, Simone
4
2023
Examples of finite time blow up in mass dissipative reaction-diffusion systems with superquadratic growth. Zbl 1518.35152
Pierre, Michel; Schmitt, Didier
4
2023
The Cauchy-Dirichlet problem for singular nonlocal diffusions on bounded domains. Zbl 1518.35440
Bonforte, Matteo; Ibarrondo, Peio; Ispizua, Mikel
4
2023
The existence and asymptotic behaviours of normalized solutions for critical fractional Schrödinger equation with Choquard term. Zbl 1514.35467
Li, Meng; He, Jinchun; Xu, Haoyuan; Yang, Meihua
4
2023
Asymptotic stability of solitary waves for the \(1d\) NLS with an attractive delta potential. Zbl 1516.35384
Masaki, Satoshi; Murphy, Jason; Segata, Jun-Ichi
4
2023
Ergodic average of typical orbits and typical functions. Zbl 1523.37011
Hou, Xiaobo; Lin, Wanshan; Tian, Xueting
4
2023
A 3D-Schrödinger operator under magnetic steps with semiclassical applications. Zbl 1514.35123
Assaad, Wafaa; Giacomelli, Emanuela L.
4
2023
Bounds and long term convergence for the voltage-conductance kinetic system arising in neuroscience. Zbl 1518.35161
Dou, Xu’an; Perthame, Benoît; Salort, Delphine; Zhou, Zhennan
3
2023
KAM theorem for reversible mapping of low smoothness with application. Zbl 1525.37067
Li, Jing; Qi, Jiangang; Yuan, Xiaoping
3
2023
Long time existence of smooth solutions to 2D compressible Euler equations of Chaplygin gases with non-zero vorticity. Zbl 1522.35386
Hou, Fei; Yin, Huicheng
3
2023
Global boundedness of a three-species predator-prey model with prey-taxis and competition. Zbl 1519.35009
Li, Songzhi; Wang, Kaiqiang
3
2023
Long-time dynamics of an epidemic model with nonlocal diffusion and free boundaries: spreading speed. Zbl 1514.35055
Wang, Rong; Du, Yihong
3
2023
Non-autonomous stochastic lattice systems with Markovian switching. Zbl 1519.37105
Li, Dingshi; Lin, Yusen; Pu, Zhe
3
2023
Exponential and sub-exponential stability times for the derivative wave equation. Zbl 1519.37092
Sun, Yingte; Li, Siming; Wu, Xiaoqing
3
2023
Existence of solutions to fractional semilinear parabolic equations in Besov-Morrey spaces. Zbl 1525.35239
Zhanpeisov, Erbol
3
2023
Symmetrization for fractional nonlinear elliptic problems. Zbl 1518.35629
Ferone, Vincenzo; Volzone, Bruno
2
2023
A game theoretical approximation for a parabolic/elliptic system with different operators. Zbl 1518.35225
Miranda, Alfredo; Rossi, Julio D.
2
2023
Universal estimates and Liouville theorems for superlinear problems without scale invariance. Zbl 1518.35344
Souplet, Philippe
2
2023
Wellposedness of an elliptic-dispersive coupled system for MEMS. Zbl 1525.35073
Gimperlein, Heiko; He, Runan; Lacey, Andrew A.
2
2023
Solution manifolds of differential systems with discrete stated-dependent delays are almost graphs. Zbl 1525.34116
Krisztin, Tibor; Walther, Hans-Otto
2
2023
Rigidity for some cases of Anosov endomorphisms of torus. Zbl 1522.37045
Micena, Fernando
2
2023
Stability of a class of action functionals depending on convex functions. Zbl 1518.49015
Ambrosio, Luigi; Brena, Camillo
2
2023
The stickiness property for antisymmetric nonlocal minimal graphs. Zbl 1518.35617
Baronowitz, Benjamin; Dipierro, Serena; Valdinoci, Enrico
2
2023
Trace and boundary singularities of positive solutions of a class of quasilinear equations. Zbl 1520.35068
Bidaut-Véron, Marie-Françoise; Véron, Laurent
2
2023
Hautus-Yamamoto criteria for approximate and exact controllability of linear difference delay equations. Zbl 1519.39001
Chitour, Yacine; Fueyo, Sébastien; Mazanti, Guilherme; Sigalotti, Mario
2
2023
Sobolev regularity theory for the non-local elliptic and parabolic equations on \(C^{1,1}\) open sets. Zbl 1519.35354
Choi, Jae-Hwan; Kim, Kyeong-Hun; Ryu, Junhee
2
2023
Slope gap distribution of saddle connections on the \(2n\)-gon. Zbl 1520.37006
Berman, Jonah; McAdam, Taylor; Miller-Murthy, Ananth; Uyanik, Caglar; Wan, Hamilton
2
2023
Topological structures on saturated sets, optimal orbits and equilibrium states. Zbl 1518.37026
Hou, Xiaobo; Tian, Xueting; Zhang, Yiwei
2
2023
Dressing for generalised linear Hamiltonian systems depending rationally on the spectral parameter and some applications. Zbl 1518.37072
Sakhnovich, Alexander
2
2023
Linear non-degeneracy and uniqueness of the bubble solution for the critical fractional Hénon equation in \(\mathbb{R}^N\). Zbl 1514.35451
Alarcón, Salomón; Barrios, Begoña; Quaas, Alexander
2
2023
Vacuum and singularity formation for compressible Euler equations with time-dependent damping. Zbl 1516.35321
Sui, Ying; Wang, Weiqiang; Yu, Huimin
2
2023
On Kato’s smoothing effect for a fractional version of the Zakharov-Kuznetsov equation. Zbl 1514.35423
Mendez, Argenis J.
2
2023
On the Dirichlet problem for Lagrangian phase equation with critical and supercritical phase. Zbl 1514.35188
Lu, Siyuan
2
2023
Global dynamics of evolution systems with asymptotic annihilation. Zbl 1512.35100
Yi, Taishan; Zhao, Xiao-Qiang
2
2023
Propagation dynamics of a nonlocal reaction-diffusion system. Zbl 1512.35076
Han, Bang-Sheng; Kong, De-Yu
2
2023
Time-periodic solution to a three-phase model of viscoelastic fluid flow. Zbl 1515.35209
Du, Chengxin; Liu, Changchun; Mei, Ming
2
2023
Quenched limit theorems for random U(1) extensions of expanding maps. Zbl 1518.37063
Chung, Yong Moo; Nakano, Yushi; Wittsten, Jens
2
2023
Homogeneous spectrum of quasi-periodic Gevrey Schrödinger operators with Diophantine frequency. Zbl 1525.37052
Yang, Yan; Tao, Kai
2
2023
Generalized focal points and local Sturmian theory for linear Hamiltonian systems. Zbl 1530.37089
Šepitka, Peter; Šimon Hilscher, Roman
1
2023
Nondegeneracy and stability in the limit of a one-phase singular perturbation problem. Zbl 1526.35335
Kamburov, Nikola
1
2023
Emergence of large densities in a chemotaxis system with signaling loops, nonlinear signal productions and competitions sources under nonradial symmetry case. Zbl 1526.35087
Xu, Guangyu
1
2023
On some refraction billiards. Zbl 1517.70016
De Blasi, Irene; Terracini, Susanna
1
2023
Uniform tail estimates and \(L^p( {\mathbb{R}}^N) \)-convergence for finite-difference approximations of nonlinear diffusion equations. Zbl 07700760
del Teso, Félix; Endal, Jørgen; Jakobsen, Espen R.
1
2023
Crystalline surface diffusion flow for graph-like curves. Zbl 1518.35458
Giga, Mi-Ho; Giga, Yoshikazu
1
2023
The porous medium equation with large data on Cartan-Hadamard manifolds under general curvature bounds. Zbl 1518.35453
Grillo, Gabriele; Muratori, Matteo; Punzo, Fabio
1
2023
Large time behavior for a nonlocal nonlinear gradient flow. Zbl 1518.35108
Li, Feng; Lindgren, Erik
1
2023
\( L^2 \)-gradient flows of spectral functionals. Zbl 07700771
Mazzoleni, Dario; Savaré, Giuseppe
1
2023
Hölder continuity of solutions for a class of drift-diffusion equations. Zbl 1518.35182
Nguyen, Quoc-Hung; Sire, Yannick; Truong, Le Xuan
1
2023
Remarks on the large data global solutions of \(3D\) RVP system and \(3D\) RVM system. Zbl 1519.35329
Wang, Xuecheng
1
2023
Nonexpansive directions in the Jeandel-Rao Wang shift. Zbl 1531.37016
Labbé, Sébastien; Mann, Casey; McLoud-Mann, Jennifer
1
2023
Aperiodic and linearly repetitive Lorentz gases of finite horizon are not exponentially mixing. Zbl 1525.37028
Treviño, Rodrigo; Zelerowicz, Agnieszka
1
2023
Natural extensions and entropy of \(\alpha \)-continued fraction expansion maps with odd partial quotients. Zbl 1518.28012
Hartono, Yusuf; Kraaikamp, Cor; Langeveld, Niels; Merriman, Claire
1
2023
Spatial dynamics of a nonlocal dispersal Leslie-Gower predator-prey model with some shifting habitats. Zbl 1518.35608
Fang, Qinhe; Cheng, Hongmei; Yuan, Rong
1
2023
Qualitative properties for solutions to conformally invariant fourth order critical systems. Zbl 1519.35100
Andrade, João Henrique; do Ó, João Marcos
1
2023
Asymptotic properties of the Boussinesq equations with Dirichlet boundary conditions. Zbl 1518.35552
Kukavica, Igor; Massatt, David; Ziane, Mohammed
1
2023
Scaling limit of a kinetic inhomogeneous stochastic system in the quadratic potential. Zbl 1515.60179
Cavallazzi, Thomas; Luirard, Emeline
1
2023
Standing waves with prescribed norm for the coupled Hartree-Fock system. Zbl 1519.35117
Luo, Xiao; Rădulescu, Vicenţiu D.; Zhen, Maoding
1
2023
Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations. Zbl 07700753
Bonforte, Matteo; Dolbeault, Jean; Nazaret, Bruno; Simonov, Nikita
1
2023
Reducibility for a linear wave equation with Sobolev smooth fast-driven potential. Zbl 1539.35142
Franzoi, Luca
1
2023
Non-injectivity of infinite interval exchange transformations and generalized Thue-Morse sequences. Zbl 1525.37015
Lopez, Luis-Miguel; Narbel, Philippe
1
2023
Best constants and existence of maximizers for anisotropic weighted Moser-Trudinger inequalities in \(\mathbb{R}^N\). Zbl 1520.35046
Cheng, Tingzhi; Zhang, Tao; Zhou, Chunqin
1
2023
A space-time nonlocal traffic flow model: relaxation representation and local limit. Zbl 1522.35331
Du, Qiang; Huang, Kuang; Scott, James; Shen, Wen
1
2023
A nonlinear elliptic problem involving the gradient on a half space. Zbl 1516.35201
Aghajani, Asadollah; Cowan, Craig; Lui, Shiu Hong
1
2023
On the fourth order semipositone problem in \(\mathbb{R}^N\). Zbl 1514.35149
Biswas, Nirjan; Das, Ujjal; Sarkar, Abhishek
1
2023
Relative topological conditional entropy and a Ledrappier’s type variational principle for it. Zbl 1518.37030
Zhang, Guohua; Zhu, Lili
1
2023
Segregated solutions for some non-linear Schrödinger systems with critical growth. Zbl 1514.35156
Chen, Haixia; Pistoia, Angela; Vaira, Giusi
1
2023
On a defocusing quasilinear Schrödinger equation with singular term. Zbl 1514.35131
Yang, Minbo; Santos, Carlos A.; Ubilla, Pedro; Zhou, Jiazheng
1
2023
Global well-posedness of the free boundary problem for the compressible Euler equations with damping and gravity. Zbl 1516.35317
Lian, Jiali; Wu, Huoxiong
1
2023
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Cited by 26,060 Authors

145 Papageorgiou, Nikolaos S.
142 Llibre, Jaume
124 Li, Wan-Tong
114 Tang, Xianhua
105 Mu, Chunlai
101 Caraballo Garrido, Tomás
100 Rădulescu, Vicenţiu D.
96 Winkler, Michael
91 Wang, Mingxin
90 Miranville, Alain M.
88 Yang, Xiaofeng
86 Valdinoci, Enrico
85 Wang, Zhicheng
80 Wang, Bixiang
78 Yin, Zhaoyang
77 Valls Anglés, Cláudia
76 Wei, Juncheng
71 Tachim Medjo, Theodore
69 Wu, Jiahong
68 Guo, Boling
67 Shen, Wenxian
63 Ha, Seung-Yeal
62 Carrillo de la Plata, José Antonio
60 Coclite, Giuseppe Maria
60 Zhou, Shengfan
59 Kloeden, Peter Eris
59 Li, Yangrong
58 Grasselli, Maurizio
57 Chen, Sitong
57 de la Llave, Rafael
57 Vazquez, Juan Luis
56 Tang, Chun-Lei
55 Zhao, Caidi
53 Barreira, Luis Manuel
53 Chen, Haibo
53 Gao, Hongjun
53 Lee, Manseob
53 Tan, Zhong
52 Valero, José
52 Yang, Minbo
52 Yang, Zhijian
51 Colli, Pierluigi
51 Feng, Zhaosheng
51 Lou, Yuan
50 Ye, Zhuan
49 Ambrosio, Vincenzo
49 Yao, Zhengan
48 Du, Yihong
48 Lasiecka, Irena
48 Zhang, Jian
47 Kukavica, Igor
47 Li, Yeping
47 Morales Rojas, Carlos Arnoldo
47 Oprocha, Piotr
47 O’Regan, Donal
47 Zhang, Binlin
46 Dipierro, Serena
46 Guo, Zhengguang
46 Temam, Roger Meyer
46 Wang, Cheng
46 Zheng, Jiashan
45 Liu, Bin
45 Liu, Meng
45 Nguyen Huy Tuan
45 Ruan, Shigui
45 Zhang, Zujin
45 Zhong, Chengkui
44 Feng, Baowei
44 Rocca, Elisabetta
44 Shi, Junping
44 Xu, Junxiang
44 Yuan, Rong
43 Guo, Shangjiang
43 Liu, Chun
43 Liu, Yue
43 Titi, Edriss Saleh
43 Wang, Renhai
43 Zelik, Sergey V.
43 Zumbrun, Kevin R.
42 Wu, Shiliang
42 Zheng, Pan
41 Jiang, Daqing
41 Varandas, Paulo
41 Wu, Hao
40 Gala, Sadek
40 Peng, Rui
40 Wu, Tsungfang
40 Xiang, Zhaoyin
40 Yang, Xinguang
40 Zhang, Ting
39 Dragičević, Davor
39 Gal, Ciprian Gheorghe Sorin
39 Li, Yong
39 Lin, Zhigui
39 Lizama, Carlos
38 Freitas, Mirelson M.
38 Liu, Qiao
38 Lopes, Artur Oscar
38 Pelinovsky, Dmitry Efimovich
38 Tian, Lixin
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603 Communications on Pure and Applied Analysis
572 Calculus of Variations and Partial Differential Equations
555 Journal of Mathematical Physics
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541 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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99 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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