## 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/journal/1078-0947http://aimsciences.org/journals/home.jsp?journalID=1http://aimsciences.org/conferences/proceeding.html Comments: Indexed cover-to-cover; The electronic version has the addition: Series A.
 Documents Indexed: 5,506 Publications (since 1995) References Indexed: 2,277 Publications with 62,498 References.
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### Authors

 20 Llibre, Jaume 19 Temam, Roger Meyer 17 Li, Congming 17 Miranville, Alain M. 17 Valls Anglés, Cláudia 16 Barreira, Luis Manuel 16 Chen, Wenxiong 15 Bona, Jerry Lloyd 15 Bressan, Alberto 15 Ni, Wei-Ming 15 Wang, Bixiang 14 Caraballo Garrido, Tomás 14 Graef, John R. 14 Grasselli, Maurizio 14 Shen, Wenxian 14 Wei, Juncheng 13 de la Llave, Rafael 13 Guo, Boling 13 Lou, Yuan 13 Oprocha, Piotr 13 Pata, Vittorino 13 Yin, Zhaoyang 12 Kloeden, Peter Eris 12 Mu, Chunlai 12 Ozawa, Tohru 11 Diaz Diaz, Jesus Ildefonso 11 Feng, Zhaosheng 11 López-Gómez, Julián 11 Papageorgiou, Nikolaos S. 10 Dancer, Edward Norman 10 Feireisl, Eduard 10 Gasull, Armengol 10 Lin, Fang Hua 10 Ôtani, Mitsuharu 10 Terracini, Susanna 10 Urbański, Mariusz 10 Valdinoci, Enrico 10 Wang, Shouhong 10 Zhou, Shengfan 9 Giga, Yoshikazu 9 Hilhorst, Danielle 9 Kukavica, Igor 9 Lasiecka, Irena 9 Li, Wan-Tong 9 Lu, Kening 9 Minhós, Feliz Manuel 9 Tan, Zhong 9 Yamazaki, Noriaki 9 Yotsutani, Shoji 9 Zhong, Chengkui 8 Chen, Gui-Qiang G. 8 Chen, Xinfu 8 Deng, Yinbin 8 Dong, Hongjie 8 Dumortier, Freddy 8 Feng, Wei 8 Galatolo, Stefano 8 Gazzola, Filippo 8 Guo, Yuxia 8 Holden, Helge 8 Jiang, Yunping 8 Kong, Lingju 8 Kunisch, Karl 8 Lei, Yutian 8 Li, Yi 8 Lu, Xin 8 Misiurewicz, Michał 8 Morales, Carlos Arnoldo 8 Ninomiya, Hirokazu 8 Poláčik, Peter 8 Real Anguas, José 8 Rodríguez-Bernal, Aníbal 8 Shi, Junping 8 Taniguchi, Masaharu 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 Zhao, Yun 7 Artigue, Alfonso 7 Belinsky, Boris P. 7 Cao, Yongluo 7 Chepyzhov, Vladimir V. 7 Chu, Jifeng 7 Coclite, Giuseppe Maria 7 Figalli, Alessio 7 Fonda, Alessandro 7 Gan, Shaobo 7 Ha, Seung-Yeal 7 Han, Maoan 7 Hou, Thomas Yizhao 7 Ishige, Kazuhiro 7 Kenmochi, Nobuyuki 7 Khailov, Evgenii N. 7 Koch, Hans-Friedrich 7 Kuto, Kousuke ...and 6,467 more Authors
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### Fields

 2,875 Partial differential equations (35-XX) 1,947 Dynamical systems and ergodic theory (37-XX) 917 Ordinary differential equations (34-XX) 601 Fluid mechanics (76-XX) 416 Biology and other natural sciences (92-XX) 342 Calculus of variations and optimal control; optimization (49-XX) 336 Operator theory (47-XX) 288 Numerical analysis (65-XX) 242 Probability theory and stochastic processes (60-XX) 215 Mechanics of particles and systems (70-XX) 194 Systems theory; control (93-XX) 193 Global analysis, analysis on manifolds (58-XX) 191 Differential geometry (53-XX) 177 Mechanics of deformable solids (74-XX) 145 Measure and integration (28-XX) 141 Statistical mechanics, structure of matter (82-XX) 127 Integral equations (45-XX) 90 General topology (54-XX) 89 Difference and functional equations (39-XX) 81 Classical thermodynamics, heat transfer (80-XX) 74 Functional analysis (46-XX) 73 Quantum theory (81-XX) 66 Number theory (11-XX) 60 Real functions (26-XX) 56 Optics, electromagnetic theory (78-XX) 53 Geophysics (86-XX) 51 Functions of a complex variable (30-XX) 48 Operations research, mathematical programming (90-XX) 44 Harmonic analysis on Euclidean spaces (42-XX) 43 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 39 Topological groups, Lie groups (22-XX) 38 General and overarching topics; collections (00-XX) 34 Manifolds and cell complexes (57-XX) 31 Convex and discrete geometry (52-XX) 30 Several complex variables and analytic spaces (32-XX) 29 Potential theory (31-XX) 26 Combinatorics (05-XX) 26 Group theory and generalizations (20-XX) 26 Computer science (68-XX) 22 Approximations and expansions (41-XX) 18 Information and communication theory, circuits (94-XX) 17 Algebraic geometry (14-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 17 Statistics (62-XX) 15 History and biography (01-XX) 13 Special functions (33-XX) 13 Abstract harmonic analysis (43-XX) 13 Algebraic topology (55-XX) 12 Relativity and gravitational theory (83-XX) 10 Astronomy and astrophysics (85-XX) 9 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 Nonassociative rings and algebras (17-XX) 5 Geometry (51-XX) 4 Commutative algebra (13-XX) 4 Associative rings and algebras (16-XX) 2 Sequences, series, summability (40-XX) 1 General algebraic systems (08-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX)

### Citations contained in zbMATH Open

4,311 Publications have been cited 36,024 times in 26,405 Documents Cited by Year
Variational methods for non-local operators of elliptic type. Zbl 1303.35121
2013
Numerical approximations of Allen-Cahn and Cahn-Hilliard equations. Zbl 1201.65184
Shen, Jie; Yang, Xiaofeng
2010
Global attractors for damped semilinear wave equations. Zbl 1056.37084
Ball, J. M.
2004
Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation. Zbl 1161.92048
Li, Xiaoyue; Mao, Xuerong
2009
Global well-posedness of the viscous Boussinesq equations. Zbl 1274.76185
Hou, Thomas Y.; Li, Congming
2005
Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation. Zbl 1149.35307
Escher, Joachim; Lechtenfeld, Olaf; Yin, Zhaoyang
2007
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.
2008
Remarks on regularities for the 3D MHD equations. Zbl 1068.35117
Zhou, Yong
2005
The problem of blow-up in nonlinear parabolic equations. Zbl 1010.35057
Galaktionov, Victor A.; Vázquez, Juan L.
2002
Random attractors for non-autonomous stochastic wave equations with multiplicative noise. Zbl 1277.35068
Wang, Bixiang
2014
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.
2010
Vacuum states for compressible flow. Zbl 0970.76084
Liu, Tai-Ping; Xin, Zhouping; Yang, Tong
1998
Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion. Zbl 1276.35105
Tao, Youshan; Winkler, Michael
2012
Random dispersal vs. non-local dispersal. Zbl 1187.35127
Kao, Chiu-Yen; Lou, Yuan; Shen, Wenxian
2010
Positive solution for a nonlinear stationary Schrödinger-Poisson system in $$\mathbb R^3$$. Zbl 1133.35427
Wang, Zhengping; Zhou, Huan-Song
2007
Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces. Zbl 06384058
Cao, Xinru
2015
Qualitative properties of solutions for an integral equation. Zbl 1081.45003
Chen, Wenxiong; Li, Congming; Ou, Biao
2005
BKM’s criterion and global weak solutions for magnetohydrodynamics with zero viscosity. Zbl 1171.35452
Lei, Zhen; Zhou, Yi
2009
Unconditionally stable schemes for equations of thin film epitaxy. Zbl 1201.65166
Wang, Cheng; Wang, Xiaoming; Wise, Steven M.
2010
Global stability for damped Timoshenko systems. Zbl 1047.35023
Muñoz Rivera, J. E.; Racke, R.
2003
Existence of smooth solutions to coupled chemotaxis-fluid equations. Zbl 1277.35276
Chae, Myeongju; Kang, Kyungkeun; Lee, Jihoon
2013
On the number of limit cycles in general planar piecewise linear systems. Zbl 1248.34033
Huan, Song-Mei; Yang, Xiao-Song
2012
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.
2008
Attractors for nonautonomous 2D Navier-Stokes equations with normal external forces. Zbl 1083.35094
Lu, Songsong; Wu, Hongqing; Zhong, Chengkui
2005
Dissipative solutions for the Camassa-Holm equation. Zbl 1178.65099
Holden, Helge; Raynaud, Xavier
2009
Uniform exponential attractors for a singularly perturbed damped wave equation. Zbl 1060.35011
Fabrie, Pierre; Galusinski, Cedric; Miranville, Alain; Zelik, Sergey
2004
Entire solutions of reaction-diffusion equations and an application to discrete diffusive equations. Zbl 1065.35130
Guo, Jong-Shenq; Morita, Yoshihisa
2005
Traveling waves of diffusive predator-prey systems: disease outbreak propagation. Zbl 1241.92069
Wang, Xiang-Sheng; Wang, Haiyan; Wu, Jianhong
2012
Ground state solutions of Nehari-Pohozaev type for Schrödinger-Poisson problems with general potentials. Zbl 1371.35051
Tang, Xianhua; Chen, Sitong
2017
On the global existence of a cross-diffusion system. Zbl 0960.35049
Lou, Yuan; Ni, Wei-Ming; Wu, Yaping
1998
Stabilization in a chemotaxis model for tumor invasion. Zbl 1322.35059
Yokota, Tomomi; Winkler, Michael; Ito, Akio; Fujie, Kentarou
2016
A survey of the Schrödinger problem and some of its connections with optimal transport. Zbl 1277.49052
Léonard, Christian
2014
Asymptotic behaviour of the solutions of fractional integro-differential equations and some time discretizations. Zbl 1163.45306
Cuesta, Eduardo
2007
Partial regularity of the dynamic system modeling the flow of liquid crystals. Zbl 0948.35098
Lin, Fang-Hua; Liu, Chun
1996
Existence and qualitative properties of multidimensional conical bistable fronts. Zbl 1097.35078
Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel
2005
Existence of traveling wavefronts of delayed reaction diffusion systems without monotonicity. Zbl 1093.34030
Huang, Jianhua; Zou, Xingfu
2003
Gamma-convergence of gradient flows on Hilbert and metric spaces and applications. Zbl 1239.35015
Serfaty, Sylvia
2011
Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains. Zbl 1347.35129
Bonforte, Matteo; Sire, Yannick; Vázquez, Juan Luis
2015
Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations. Zbl 1332.45009
Leonori, Tommaso; Peral, Ireneo; Primo, Ana; Soria, Fernando
2015
Ergodic optimization. Zbl 1116.37017
Jenkinson, Oliver
2006
Regularity results for weak solutions of the 3D MHD equations. Zbl 1055.76062
Wu, Jiahong
2004
Analysis of a linear fluid-structure interaction problem. Zbl 1039.35076
Du, Qiang; Gunzburger, M. D.; Hou, L. S.; Lee, J.
2003
Piecewise linear perturbations of a linear center. Zbl 1312.37037
Buzzi, Claudio; Pessoa, Claudio; Torregrosa, Joan
2013
An integral system and the Lane-Emden conjecture. Zbl 1176.35067
Chen, Wenxiong; Li, Congming
2009
Boundedness in a parabolic-parabolic quasilinear chemotaxis system with logistic source. Zbl 1277.35215
Wang, Liangchen; Li, Yuhuan; Mu, Chunlai
2014
Breakdown of solutions to $$\square u+u_ t=| u| ^{1+\alpha}$$. Zbl 0872.35067
Li, Ta-Tsien; Zhou, Yi
1995
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
2016
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
2003
Stability of variational eigenvalues for the fractional $$p$$-Laplacian. Zbl 1336.35270
Brasco, Lorenzo; Parini, Enea; Squassina, Marco
2016
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
2014
Wellposedness for a parabolic-elliptic system. Zbl 1082.35056
Coclite, Giuseppe Maria; Holden, Helge; Karlsen, Kenneth Hvistendahl
2005
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
2004
The diffusive logistic model with a free boundary and seasonal succession. Zbl 1273.35327
Peng, Rui; Zhao, Xiao-Qiang
2013
Well-posedness, blow up, and global existence for an integrable shallow water equation. Zbl 1061.35123
Yin, Zhaoyang
2004
The thermodynamic formalism for sub-additive potentials. Zbl 1140.37319
Cao, Yong-Luo; Feng, De-Jun; Huang, Wen
2008
On a limiting system in the Lotka-Volterra competition with cross-diffusion. Zbl 1174.35360
Lou, Yuan; Ni, Wei-Ming; Yotsutani, Shoji
2004
On energetic variational approaches in modeling the nematic liquid crystal flows. Zbl 1156.76007
Sun, Huan; Liu, Chun
2009
The Cauchy problem for the 3D Zakharov-Kuznetsov equation. Zbl 1170.35086
Linares, F.; Saut, Jean-Claude
2009
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.
2011
A spectral characterization of exponential stability for linear time-invariant systems on time scales. Zbl 1054.34086
Pötzsche, Christian; Siegmund, Stefan; Wirth, Fabian
2003
Sharp well-posedness results for the BBM equation. Zbl 1170.35303
Bona, Jerry; Tzvetkov, Nikolay
2009
Uniqueness of weak solutions for the semilinear wave equations with supercritical boundary/interior sources and damping. Zbl 1156.35432
Bociu, Lorena; Lasiecka, Irena
2008
Asymptotic properties and classification of bistable fronts with Lipschitz level sets. Zbl 1194.35151
Hamel, François; Monneau, Régis; Roquejoffre, Jean-Michel
2006
Global stability of traveling curved fronts in the Allen-Cahn equations. Zbl 1118.35012
Ninomiya, Hirokazu; Taniguchi, Masaharu
2006
Eigenvalues for a class of homogeneous cone maps arising from max-plus operators. Zbl 1007.47031
Mallet-Paret, John; Nussbaum, Roger D.
2002
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.
2017
Reaction-diffusion-advection models for the effects and evolution of dispersal. Zbl 1277.35002
Cosner, Chris
2014
Gap solitons in periodic discrete nonlinear Schrödinger equations. II: A generalized Nehari manifold approach. Zbl 1220.35164
Pankov, A.
2007
Critical exponent for the semilinear wave equation with time-dependent damping. Zbl 1255.35058
Lin, Jiayun; Nishihara, Kenji; Zhai, Jian
2012
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.
1997
The global attractor for the solutions to the 3D viscous primitive equations. Zbl 1131.35065
Ju, Ning
2007
The non-isothermal Allen-Cahn equation with dynamic boundary conditions. Zbl 1160.35353
Gal, Ciprian G.; Grasselli, Maurizio
2008
Invasion entire solutions in a competition system with nonlocal dispersal. Zbl 1319.35088
Li, Wan-Tong; Zhang, Li; Zhang, Guo-Bao
2015
A partially hinged rectangular plate as a model for suspension bridges. Zbl 1336.35012
Gazzola, Filippo; Ferrero, Alberto
2015
Global existence and boundedness for chemotaxis-Navier-Stokes systems with position-dependent sensitivity in 2D bounded domains. Zbl 1308.35214
Ishida, Sachiko
2015
Energy estimates and 1-D symmetry for nonlinear equations involving the half-Laplacian. Zbl 1193.35242
Cabré, Xavier; Cinti, Eleonora
2010
Stability and random attractors for a reaction-diffusion equation with multiplicative noise. Zbl 1011.37031
Caraballo, Tomás; Langa, José A.; Robinson, James C.
2000
Cauchy problem for the Ostrovsky equation. Zbl 1059.35035
Varlamov, V.; Liu, Yue
2004
Stabilization for the 3D Navier-Stokes system by feedback boundary control. Zbl 1174.93675
Fursikov, A. V.
2004
Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff. Zbl 1169.35315
Morimoto, Yoshinori; Ukai, Seiji; Xu, Chao-Jiang; Yang, Tong
2009
A convergent numerical scheme for the Camassa-Holm equation based on multipeakons. Zbl 1111.35061
Holden, Helge; Raynaud, Xavier
2006
Mean field equations of Liouville type with singular data: sharper estimates. Zbl 1211.35263
Chen, Chiun-Chuan; Lin, Chang-Shou
2010
An Evans function approach to spectral stability of small-amplitude shock profiles. Zbl 1058.35164
Plaza, Ramon; Zumbrun, Kevin
2004
Improved results for Klein-Gordon-Maxwell systems with general nonlinearity. Zbl 1398.35026
Chen, Sitong; Tang, Xianhua
2018
Attractors for semilinear strongly damped wave equations on $$\mathbb{R}^3$$. Zbl 1200.35032
Belleri, Veronica; Pata, Vittorino
2001
Sufficient conditions for the regularity to the 3D Navier-Stokes equations. Zbl 1186.35136
Cao, Chongsheng
2010
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
2009
Reaction-diffusion equations for population dynamics with forced speed. I: The case of the whole space. Zbl 1173.35542
Berestycki, Henri; Rossi, Luca
2008
Orbital and weak shadowing properties. Zbl 1015.37020
Pilyugin, S. Yu.; Rodionova, A. A.; Sakai, K.
2003
Global dynamics in a fully parabolic chemotaxis system with logistic source. Zbl 1352.35067
Mu, Chunlai; Lin, Ke
2016
Asymptotic profiles of solutions to the 2D viscous incompressible micropolar fluid flows. Zbl 1170.35336
Dong, Bo-Qing; Chen, Zhi-Min
2009
On well-posedness of the Degasperis-Procesi equation. Zbl 1237.35137
Himonas, A. Alexandrou; Holliman, Curtis
2011
Boundary feedback stabilization of the two dimensional Navier-Stokes equations with finite dimensional controllers. Zbl 1211.93103
Raymond, Jean-Pierre; Thevenet, Laetitia
2010
Positive solutions to a class of quasilinear elliptic equations on $$\mathbb{R}$$. Zbl 1023.35033
Ambrosetti, Antonio; Wang, Zhi-Qiang
2003
Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption. Zbl 1375.35575
Lankeit, Johannes; Wang, Yulan
2017
Schrödinger equations with a spatially decaying nonlinearity: existence and stability of standing waves. Zbl 1154.35082
Genoud, François; Stuart, Charles A.
2008
Asymptotic behaviour of a porous medium equation with fractional diffusion. Zbl 1211.35043
Caffarelli, Luis; Vázquez, Juan-Luis
2011
An overview on linear and nonlinear Dirac equations. Zbl 1162.49307
Esteban, Maria J.; Séré, Eric
2002
Existence of KPP type fronts in space-time periodic shear flows and a study of minimal speeds based on variational principle. Zbl 1097.35072
Nolen, James; Xin, Jack
2005
Qualitative analysis for a Lotka-Volterra competition system in advective homogeneous environment. Zbl 1322.35072
Zhou, Peng; Xiao, Dongmei; Lou, Yuan
2016
Two species nonlocal diffusion systems with free boundaries. Zbl 1483.35347
Du, Yihong; Wang, Mingxin; Zhao, Meng
2022
Shadowing for families of endomorphisms of generalized group shifts. Zbl 07451267
Phung, Xuan Kien
2022
Decay estimates for Schrödinger heat semigroup with inverse square potential in Lorentz spaces. II. Zbl 1480.35039
Ishige, Kazuhiro; Tateishi, Yujiro
2022
The Brinkman-Fourier system with ideal gas equilibrium. Zbl 07451274
Liu, Chun; Sulzbach, Jan-Eric
2022
Generalization of the Winfree model to the high-dimensional sphere and its emergent dynamics. Zbl 07463727
Park, Hansol
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
2022
Eternal solutions for a reaction-diffusion equation with weighted reaction. Zbl 1483.35065
Iagar, Razvan Gabriel; Sánchez, Ariel
2022
Generalized solutions to models of compressible viscous fluids. Zbl 1460.35274
Abbatiello, Anna; Feireisl, Eduard; Novotný, Antoní
2021
Mean equicontinuity, complexity and applications. Zbl 1460.37009
Li, Jie; Ye, Xiangdong; Yu, Tao
2021
Singular solutions of a Lane-Emden system. Zbl 1459.35141
Cowan, Craig; Razani, Abdolrahman
2021
Long time behavior of the fractional Korteweg-de Vries equation with cubic nonlinearity. Zbl 1458.76016
Saut, Jean-Claude; Wang, Yuexun
2021
Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction. Zbl 1458.35076
Tao, Youshan; Winkler, Michael
2021
A new approach to MGT-thermoviscoelasticity. Zbl 1479.35855
Conti, Monica; Pata, Vittorino; Pellicer, Marta; Quintanilla, Ramon
2021
The unique measure of maximal entropy for a compact rank one locally CAT(0) space. Zbl 1460.37034
Ricks, Russell
2021
A posteriori error estimates for self-similar solutions to the Euler equations. Zbl 1460.35268
Bressan, Alberto; Shen, Wen
2021
Entire and ancient solutions of a supercritical semilinear heat equation. Zbl 1458.35228
Poláčik, Peter; Quittner, Pavol
2021
Solution of the 33rd Palis-Pugh problem for gradient-like diffeomorphisms of a two-dimensional sphere. Zbl 1461.37044
Nozdrinova, Elena; Pochinka, Olga
2021
Periodic solutions and Hyers-Ulam stability of atmospheric Ekman flows. Zbl 1467.34043
Guan, Yi; Fečkan, Michal; Wang, Jinrong
2021
Asymptotic stability in a chemotaxis-competition system with indirect signal production. Zbl 1460.35360
Zheng, Pan
2021
McKean-Vlasov SDEs with drifts discontinuous under Wasserstein distance. Zbl 1466.60119
Huang, Xing; Wang, Feng-Yu
2021
Multiple positive bound state solutions for a critical Choquard equation. Zbl 1468.81041
Alves, Claudianor O.; Figueiredo, Giovany M.; Molle, Riccardo
2021
Classification of solutions to a nonlocal equation with doubly Hardy-Littlewood-Sobolev critical exponents. Zbl 1473.35306
Yang, Minbo; Zhao, Fukun; Zhao, Shunneng
2021
Inverse problems for nonlinear hyperbolic equations. Zbl 1458.35486
Uhlmann, Gunther; Zhai, Jian
2021
Geometric singular perturbation analysis of Degasperis-Procesi equation with distributed delay. Zbl 1477.34081
Cheng, Feifei; Li, Ji
2021
$$N$$-Laplacian problems with critical double exponential nonlinearities. Zbl 1459.35118
Deng, Shengbing; Hu, Tingxi; Tang, Chun-Lei
2021
Existence of nodal solutions for the sublinear Moore-Nehari differential equation. Zbl 1464.34039
Kajikiya, Ryuji
2021
On the vanishing discount problem from the negative direction. Zbl 1470.35136
Davini, Andrea; Wang, Lin
2021
$$BV$$ solution for a non-linear Hamilton-Jacobi system. Zbl 1465.35112
El Hajj, Ahmad; Ibrahim, Hassan; Rizik, Vivian
2021
Penalisation of long treatment time and optimal control of a tumour growth model of Cahn-Hilliard type with singular potential. Zbl 1470.35369
Signori, Andrea
2021
Second order estimates for complex Hessian equations on Hermitian manifolds. Zbl 1466.35108
Dong, Weisong; Li, Chang
2021
Normalized solutions for nonlinear coupled fractional systems: low and high perturbations in the attractive case. Zbl 1466.35139
Zhen, Maoding; Zhang, Binlin; Rădulescu, Vicenţiu D.
2021
Approximation properties of Lüroth expansions. Zbl 1469.11255
Tan, Bo; Zhou, Qinglong
2021
An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth. Zbl 1467.35361
Lederman, Claudia; Wolanski, Noemi
2021
Existence of solution for a class of heat equation in whole $$\mathbb{R}^N$$. Zbl 1465.35283
Alves, Claudianor O.; Boudjeriou, Tahir
2021
Partial regularity and Liouville theorems for stable solutions of anisotropic elliptic equations. Zbl 1466.35188
Fazly, Mostafa; Li, Yuan
2021
Singular double-phase systems with variable growth for the Baouendi-Grushin operator. Zbl 1467.35163
Bahrouni, Anouar; Rădulescu, Vicenţiu D.
2021
Pointwise gradient bounds for a class of very singular quasilinear elliptic equations. Zbl 1466.35231
Tran, Minh-Phuong; Nguyen, Thanh-Nhan
2021
Centralizers of partially hyperbolic diffeomorphisms in dimension 3. Zbl 07356656
Barthelmé, Thomas; Gogolev, Andrey
2021
Convergence of nonlocal geometric flows to anisotropic mean curvature motion. Zbl 1471.53072
Cesaroni, Annalisa; Pagliari, Valerio
2021
Minimal collision arcs asymptotic to central configurations. Zbl 1478.70007
Barutello, Vivina; Canneori, Gian Marco; Terracini, Susanna
2021
Function approximation via the subsampled Poincaré inequality. Zbl 1458.35008
Chen, Yifan; Hou, Thomas Y.
2021
Stuart-type polar vortices on a rotating sphere. Zbl 1454.86007
Constantin, Adrian; Crowdy, Darren G.; Krishnamurthy, Vikas S.; Wheeler, Miles H.
2021
Hamiltonian elliptic systems in dimension two with arbitrary and double exponential growth conditions. Zbl 1459.35144
Marcos do Ó, João; Ribeiro, Bruno; Ruf, Bernhard
2021
A brief and personal history of stochastic partial differential equations. Zbl 1460.60070
Zambotti, Lorenzo
2021
Mean Li-Yorke chaotic set along polynomial sequence with full Hausdorff dimension for $$\beta$$-transformation. Zbl 1460.37015
Xiao, Yuanfen
2021
Pullback attractor for a weakly damped wave equation with sup-cubic nonlinearity. Zbl 1458.35067
Mei, Xinyu; Xiong, Yangmin; Sun, Chunyou
2021
Asymptotic behavior of minimal solutions of $$-\Delta u=\lambda f(u)$$ as $$\lambda\to-\infty$$. Zbl 1467.35171
Battaglia, Luca; Gladiali, Francesca; Grossi, Massimo
2021
Construction of a solitary wave solution of the nonlinear focusing Schrödinger equation outside a strictly convex obstacle in the $$L^2$$-supercritical case. Zbl 1460.35329
Landoulsi, Oussama
2021
Large time behavior of exchange-driven growth. Zbl 1462.34035
Esentürk, Emre; Velazquez, Juan
2021
Low Mach number limit for the compressible inertial Qian-Sheng model of liquid crystals: convergence for classical solutions. Zbl 1460.35294
Luo, Yi-Long; Ma, Yangjun
2021
Properties of the minimizers for a constrained minimization problem arising in Kirchhoff equation. Zbl 1459.35157
Guo, Helin; Zhou, Huan-Song
2021
Pomeau-Manneville maps are global-local mixing. Zbl 1464.37045
Bonanno, Claudio; Lenci, Marco
2021
On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations. Zbl 1460.35321
Comech, Andrew; Cuccagna, Scipio
2021
Blow-up and bounded solutions for a semilinear parabolic problem in a saturable medium. Zbl 1458.35227
Fernandes, Juliana; Maia, Liliane
2021
Global large solutions and optimal time-decay estimates to the Korteweg system. Zbl 1460.35300
Zhai, Xiaoping; Li, Yongsheng
2021
Mean-square random invariant manifolds for stochastic differential equations. Zbl 1467.37053
Wang, Bixiang
2021
Failure of scattering to solitary waves for long-range nonlinear Schrödinger equations. Zbl 1460.35331
Murphy, Jason; Nakanishi, Kenji
2021
Dynamical Borel-Cantelli lemmas. Zbl 1472.37009
Xing, Viktoria
2021
Anomalous time-scaling of extreme events in infinite systems and Birkhoff sums of infinite observables. Zbl 1461.37011
Galatolo, Stefano; Holland, Mark; Persson, Tomas; Zhang, Yiwei
2021
Reversible perturbations of conservative Hénon-like maps. Zbl 07314934
Gonchenko, Marina; Gonchenko, Sergey; Safonov, Klim
2021
Steady asymmetric vortex pairs for Euler equations. Zbl 1460.35286
Hassainia, Zineb; Hmidi, Taoufik
2021
Asymptotic stability of viscous contact wave for the inflow problem of the one-dimensional radiative Euler equations. Zbl 1460.35270
Fan, Lili; Ruan, Lizhi; Xiang, Wei
2021
Thermodynamic formalism of $$\mathrm{GL}_2(\mathbb{R})$$-cocycles with canonical holonomies. Zbl 1470.37050
Butler, Clark; Park, Kiho
2021
Martingale solution for stochastic active liquid crystal system. Zbl 1470.35289
Qiu, Zhaoyang; Wang, Yixuan
2021
Liouville type theorems for fractional and higher-order fractional systems. Zbl 1466.35118
Cao, Daomin; Qin, Guolin
2021
Strong blow-up instability for standing wave solutions to the system of the quadratic nonlinear Klein-Gordon equations. Zbl 1465.35301
Miyazaki, Hayato
2021
Stabilizability in optimization problems with unbounded data. Zbl 1467.93261
Lai, Anna Chiara; Motta, Monica
2021
Some results for the large time behavior of Hamilton-Jacobi equations with Caputo time derivative. Zbl 1465.35077
Ley, Olivier; Topp, Erwin; Yangari, Miguel
2021
A dynamical approach to lower and upper solutions for planar systems. “To the memory of Massimo Tarallo”. Zbl 1478.34043
2021
Scattering of radial solutions for quadratic-type Schrödinger systems in dimension five. Zbl 1470.35338
2021
On the splitting method for the nonlinear Schrödinger equation with initial data in $$H^1$$. Zbl 1468.35184
Choi, Woocheol; Koh, Youngwoo
2021
Random substitution tilings and deviation phenomena. Zbl 1466.52023
Schmieding, Scott; Treviño, Rodrigo
2021
Boundary asymptotics of the ergodic functions associated with fully nonlinear operators through a Liouville type theorem. Zbl 1479.35446
Birindelli, Isabeau; Demengel, Françoise; Leoni, Fabiana
2021
Primitive equations with horizontal viscosity: the initial value and the time-periodic problem for physical boundary conditions. Zbl 1470.35284
Hussein, Amru; Saal, Martin; Wrona, Marc
2021
On some model problem for the propagation of interacting species in a special environment. Zbl 1466.35130
Chipot, Michel; Zhang, Mingmin
2021
Dynamics of curved travelling fronts for the discrete Allen-Cahn equation on a two-dimensional lattice. Zbl 1481.34018
Jukić, Mia; Hupkes, Hermen Jan
2021
Complex planar Hamiltonian systems: linearization and dynamics. Zbl 1478.37061
Shi, Hua; Zhang, Xiang; Zhang, Yuyan
2021
Dynamics of the 2D Navier-Stokes equations with sublinear operators in Lipschitz-like domains. Zbl 1470.35263
Yang, Xin-Guang; Wang, Rong-Nian; Yan, Xingjie; Miranville, Alain
2021
Ergodic pairs for degenerate pseudo Pucci’s fully nonlinear operators. Zbl 1466.35206
Demengel, Françoise
2021
A quantum approach to Keller-Segel dynamics via a dissipative nonlinear Schrödinger equation. Zbl 1465.35273
López, José Luis
2021
Non-autonomous stochastic evolution equations with nonlinear noise and nonlocal conditions governed by noncompact evolution families. Zbl 1466.60126
Chen, Pengyu
2021
Schrödinger equations with vanishing potentials involving Brezis-kamin type problems. Zbl 1466.35098
Cardoso, Jose Anderson; Cerda, Patricio; Pereira, Denilson; Ubilla, Pedro
2021
On global well-posedness of the modified KdV equation in modulation spaces. Zbl 1469.35188
2021
Study of fractional Poincaré inequalities on unbounded domains. Zbl 1467.35013
Chowdhury, Indranil; Csató, Gyula; Roy, Prosenjit; Sk, Firoj
2021
Asymptotic behavior of entire solutions to reaction-diffusion equations in an infinite star graph. Zbl 1465.35280
Jimbo, Shuichi; Morita, Yoshihisa
2021
On multiplicity of semi-classical solutions to nonlinear Dirac equations of space-dimension $$n$$. Zbl 1482.35184
Ding, Yanheng; Dong, Xiaojing; Guo, Qi
2021
Coexistence and exclusion of competitive Kolmogorov systems with semi-Markovian switching. Zbl 1482.60120
Li, Dan; Wan, Hui
2021
Local well-posedness for the derivative nonlinear Schrödinger equation with $$L^2$$-subcritical data. Zbl 1470.35331
Guo, Shaoming; Ren, Xianfeng; Wang, Baoxiang
2021
Unique solvability of elliptic problems associated with two-phase incompressible flows in unbounded domains. Zbl 1473.35413
Saito, Hirokazu; Zhang, Xin
2021
Singularity formation for compressible Euler equations with time-dependent damping. Zbl 1473.35427
Sui, Ying; Yu, Huimin
2021
Symmetries of vector fields: the diffeomorphism centralizer. Zbl 1477.37030
Obata, Davi
2021
Asymptotic speed of spread for a nonlocal evolutionary-epidemic system. Zbl 1473.35585
Abi Rizk, Lara; Burie, Jean-Baptiste; Ducrot, Arnaud
2021
Transfers of energy through fast diffusion channels in some resonant PDEs on the circle. Zbl 1481.37089
Giuliani, Filippo
2021
Global existence and decay rates of the solutions for a chemotaxis system with Lotka-Volterra type model for chemoattractant and repellent. Zbl 07393878
Hattori, Harumi; Lagha, Aesha
2021
Uniqueness properties of the KAM curve. Zbl 07393879
Trujillo, Frank
2021
A multiplicity result for orthogonal geodesic chords in Finsler disks. Zbl 07393886
Corona, Dario
2021
On the decay in $$W^{1,\infty}$$ for the 1D semilinear damped wave equation on a bounded domain. Zbl 1473.35356
2021
The nonlinear fractional relativistic Schrödinger equation: existence, multiplicity, decay and concentration results. Zbl 1483.35314
Ambrosio, Vincenzo
2021
Bifurcations in asymptotically autonomous Hamiltonian systems under oscillatory perturbations. Zbl 07472926
Sultanov, Oskar A.
2021
Positivity, monotonicity, and convexity for convolution operators. Zbl 1440.42029
Goodrich, Christopher; Lizama, Carlos
2020
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### Cited by 19,356 Authors

 122 Papageorgiou, Nikolaos S. 111 Llibre, Jaume 100 Li, Wan-Tong 95 Mu, Chunlai 87 Tang, Xianhua 76 Miranville, Alain M. 72 Valdinoci, Enrico 69 Winkler, Michael 65 Rădulescu, Vicenţiu D. 65 Wang, Bixiang 65 Yin, Zhaoyang 64 Wang, Mingxin 62 Valls Anglés, Cláudia 62 Yang, Xiaofeng 61 Caraballo Garrido, Tomás 59 Shen, Wenxian 58 Wei, Juncheng 55 Wu, Jiahong 55 Zhou, Shengfan 54 Tachim Medjo, Theodore 50 Barreira, Luis Manuel 50 Ha, Seung-Yeal 50 Vazquez, Juan Luis 49 Coclite, Giuseppe Maria 49 Kloeden, Peter Eris 47 Carrillo de la Plata, José Antonio 47 de la Llave, Rafael 45 Chen, Sitong 45 Guo, Boling 45 Valero, José 44 Grasselli, Maurizio 44 Li, Yangrong 44 Tan, Zhong 43 Wang, Zhi Cheng 42 Feng, Zhaosheng 42 Lee, Manseob 42 Liu, Meng 42 Lou, Yuan 42 Yao, Zhengan 41 Zumbrun, Kevin R. 40 Colli, Pierluigi 40 Liu, Yue 39 Temam, Roger Meyer 39 Zhao, Caidi 38 Lasiecka, Irena 38 Li, Yeping 38 Titi, Edriss Saleh 38 Yang, Zhijian 38 Zelik, Sergey V. 38 Zhang, Zujin 37 Dipierro, Serena 37 Gao, Hongjun 37 O’Regan, Donal 37 Shi, Junping 37 Yuan, Rong 36 Ambrosio, Vincenzo 36 Oprocha, Piotr 36 Wang, Cheng 36 Xu, Junxiang 36 Zhong, Chengkui 35 Dragičević, Davor 35 Wang, Ke 35 Yang, Minbo 34 Chu, Jifeng 34 Du, Yihong 34 Gala, Sadek 34 Rocca, Elisabetta 34 Ruan, Shigui 33 Guo, Zhengguang 33 Pata, Vittorino 33 Peng, Rui 33 Wu, Shiliang 33 Zhang, Binlin 32 Kukavica, Igor 32 Morales, Carlos Arnoldo 32 Tian, Lixin 32 Xiang, Zhaoyin 31 Gal, Ciprian Gheorghe Sorin 31 Liu, Chun 31 Liu, Qiao 30 Torres, Delfim Fernando Marado 30 Wu, Tsungfang 30 Yang, Tong 30 Zhao, Xiao-Qiang 30 Zheng, Jiashan 30 Zheng, Pan 29 Li, Congming 29 Pelinovsky, Dmitry Efimovich 29 Punzo, Fabio 29 Trofimchuk, Sergei I. 29 Varandas, Paulo 29 Wu, Jianhua 28 Dong, Boqing 28 Giga, Yoshikazu 28 Lin, Zhigui 28 Lopes, Artur Oscar 28 Majda, Andrew J. 28 Wang, Yejuan 28 Zhou, Yong 27 Dong, Hongjie ...and 19,256 more Authors
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 1,869 Journal of Differential Equations 1,445 Journal of Mathematical Analysis and Applications 1,075 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 967 Discrete and Continuous Dynamical Systems 522 Nonlinear Analysis. Real World Applications 495 Discrete and Continuous Dynamical Systems. Series B 477 Communications on Pure and Applied Analysis 410 Calculus of Variations and Partial Differential Equations 388 Journal of Mathematical Physics 353 ZAMP. Zeitschrift für angewandte Mathematik und Physik 333 Archive for Rational Mechanics and Analysis 317 Applied Mathematics and Computation 316 Ergodic Theory and Dynamical Systems 301 Journal of Dynamics and Differential Equations 300 Journal of Functional Analysis 298 Applied Mathematics Letters 290 Nonlinearity 281 Communications in Mathematical Physics 277 SIAM Journal on Mathematical Analysis 269 Proceedings of the American Mathematical Society 259 Applicable Analysis 246 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 240 Transactions of the American Mathematical Society 238 Computers & Mathematics with Applications 236 Physica D 208 Boundary Value Problems 204 Discrete and Continuous Dynamical Systems. Series S 198 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 192 Advances in Mathematics 187 Abstract and Applied Analysis 186 Mathematical Methods in the Applied Sciences 184 Journal de Mathématiques Pures et Appliquées. Neuvième Série 175 NoDEA. Nonlinear Differential Equations and Applications 171 Journal of Computational Physics 170 Journal of Evolution Equations 166 Advances in Difference Equations 163 Communications in Partial Differential Equations 160 Journal of Mathematical Fluid Mechanics 157 Journal of Nonlinear Science 155 Journal of Computational and Applied Mathematics 148 Science China. Mathematics 147 Journal of Statistical Physics 138 Dynamical Systems 134 Journal of Difference Equations and Applications 133 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 132 Chaos, Solitons and Fractals 131 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 130 Applied Mathematics and Optimization 129 Acta Applicandae Mathematicae 121 Communications in Nonlinear Science and Numerical Simulation 120 Annali di Matematica Pura ed Applicata. Serie Quarta 120 Communications in Contemporary Mathematics 117 Qualitative Theory of Dynamical Systems 115 Journal of Mathematical Biology 114 Acta Mathematica Sinica. English Series 106 Advanced Nonlinear Studies 106 SIAM Journal on Applied Dynamical Systems 105 Monatshefte für Mathematik 98 Advances in Nonlinear Analysis 97 Journal of Scientific Computing 92 Journal of Optimization Theory and Applications 90 SIAM Journal on Control and Optimization 89 Stochastics and Dynamics 87 Chaos 86 Mathematische Annalen 85 Comptes Rendus. Mathématique. Académie des Sciences, Paris 85 Mediterranean Journal of Mathematics 82 Evolution Equations and Control Theory 78 Topology and its Applications 77 Chinese Annals of Mathematics. Series B 76 Journal of Dynamical and Control Systems 72 Applied Numerical Mathematics 71 Electronic Research Archive 70 The Journal of Geometric Analysis 69 Topological Methods in Nonlinear Analysis 69 Regular and Chaotic Dynamics 68 Mathematische Zeitschrift 68 Complex Variables and Elliptic Equations 68 Journal of Fixed Point Theory and Applications 67 Journal of Inequalities and Applications 66 Journal of Mathematical Sciences (New York) 66 Nonlinear Dynamics 66 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 65 Systems & Control Letters 65 Discrete Dynamics in Nature and Society 64 Israel Journal of Mathematics 64 SIAM Journal on Applied Mathematics 61 Acta Mathematicae Applicatae Sinica. English Series 60 Quarterly of Applied Mathematics 60 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 60 Bulletin of the Brazilian Mathematical Society. New Series 58 SIAM Journal on Numerical Analysis 57 Mathematical Biosciences and Engineering 57 Journal of Applied Analysis and Computation 54 Numerische Mathematik 54 SIAM Journal on Scientific Computing 54 Kinetic and Related Models 53 Asymptotic Analysis 52 Journal of the European Mathematical Society (JEMS) 51 AIMS Mathematics ...and 700 more Journals
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