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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: 5,880 Publications (since 1995)
References Indexed: 2,651 Publications with 73,828 References.
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Latest Issues

44, No. 7 (2024)
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...and 179 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 Wei, Juncheng
15 Bona, Jerry Lloyd
15 Bressan, Alberto
15 Caraballo Garrido, Tomás
15 Grasselli, Maurizio
15 Ni, Wei-Ming
15 Shen, Wenxian
15 Wang, Bixiang
14 Graef, John R.
13 de la Llave, Rafael
13 Guo, Boling
13 Lou, Yuan
13 Oprocha, Piotr
13 Pata, Vittorino
13 Yin, Zhaoyang
12 Díaz Díaz, Jesús Ildefonso
12 Feng, Zhaosheng
12 Kloeden, Peter Eris
12 Mu, Chunlai
12 Ozawa, Tohru
12 Valdinoci, Enrico
11 Kukavica, Igor
11 López-Gómez, Julián
11 Papageorgiou, Nikolaos S.
11 Terracini, Susanna
10 Dancer, Edward Norman
10 Feireisl, Eduard
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 Zhou, Shengfan
9 Chen, Gui-Qiang G.
9 Deng, Yinbin
9 Guo, Yuxia
9 Hilhorst, Danielle
9 Holden, Helge
9 Lopes, Artur Oscar
9 Lu, Kening
9 Minhós, Feliz Manuel
9 Sire, Yannick
9 Tan, Zhong
9 Xu, Junxiang
9 Yamazaki, Noriaki
9 Yotsutani, Shoji
9 Zhong, Chengkui
8 Chen, Xinfu
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 Lei, Yutian
8 Li, Yi
8 Lu, Xin
8 Misiurewicz, Michał
8 Ninomiya, Hirokazu
8 Peng, Shuangjie
8 Poláčik, Peter
8 Rădulescu, Vicenţiu D.
8 Real Anguas, José
8 Rodríguez-Bernal, Aníbal
8 Shi, Junping
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
8 Zelik, Sergey V.
8 Zhao, Yun
7 Artigue, Alfonso
7 Belinsky, Boris P.
7 Cao, Yongluo
...and 6,942 more Authors
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Fields

3,102 Partial differential equations (35-XX)
2,076 Dynamical systems and ergodic theory (37-XX)
939 Ordinary differential equations (34-XX)
637 Fluid mechanics (76-XX)
443 Biology and other natural sciences (92-XX)
353 Operator theory (47-XX)
351 Calculus of variations and optimal control; optimization (49-XX)
296 Numerical analysis (65-XX)
261 Probability theory and stochastic processes (60-XX)
229 Mechanics of particles and systems (70-XX)
209 Global analysis, analysis on manifolds (58-XX)
206 Differential geometry (53-XX)
199 Systems theory; control (93-XX)
181 Mechanics of deformable solids (74-XX)
162 Measure and integration (28-XX)
149 Statistical mechanics, structure of matter (82-XX)
133 Integral equations (45-XX)
101 Difference and functional equations (39-XX)
91 General topology (54-XX)
82 Classical thermodynamics, heat transfer (80-XX)
80 Functional analysis (46-XX)
79 Quantum theory (81-XX)
75 Number theory (11-XX)
70 Real functions (26-XX)
59 Optics, electromagnetic theory (78-XX)
55 Functions of a complex variable (30-XX)
53 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)
42 Topological groups, Lie groups (22-XX)
41 General and overarching topics; collections (00-XX)
36 Convex and discrete geometry (52-XX)
35 Combinatorics (05-XX)
34 Manifolds and cell complexes (57-XX)
31 Potential theory (31-XX)
31 Several complex variables and analytic spaces (32-XX)
30 Computer science (68-XX)
29 Group theory and generalizations (20-XX)
24 Approximations and expansions (41-XX)
20 Information and communication theory, circuits (94-XX)
19 Algebraic geometry (14-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)
6 Integral transforms, operational calculus (44-XX)
5 Associative rings and algebras (16-XX)
5 Nonassociative rings and algebras (17-XX)
5 Geometry (51-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

4,831 Publications have been cited 48,496 times in 34,985 Documents Cited by Year
Numerical approximations of Allen-Cahn and Cahn-Hilliard equations. Zbl 1201.65184
Shen, Jie; Yang, Xiaofeng
522
2010
Variational methods for non-local operators of elliptic type. Zbl 1303.35121
Servadei, Raffaella; Valdinoci, Enrico
422
2013
Global attractors for damped semilinear wave equations. Zbl 1056.37084
Ball, J. M.
306
2004
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.
302
2008
Global well-posedness of the viscous Boussinesq equations. Zbl 1274.76185
Hou, Thomas Y.; Li, Congming
255
2005
Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation. Zbl 1161.92048
Li, Xiaoyue; Mao, Xuerong
233
2009
Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation. Zbl 1149.35307
Escher, Joachim; Lechtenfeld, Olaf; Yin, Zhaoyang
194
2007
Random attractors for non-autonomous stochastic wave equations with multiplicative noise. Zbl 1277.35068
Wang, Bixiang
180
2014
Remarks on regularities for the 3D MHD equations. Zbl 1068.35117
Zhou, Yong
177
2005
The problem of blow-up in nonlinear parabolic equations. Zbl 1010.35057
Galaktionov, Victor A.; Vázquez, Juan L.
172
2002
Random dispersal vs. non-local dispersal. Zbl 1187.35127
Kao, Chiu-Yen; Lou, Yuan; Shen, Wenxian
167
2010
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.
161
2010
Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces. Zbl 1515.35047
Cao, Xinru
156
2015
Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion. Zbl 1276.35105
Tao, Youshan; Winkler, Michael
149
2012
Vacuum states for compressible flow. Zbl 0970.76084
Liu, Tai-Ping; Xin, Zhouping; Yang, Tong
148
1998
A survey of the Schrödinger problem and some of its connections with optimal transport. Zbl 1277.49052
Léonard, Christian
134
2014
On the number of limit cycles in general planar piecewise linear systems. Zbl 1248.34033
Huan, Song-Mei; Yang, Xiao-Song
132
2012
Unconditionally stable schemes for equations of thin film epitaxy. Zbl 1201.65166
Wang, Cheng; Wang, Xiaoming; Wise, Steven M.
131
2010
Positive solution for a nonlinear stationary Schrödinger-Poisson system in \(\mathbb R^3\). Zbl 1133.35427
Wang, Zhengping; Zhou, Huan-Song
131
2007
Existence of smooth solutions to coupled chemotaxis-fluid equations. Zbl 1277.35276
Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon
131
2013
Qualitative properties of solutions for an integral equation. Zbl 1081.45003
Chen, Wenxiong; Li, Congming; Ou, Biao
125
2005
Partial regularity of the dynamic system modeling the flow of liquid crystals. Zbl 0948.35098
Lin, Fang-Hua; Liu, Chun
120
1996
BKM’s criterion and global weak solutions for magnetohydrodynamics with zero viscosity. Zbl 1171.35452
Lei, Zhen; Zhou, Yi
119
2009
Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains. Zbl 1347.35129
Bonforte, Matteo; Sire, Yannick; Vázquez, Juan Luis
119
2015
Global stability for damped Timoshenko systems. Zbl 1047.35023
Muñoz Rivera, J. E.; Racke, R.
119
2003
Stabilization in a chemotaxis model for tumor invasion. Zbl 1322.35059
Yokota, Tomomi; Winkler, Michael; Ito, Akio; Fujie, Kentarou
118
2016
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.
116
2008
Attractors for nonautonomous 2D Navier-Stokes equations with normal external forces. Zbl 1083.35094
Lu, Songsong; Wu, Hongqing; Zhong, Chengkui
107
2005
Dissipative solutions for the Camassa-Holm equation. Zbl 1178.65099
Holden, Helge; Raynaud, Xavier
104
2009
Ground state solutions of Nehari-Pohozaev type for Schrödinger-Poisson problems with general potentials. Zbl 1371.35051
Tang, Xianhua; Chen, Sitong
104
2017
Piecewise linear perturbations of a linear center. Zbl 1312.37037
Buzzi, Claudio; Pessoa, Claudio; Torregrosa, Joan
102
2013
Traveling waves of diffusive predator-prey systems: disease outbreak propagation. Zbl 1241.92069
Wang, Xiang-Sheng; Wang, Haiyan; Wu, Jianhong
101
2012
Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations. Zbl 1332.45009
Leonori, Tommaso; Peral, Ireneo; Primo, Ana; Soria, Fernando
99
2015
Entire solutions of reaction-diffusion equations and an application to discrete diffusive equations. Zbl 1065.35130
Guo, Jong-Shenq; Morita, Yoshihisa
96
2005
Gamma-convergence of gradient flows on Hilbert and metric spaces and applications. Zbl 1239.35015
Serfaty, Sylvia
95
2011
Ergodic optimization. Zbl 1116.37017
Jenkinson, Oliver
91
2006
Uniform exponential attractors for a singularly perturbed damped wave equation. Zbl 1060.35011
Fabrie, Pierre; Galusinski, Cedric; Miranville, Alain; Zelik, Sergey
91
2004
Breakdown of solutions to \(\square u+u_ t=| u| ^{1+\alpha}\). Zbl 0872.35067
Li, Ta-Tsien; Zhou, Yi
90
1995
Asymptotic behaviour of the solutions of fractional integro-differential equations and some time discretizations. Zbl 1163.45306
Cuesta, Eduardo
88
2007
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
88
2014
On the global existence of a cross-diffusion system. Zbl 0960.35049
Lou, Yuan; Ni, Wei-Ming; Wu, Yaping
85
1998
The thermodynamic formalism for sub-additive potentials. Zbl 1140.37319
Cao, Yong-Luo; Feng, De-Jun; Huang, Wen
85
2008
Reaction-diffusion-advection models for the effects and evolution of dispersal. Zbl 1277.35002
Cosner, Chris
85
2014
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
85
2016
Existence and qualitative properties of multidimensional conical bistable fronts. Zbl 1097.35078
Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel
84
2005
Boundedness in a parabolic-parabolic quasilinear chemotaxis system with logistic source. Zbl 1277.35215
Wang, Liangchen; Li, Yuhuan; Mu, Chunlai
84
2014
Regularity results for weak solutions of the 3D MHD equations. Zbl 1055.76062
Wu, Jiahong
83
2004
An integral system and the Lane-Emden conjecture. Zbl 1176.35067
Chen, Wenxiong; Li, Congming
82
2009
Stability of variational eigenvalues for the fractional \(p\)-Laplacian. Zbl 1336.35270
Brasco, Lorenzo; Parini, Enea; Squassina, Marco
82
2016
Analysis of a linear fluid-structure interaction problem. Zbl 1039.35076
Du, Qiang; Gunzburger, M. D.; Hou, L. S.; Lee, J.
82
2003
Existence of traveling wavefronts of delayed reaction diffusion systems without monotonicity. Zbl 1093.34030
Huang, Jianhua; Zou, Xingfu
81
2003
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
77
2003
Wellposedness for a parabolic-elliptic system. Zbl 1082.35056
Coclite, Giuseppe Maria; Holden, Helge; Karlsen, Kenneth Hvistendahl
74
2005
Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption. Zbl 1375.35575
Lankeit, Johannes; Wang, Yulan
74
2017
The diffusive logistic model with a free boundary and seasonal succession. Zbl 1273.35327
Peng, Rui; Zhao, Xiao-Qiang
74
2013
Reaction-diffusion equations for population dynamics with forced speed. I: The case of the whole space. Zbl 1173.35542
Berestycki, Henri; Rossi, Luca
73
2008
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.
73
2011
On a limiting system in the Lotka-Volterra competition with cross-diffusion. Zbl 1174.35360
Lou, Yuan; Ni, Wei-Ming; Yotsutani, Shoji
72
2004
Schrödinger equations with a spatially decaying nonlinearity: existence and stability of standing waves. Zbl 1154.35082
Genoud, François; Stuart, Charles A.
70
2008
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
70
2004
A spectral characterization of exponential stability for linear time-invariant systems on time scales. Zbl 1054.34086
Pötzsche, Christian; Siegmund, Stefan; Wirth, Fabian
69
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.
68
2017
Ground state solutions for Hamiltonian elliptic system with inverse square potential. Zbl 1370.35111
Zhang, Jian; Zhang, Wen; Tang, Xianhua
68
2017
On energetic variational approaches in modeling the nematic liquid crystal flows. Zbl 1156.76007
Sun, Huan; Liu, Chun
67
2009
Sharp well-posedness results for the BBM equation. Zbl 1170.35303
Bona, Jerry; Tzvetkov, Nikolay
67
2009
The global attractor for the solutions to the 3D viscous primitive equations. Zbl 1131.35065
Ju, Ning
66
2007
Qualitative analysis for a Lotka-Volterra competition system in advective homogeneous environment. Zbl 1322.35072
Zhou, Peng; Xiao, Dongmei; Lou, Yuan
66
2016
A partially hinged rectangular plate as a model for suspension bridges. Zbl 1336.35012
Gazzola, Filippo; Ferrero, Alberto
65
2015
Well-posedness, blow up, and global existence for an integrable shallow water equation. Zbl 1061.35123
Yin, Zhaoyang
64
2004
Longtime behavior for a model of homogeneous incompressible two-phase flows. Zbl 1194.35056
Gal, Ciprian G.; Grasselli, Maurizio
64
2010
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
Random dynamics of fractional nonclassical diffusion equations driven by colored noise. Zbl 1414.37032
Wang, Renhai; Li, Yangrong; Wang, Bixiang
63
2019
Invasion entire solutions in a competition system with nonlocal dispersal. Zbl 1319.35088
Li, Wan-Tong; Zhang, Li; Zhang, Guo-Bao
63
2015
Unique continuation properties for relativistic Schrödinger operators with a singular potential. Zbl 1336.35356
Fall, Mouhamed Moustapha; Felli, Veronica
62
2015
The Cauchy problem for the 3D Zakharov-Kuznetsov equation. Zbl 1170.35086
Linares, F.; Saut, Jean-Claude
62
2009
Cauchy problem for the Ostrovsky equation. Zbl 1059.35035
Varlamov, V.; Liu, Yue
62
2004
Regularity of 3D axisymmetric Navier-Stokes equations. Zbl 1364.35114
Zhang, Ting; Fang, Daoyuan; Chen, Hui
62
2017
Uniqueness of weak solutions for the semilinear wave equations with supercritical boundary/interior sources and damping. Zbl 1156.35432
Bociu, Lorena; Lasiecka, Irena
61
2008
Global existence and boundedness for chemotaxis-Navier-Stokes systems with position-dependent sensitivity in 2D bounded domains. Zbl 1308.35214
Ishida, Sachiko
61
2015
Improved results for Klein-Gordon-Maxwell systems with general nonlinearity. Zbl 1398.35026
Chen, Sitong; Tang, Xianhua
60
2018
Gap solitons in periodic discrete nonlinear Schrödinger equations. II: A generalized Nehari manifold approach. Zbl 1220.35164
Pankov, A.
60
2007
Global stability of traveling curved fronts in the Allen-Cahn equations. Zbl 1118.35012
Ninomiya, Hirokazu; Taniguchi, Masaharu
60
2006
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
59
2009
Large \(s\)-harmonic functions and boundary blow-up solutions for the fractional Laplacian. Zbl 1333.31013
Abatangelo, Nicola
59
2015
Stability and random attractors for a reaction-diffusion equation with multiplicative noise. Zbl 1011.37031
Caraballo, Tomás; Langa, José A.; Robinson, James C.
59
2000
The non-isothermal Allen-Cahn equation with dynamic boundary conditions. Zbl 1160.35353
Gal, Ciprian G.; Grasselli, Maurizio
59
2008
Attractors for semilinear strongly damped wave equations on \(\mathbb{R}^3\). Zbl 1200.35032
Belleri, Veronica; Pata, Vittorino
59
2001
Sufficient conditions for the regularity to the 3D Navier-Stokes equations. Zbl 1186.35136
Cao, Chongsheng
59
2010
A convergent numerical scheme for the Camassa-Holm equation based on multipeakons. Zbl 1111.35061
Holden, Helge; Raynaud, Xavier
59
2006
On a Cahn-Hilliard type phase field system related to tumor growth. Zbl 1342.35407
Colli, Pierluigi; Gilardi, Gianni; Hilhorst, Danielle
58
2015
Asymptotic properties and classification of bistable fronts with Lipschitz level sets. Zbl 1194.35151
Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel
58
2006
Critical exponent for the semilinear wave equation with time-dependent damping. Zbl 1255.35058
Lin, Jiayun; Nishihara, Kenji; Zhai, Jian
58
2012
A Harnack inequality for fractional Laplace equations with lower order terms. Zbl 1269.26005
Tan, Jinggang; Xiong, Jingang
57
2011
Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1169.35315
Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
56
2009
Eigenvalues for a class of homogeneous cone maps arising from max-plus operators. Zbl 1007.47031
Mallet-Paret, John; Nussbaum, Roger D.
56
2002
Uniqueness of conservative solutions to the Camassa-Holm equation via characteristics. Zbl 1304.35017
Bressan, Alberto; Chen, Geng; Zhang, Qingtian
56
2015
Modeling solutions with jumps for rate-independent systems on metric spaces. Zbl 1170.49036
Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
55
2009
An overview on linear and nonlinear Dirac equations. Zbl 1162.49307
Esteban, Maria J.; Séré, Eric
55
2002
Global dynamics in a fully parabolic chemotaxis system with logistic source. Zbl 1352.35067
Mu, Chunlai; Lin, Ke
55
2016
Energy estimates and 1-D symmetry for nonlinear equations involving the half-Laplacian. Zbl 1193.35242
Cabré, Xavier; Cinti, Eleonora
54
2010
Normalized ground states for Sobolev critical nonlinear Schrödinger equation in the \(L^2\)-supercritical case. Zbl 1529.35164
Li, Quanqing; Zou, Wenming
3
2024
The connection between the dynamical properties of 3D systems and the image of the energy-Casimir mapping. Zbl 07787720
Xu, Mingxing; Shi, Shaoyun; Huang, Kaiyin
2
2024
Hausdorff dimension analysis of sets with the product of consecutive vs single partial quotients in continued fractions. Zbl 07770127
Hussain, Mumtaz; Li, Bixuan; Shulga, Nikita
1
2024
On a Hamiltonian regularization of scalar conservation laws. Zbl 1531.35175
Guelmame, Billel
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
12
2023
The Cauchy-Dirichlet problem for singular nonlocal diffusions on bounded domains. Zbl 1518.35440
Bonforte, Matteo; Ibarrondo, Peio; Ispizua, Mikel
5
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.
4
2023
Normalized solutions for Kirchhoff type equations with combined nonlinearities: the Sobolev critical case. Zbl 1519.35148
Feng, Xiaojing; Liu, Haidong; Zhang, Zhitao
3
2023
Ergodic average of typical orbits and typical functions. Zbl 1523.37011
Hou, Xiaobo; Lin, Wanshan; Tian, Xueting
3
2023
Multispike solutions for a slightly subcritical elliptic problem with non-power nonlinearity. Zbl 1514.35217
Ben Ayed, Mohamed; Fourti, Habib; Ghoudi, Rabeh
3
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
3
2023
KAM theorem for reversible mapping of low smoothness with application. Zbl 1525.37067
Li, Jing; Qi, Jiangang; Yuan, Xiaoping
3
2023
Rigidity for some cases of Anosov endomorphisms of torus. Zbl 1522.37045
Micena, Fernando
2
2023
On the Dirichlet problem for Lagrangian phase equation with critical and supercritical phase. Zbl 1514.35188
Lu, Siyuan
2
2023
Discrete geometric singular perturbation theory. Zbl 07688141
Jelbart, Samuel; Kuehn, Christian
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
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
2
2023
Non-autonomous stochastic lattice systems with Markovian switching. Zbl 1519.37105
Li, Dingshi; Lin, Yusen; Pu, Zhe
2
2023
Exponential and sub-exponential stability times for the derivative wave equation. Zbl 1519.37092
Sun, Yingte; Li, Siming; Wu, Xiaoqing
2
2023
Solution manifolds of differential systems with discrete stated-dependent delays are almost graphs. Zbl 1525.34116
Krisztin, Tibor; Walther, Hans-Otto
1
2023
Scattering of the focusing energy-critical NLS with inverse square potential. Zbl 1514.35418
Yang, Kai; Zhang, Xiaoyi
1
2023
Global dynamics of evolution systems with asymptotic annihilation. Zbl 1512.35100
Yi, Taishan; Zhao, Xiao-Qiang
1
2023
Propagation dynamics of a nonlocal reaction-diffusion system. Zbl 1512.35076
Han, Bang-Sheng; Kong, De-Yu
1
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
1
2023
Long-time dynamics of an epidemic model with nonlocal diffusion and free boundaries: spreading speed. Zbl 1514.35055
Wang, Rong; Du, Yihong
1
2023
Slow entropy for some Anosov-Katok diffeomorphisms. Zbl 1518.37038
Banerjee, Shilpak; Kunde, Philipp; Wei, Daren
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
Poisson stable motions of monotone and strongly sub-linear non-autonomous dynamical systems. Zbl 1526.37024
Cheban, David
1
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
1
2023
Long-time behavior of solutions to the \(M_1\) model with boundary effect. Zbl 1515.85025
Zhang, Nangao; Zhu, Changjiang
1
2023
Fredholm theory of families of discrete dynamical systems and its applications to bifurcation theory. Zbl 1519.39011
Skiba, Robert; Waterstraat, Nils
1
2023
Vacuum and singularity formation for compressible Euler equations with time-dependent damping. Zbl 1516.35321
Sui, Ying; Wang, Weiqiang; Yu, Huimin
1
2023
Dynamical hypothesis tests and decision theory for Gibbs distributions. Zbl 1519.37006
Denker, Manfred; Lopes, Artur O.; Lopes, Sílvia R. C.
1
2023
Bistable pulsating wave of a competition model in rapidly varying media and its homogenization limit. Zbl 1514.35084
Ding, Weiwei; Huang, Rui; Yu, Xiao
1
2023
Time-periodic solution to a three-phase model of viscoelastic fluid flow. Zbl 1515.35209
Du, Chengxin; Liu, Changchun; Mei, Ming
1
2023
Quenched limit theorems for random U(1) extensions of expanding maps. Zbl 1518.37063
Chung, Yong Moo; Nakano, Yushi; Wittsten, Jens
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
Relative topological conditional entropy and a Ledrappier’s type variational principle for it. Zbl 1518.37030
Zhang, Guohua; Zhu, Lili
1
2023
A 3D-Schrödinger operator under magnetic steps with semiclassical applications. Zbl 1514.35123
Assaad, Wafaa; Giacomelli, Emanuela L.
1
2023
Stability of a class of action functionals depending on convex functions. Zbl 1518.49015
Ambrosio, Luigi; Brena, Camillo
1
2023
The stickiness property for antisymmetric nonlocal minimal graphs. Zbl 1518.35617
Baronowitz, Benjamin; Dipierro, Serena; Valdinoci, Enrico
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
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
1
2023
Symmetrization for fractional nonlinear elliptic problems. Zbl 1518.35629
Ferone, Vincenzo; Volzone, Bruno
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
Emergence of biological transportation networks as a self-regulated process. Zbl 1518.35216
Haskovec, Jan; Markowich, Peter; Portaro, Simone
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
A game theoretical approximation for a parabolic/elliptic system with different operators. Zbl 1518.35225
Miranda, Alfredo; Rossi, Julio D.
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
Examples of finite time blow up in mass dissipative reaction-diffusion systems with superquadratic growth. Zbl 1518.35152
Pierre, Michel; Schmitt, Didier
1
2023
Universal estimates and Liouville theorems for superlinear problems without scale invariance. Zbl 1518.35344
Souplet, Philippe
1
2023
Existence of solutions to fractional semilinear parabolic equations in Besov-Morrey spaces. Zbl 1525.35239
Zhanpeisov, Erbol
1
2023
Qualitative properties of singular solutions to the fractional Yamabe problem. Zbl 1525.35128
Cruz-Blázquez, Sergio; DelaTorre, Azahara; Ruiz, David
1
2023
Global boundedness of a three-species predator-prey model with prey-taxis and competition. Zbl 1519.35009
Li, Songzhi; Wang, Kaiqiang
1
2023
Remarks on the large data global solutions of \(3D\) RVP system and \(3D\) RVM system. Zbl 1519.35329
Wang, Xuecheng
1
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
1
2023
Wellposedness of an elliptic-dispersive coupled system for MEMS. Zbl 1525.35073
Gimperlein, Heiko; He, Runan; Lacey, Andrew A.
1
2023
Aperiodic and linearly repetitive Lorentz gases of finite horizon are not exponentially mixing. Zbl 1525.37028
Treviño, Rodrigo; Zelerowicz, Agnieszka
1
2023
Two species nonlocal diffusion systems with free boundaries. Zbl 1483.35347
Du, Yihong; Wang, Mingxin; Zhao, Meng
25
2022
Combined effects of singular and exponential nonlinearities in fractional Kirchhoff problems. Zbl 1483.35094
Mukherjee, Tuhina; Pucci, Patrizia; Xiang, Mingqi
14
2022
Global well-posedness for fractional Sobolev-Galpern type equations. Zbl 1489.35303
Nguyen, Huy Tuan; Tuan, Nguyen Anh; Yang, Chao
12
2022
Global existence and convergence to steady states for a predator-prey model with both predator- and prey-taxis. Zbl 1482.35043
Ren, Guoqiang; Liu, Bin
10
2022
One component regularity criteria for the axially symmetric MHD-Boussinesq system. Zbl 1490.35337
Li, Zijin; Pan, Xinghong
10
2022
Fujita type results for quasilinear parabolic inequalities with nonlocal terms. Zbl 1484.35420
Filippucci, Roberta; Ghergu, Marius
10
2022
The Brinkman-Fourier system with ideal gas equilibrium. Zbl 1502.35120
Liu, Chun; Sulzbach, Jan-Eric
8
2022
Cucker-Smale model with time delay. Zbl 1489.92212
Rodríguez Cartabia, Mauro
8
2022
Dynamically learning the parameters of a chaotic system using partial observations. Zbl 1502.37092
Carlson, Elizabeth; Hudson, Joshua; Larios, Adam; Martinez, Vincent R.; Ng, Eunice; Whitehead, Jared P.
8
2022
Stabilization of periodic sweeping processes and asymptotic average velocity for soft locomotors with dry friction. Zbl 1513.70074
Colombo, Giovanni; Gidoni, Paolo; Vilches, Emilio
7
2022
On the improved interior regularity of a boundary value problem modelling the displacement of a linearly elastic elliptic membrane shell subject to an obstacle. Zbl 1481.74516
Piersanti, Paolo
6
2022
Polynomial ergodic averages for certain countable ring actions. Zbl 1503.37013
Best, Andrew; Moragues, Andreu Ferré
6
2022
Long-time asymptotics for the modified complex short pulse equation. Zbl 1494.35032
Chen, Mingming; Geng, Xianguo; Wang, Kedong
6
2022
Shadowing for families of endomorphisms of generalized group shifts. Zbl 1492.37023
Phung, Xuan Kien
5
2022
Eternal solutions for a reaction-diffusion equation with weighted reaction. Zbl 1483.35065
Iagar, Razvan Gabriel; Sánchez, Ariel
5
2022
The nonlocal-interaction equation near attracting manifolds. Zbl 1482.35007
Patacchini, Francesco S.; Slepčev, Dejan
5
2022
Lower bounds for Orlicz eigenvalues. Zbl 1484.35226
Salort, Ariel
5
2022
Hölder regularity for mixed local and nonlocal \(p\)-Laplace parabolic equations. Zbl 1502.35034
Shang, Bin; Zhang, Chao
5
2022
Ground states for a system of nonlinear Schrödinger equations with singular potentials. Zbl 1506.37091
Chen, Peng; Tang, Xianhua
5
2022
Vortex collapses for the Euler and quasi-geostrophic models. Zbl 1491.76018
Godard-Cadillac, Ludovic
5
2022
On information gain, Kullback-Leibler divergence, entropy production and the involution kernel. Zbl 07535670
Lopes, Artur O.; Mengue, Jairo K.
5
2022
Global weak solutions to a chemotaxis-Navier-Stokes system in \(\mathbb{R}^3 \). Zbl 1498.92032
Kang, Kyungkeun; Lee, Jihoon; Winkler, Michael
4
2022
Lifting the regionally proximal relation and characterizations of distal extensions. Zbl 1496.37007
Cao, Kai; Dai, Xiongping
4
2022
Design of the monodomain model by artificial neural networks. Zbl 07621930
Court, Sébastien; Kunisch, Karl
4
2022
Random attractors for dissipative systems with rough noises. Zbl 1496.37051
Duc, Luu Hoang
4
2022
A regularization-free approach to the Cahn-Hilliard equation with logarithmic potentials. Zbl 1490.35331
Li, Dong
4
2022
The sandpile identity element on an ellipse. Zbl 1492.35330
Melchionna, Andrew
4
2022
Global well-posedness of 2D incompressible magnetohydrodynamic equations with horizontal dissipation. Zbl 1504.35381
Suo, Xiaoxiao; Jiu, Quansen
4
2022
On a nonhomogeneous Kirchhoff type elliptic system with the singular Trudinger-Moser growth. Zbl 1498.35248
Deng, Shengbing; Tian, Xingliang
3
2022
Asymptotics of the Poisson kernel and Green’s functions of the fractional conformal Laplacian. Zbl 1506.53051
Mayer, Martin; Ndiaye, Cheikh Birahim
3
2022
Spectral theory of spin substitutions. Zbl 1505.37025
Priebe Frank, Natalie; Mañibo, Neil
3
2022
A log-exp elliptic equation in the plane. Zbl 1481.35230
Figueiredo, Giovany; Montenegro, Marcelo; Stapenhorst, Matheus F.
3
2022
Cohomology groups, continuous full groups and continuous orbit equivalence of topological Markov shifts. Zbl 1495.37010
Matsumoto, Kengo
3
2022
Local well-posedness for the Zakharov system in dimension \(d \leqslant 3\). Zbl 1483.35225
Sanwal, Akansha
3
2022
Parameterized splitting theorems and bifurcations for potential operators. I: Abstract theory. Zbl 1528.58007
Lu, Guangcun
3
2022
Optimal boundary regularity for some singular Monge-Ampère equations on bounded convex domains. Zbl 1490.35193
Le, Nam Q.
3
2022
”Large” strange attractors in the unfolding of a heteroclinic attractor. Zbl 1497.34065
Rodrigues, Alexandre
3
2022
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Cited by 24,565 Authors

141 Papageorgiou, Nikolaos S.
138 Llibre, Jaume
119 Li, Wan-Tong
105 Tang, Xianhua
104 Mu, Chunlai
98 Caraballo Garrido, Tomás
95 Rădulescu, Vicenţiu D.
91 Winkler, Michael
89 Wang, Mingxin
85 Miranville, Alain M.
85 Yang, Xiaofeng
83 Valdinoci, Enrico
79 Wang, Bixiang
76 Valls Anglés, Cláudia
74 Yin, Zhaoyang
71 Wei, Juncheng
65 Shen, Wenxian
64 Wu, Jiahong
61 Ha, Seung-Yeal
60 Wang, Zhi Cheng
59 Zhou, Shengfan
58 Coclite, Giuseppe Maria
58 Guo, Boling
57 Carrillo de la Plata, José Antonio
56 de la Llave, Rafael
56 Li, Yangrong
56 Vazquez, Juan Luis
54 Grasselli, Maurizio
54 Kloeden, Peter Eris
53 Barreira, Luis Manuel
53 Chen, Sitong
53 Tang, Chun-Lei
52 Zhao, Caidi
51 Tan, Zhong
50 Gao, Hongjun
50 Lee, Manseob
50 Lou, Yuan
50 Valero, José
49 Chen, Haibo
49 Feng, Zhaosheng
49 Yang, Zhijian
48 Colli, Pierluigi
48 Yang, Minbo
46 Li, Yeping
46 Temam, Roger Meyer
46 Zhang, Jian
45 Dipierro, Serena
45 Dragičević, Davor
45 Liu, Meng
45 Shi, Junping
45 Yao, Zhengan
45 Zhang, Zujin
44 Lasiecka, Irena
44 Oprocha, Piotr
44 Wang, Cheng
44 Zhang, Binlin
44 Zheng, Jiashan
43 Ambrosio, Vincenzo
43 Guo, Zhengguang
43 Liu, Yue
43 Morales Rojas, Carlos Arnoldo
43 O’Regan, Donal
43 Wang, Renhai
43 Zhong, Chengkui
43 Zumbrun, Kevin R.
42 Du, Yihong
42 Liu, Bin
42 Rocca, Elisabetta
42 Ruan, Shigui
42 Xu, Junxiang
41 Liu, Chun
41 Yuan, Rong
41 Zelik, Sergey V.
41 Zheng, Pan
40 Jiang, Daqing
40 Kukavica, Igor
40 Nguyen Huy Tuan
40 Titi, Edriss Saleh
40 Wu, Shiliang
39 Gala, Sadek
39 Guo, Shangjiang
39 Peng, Rui
39 Varandas, Paulo
39 Xiang, Zhaoyin
38 Gal, Ciprian Gheorghe Sorin
38 Shen, Jie
38 Wu, Hao
38 Wu, Tsungfang
37 Alves, Claudianor Oliveira
37 Liu, Qiao
37 Lopes, Artur Oscar
37 Zhang, Ting
37 Zhao, Jia
36 Bressan, Alberto
36 Feng, Baowei
36 Freitas, Mirelson M.
36 Tian, Lixin
36 Wang, Ke
36 Zhao, Xiao-Qiang
35 Lin, Zhigui
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2,273 Journal of Differential Equations
1,705 Journal of Mathematical Analysis and Applications
1,186 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1,160 Discrete and Continuous Dynamical Systems
722 Discrete and Continuous Dynamical Systems. Series B
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581 Communications on Pure and Applied Analysis
542 Calculus of Variations and Partial Differential Equations
519 Journal of Mathematical Physics
500 ZAMP. Zeitschrift für angewandte Mathematik und Physik
468 Nonlinearity
407 Journal of Dynamics and Differential Equations
395 Mathematical Methods in the Applied Sciences
385 Ergodic Theory and Dynamical Systems
385 SIAM Journal on Mathematical Analysis
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228 NoDEA. Nonlinear Differential Equations and Applications
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198 Advances in Difference Equations
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166 Acta Applicandae Mathematicae
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163 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
157 Journal of Difference Equations and Applications
155 Communications in Contemporary Mathematics
146 Annali di Matematica Pura ed Applicata. Serie Quarta
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140 Monatshefte für Mathematik
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96 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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84 Chinese Annals of Mathematics. Series B
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81 Regular and Chaotic Dynamics
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