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## Efendiev, Messoud

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 Author ID: efendiev.messoud Published as: Efendiev, Messoud; Efendiev, M. A.; Efendiev, Messoud A.; Èfendiev, M. A.; Efendiev, M. Homepage: https://www.helmholtz-muenchen.de/icb/institute/staff/messoud-efendiyev/start/in... External Links: IdRef · MGP · theses.fr · Math-Net.Ru · Wikidata · dblp · GND
 Documents Indexed: 132 Publications since 1976, including 7 Books Reviewing Activity: 4,391 Reviews Biographic References: 1 Publication
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#### Co-Authors

 27 single-authored 18 Wendland, Wolfgang L. 17 Zelik, Sergey V. 11 Eberl, Hermann J. 11 Miranville, Alain M. 7 Nakaguchi, Etsushi 6 Ôtani, Mitsuharu 6 Zhigun, Anna 5 Sonner, Stefanie 5 Yagi, Atsushi 4 Schuppert, Andreas A. 3 Czaja, Radosław 3 Demaret, Laurent 3 Fiedler, Bernold 3 Lasser, Rupert 3 Vougalter, Vitali 2 Aida, Masashi 2 Begehr, Heinrich 2 Carbou, Gilles 2 Chepyzhov, Vladimir V. 2 Fabrie, Pierre 2 Senba, Takasi 2 Tsujikawa, Tohru 2 van Brunt, Bruce 2 Zaidi, Ali Ashher 1 Akagi, Goro 1 Berestycki, Henri 1 Busca, Jérôme 1 Cresson, Jacky 1 Dancer, Edward Norman 1 Du, Yihong 1 Eisenhofer, Sabine 1 Feng, Lirui 1 Fuhrmann, Jürgen 1 Gabitov, Ildar R. 1 Gajewski, Herbert 1 Hamel, François 1 Homburg, Ale Jan 1 Infante, Gennaro 1 Khassehkhan, Hassan 1 Kläre, Michael 1 Lutscher, Frithjof 1 Maksudov, Faramaz Gazanfar 1 Maloszewski, Piotr 1 Mielke, Alexander 1 Mimura, Masayasu 1 Müller, Johannes 1 Murley, Jonathan 1 Osaki, Koichi 1 Peletier, Lambertus Adrianus 1 Popova, Elena N. 1 Rademacher, Jens Diederich Michael 1 Russ, Emmanuel 1 Scheel, Arnd 1 Schmitz, Hermann 1 Schulz, Sabine 1 Shah, Touqeer H. 1 Takei, Yasuhiro 1 Temam, Roger Meyer 1 Wake, Graeme Charles 1 Wang, Xiaoying 1 Wegert, Elias 1 Wolfrum, Matthias 1 Wrzosek, Dariusz M. 1 Wu, Jianhong 1 Yamamoto, Yoshitaka 1 Zhang, Xue 1 Zischka, Hans
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#### Serials

 12 Mathematical Methods in the Applied Sciences 9 Izvestiya Akademii Nauk Azerbaidzhanskoi SSR. Seriya Fiziko-Tekhnicheskikh i Matematicheskikh Nauk 9 Advances in Mathematical Sciences and Applications 6 Journal of Mathematical Analysis and Applications 6 Discrete and Continuous Dynamical Systems 4 Mathematische Nachrichten 4 Osaka Journal of Mathematics 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 Journal of the Mathematical Society of Japan 3 Soviet Mathematics. Doklady 3 Electronic Journal of Differential Equations (EJDE) 3 Advances in Differential Equations 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Communications on Pure and Applied Mathematics 2 Bulletin of the London Mathematical Society 2 Journal of Differential Equations 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Discrete and Continuous Dynamical Systems. Series B 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications on Pure and Applied Analysis 2 International Journal of Biomathematics and Biostatistics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Bulletin of Mathematical Biology 1 Advances in Mathematics 1 Functiones et Approximatio. Commentarii Mathematici 1 Glasgow Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the London Mathematical Society. Third Series 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics 1 Differential and Integral Equations 1 Doklady, Akademiya Nauk Azerbaĭdzhanskoĭ SSR 1 SIAM Journal on Mathematical Analysis 1 Journal of Dynamics and Differential Equations 1 Continuum Mechanics and Thermodynamics 1 Topological Methods in Nonlinear Analysis 1 Journal of Convex Analysis 1 Communications in Applied Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Electronic Journal of Qualitative Theory of Differential Equations 1 RIMS Kokyuroku 1 Nonlinear Boundary Value Problems 1 Advanced Nonlinear Studies 1 Fixed Point Theory 1 Fields Institute Monographs 1 ISNM. International Series of Numerical Mathematics 1 Mathematical Surveys and Monographs 1 GAKUTO International Series. Mathematical Sciences and Applications 1 Lecture Notes in Applied and Computational Mechanics 1 AIMS Series on Differential Equations and Dynamical Systems
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#### Fields

 95 Partial differential equations (35-XX) 42 Dynamical systems and ergodic theory (37-XX) 38 Biology and other natural sciences (92-XX) 27 Functions of a complex variable (30-XX) 19 Operator theory (47-XX) 7 Integral equations (45-XX) 7 Fluid mechanics (76-XX) 6 Numerical analysis (65-XX) 4 Algebraic topology (55-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of deformable solids (74-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Ordinary differential equations (34-XX) 2 General and overarching topics; collections (00-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX)

#### Citations contained in zbMATH Open

102 Publications have been cited 822 times in 500 Documents Cited by Year
Exponential attractors for a nonlinear reaction-diffusion system in $$\mathbb R^3$$. Zbl 1151.35315
Efendiev, Messoud; Miranville, Alain; Zelik, Sergey
2000
Exponential attractors and finite-dimensional reduction for non-autonomous dynamical systems. Zbl 1088.37005
Efendiev, M.; Zelik, S.; Miranville, A.
2005
The attractor for a nonlinear reaction-diffusion system in an unbounded domain. Zbl 1041.35016
Efendiev, M. A.; Zelik, S. V.
2001
On the rate-independent limit of systems with dry friction and small viscosity. Zbl 1109.74040
Efendiev, Messoud A.; Mielke, Alexander
2006
Lower estimate of the attractor dimension for a chemotaxis growth system. Zbl 1125.37056
Aida, Masashi; Tsujikawa, Tohru; Efendiev, Messoud; Yagi, Atsushi; Mimura, Masayasu
2006
Exponential attractors for a singularly perturbed Cahn-Hilliard system. Zbl 1046.37047
Efendiev, Messoud; Miranville, Alain; Zelik, Sergey
2004
Pullback exponential attractors for nonautonomous equations. I: Semilinear parabolic problems. Zbl 1233.35041
2011
Finite- and infinite-dimensional attractors for porous media equations. Zbl 1132.37027
Efendiev, M.; Zelik, S.
2008
Existence and longtime behavior of a biofilm model. Zbl 1175.35017
Efendiev, Messoud A.; Zelik, Sergey; Eberl, Hermann J.
2009
Attractors of the reaction-diffusion systems with rapidly oscillating coefficients and their homogenization. Zbl 1036.35038
Efendiev, M.; Zelik, S.
2002
Upper and lower bounds for the Kolmogorov entropy of the attractor for the RDE in an unbounded domain. Zbl 1258.35036
Efendiev, M. A.; Zelik, S. V.
2002
Exponential attractors for non-autonomous dissipative system. Zbl 1218.37111
Efendiev, Messoud; Yamamoto, Yoshitaka; Yagi, Atsushi
2011
Finite-dimensional attractors and exponential attractors for degenerate doubly nonlinear equations. Zbl 1178.34060
Efendiev, M.; Zelik, S.
2009
Finite-dimensional attractors for reaction-diffusion equations in $$\mathbb{R}^n$$ with a strong nonlinearity. Zbl 0959.35025
Efendiev, Messoud; Miranville, Alain
1999
Infinite-dimensional attractors for evolution equations with $$p$$-Laplacian and their Kolmogorov entropy. Zbl 1212.37081
Efendiev, Messoud A.; Ôtani, Mitsuharu
2007
Hausdorff dimension estimation for attractors of nonautonomous dynamical systems in unbounded domains: An example. Zbl 1022.37048
Chepyzhov, V. V.; Efendiev, M. A.
2000
The regular attractor for the reaction-diffusion system with a nonlinearity rapidly oscillating in time and its averaging. Zbl 1030.35016
Efendiev, M.; Zelik, S.
2003
Analysis and simulation of a meso-scale model of diffusive resistance of bacterial biofilms to penetration of antibiotics. Zbl 1166.35341
Demaret, Laurent; Eberl, Hermann; Efendiev, Messoud; Lasser, Ruppert
2008
A degenerate diffusion-reaction model of an amensalistic biofilm control system: existence and simulation of solutions. Zbl 1183.35160
Khassehkhan, Hassan; Efendiev, Messoud A.; Eberl, Hermann J.
2009
Infinite dimensional exponential attractors for a non-autonomous reaction-diffusion system. Zbl 1025.37043
Efendiev, Messoud; Miranville, Alain; Zelik, Sergey
2003
Infinite-dimensional exponential attractors for nonlinear reaction-diffusion systems in unbounded domains and their approximation. Zbl 1072.35045
Efendiev, M.; Miranville, A.; Zelik, S.
2004
On a new dimension estimate of the global attractor for chemotaxis-growth systems. Zbl 1160.37034
Nakaguchi, Etsushi; Efendiev, Messoud
2008
Nonlinear Riemann-Hilbert problems for multiply connected domains. Zbl 0926.47040
Efendiev, M. A.; Wendland, Wolfgang L.
1996
Global weak solutions for the Landau-Lifschitz equation with magnetostriction. Zbl 1219.35297
Carbou, G.; Efendiev, M. A.; Fabrie, P.
2011
Infinite-dimensional attractors for parabolic equations with $$p$$-Laplacian in heterogeneous medium. Zbl 1242.35159
Efendiev, Messoud A.; Ôtani, Mitsuharu
2011
On the asymptotics of meromophic solutions for nonlinear Riemann-Hilbert problems. Zbl 0949.35105
Begehr, H.; Efendiev, M. A.
1999
The dimension of the global attractor for dissipative reaction-diffusion systems. Zbl 1041.37039
Efendiev, M.; Miranville, A.
2003
Quasilinear abstract parabolic evolution equations and exponential attractors. Zbl 1073.37090
Aida, Masashi; Efendiev, Messoud; Yagi, Atsushi
2005
Continuous dependence on a parameter of exponential attractors for chemotaxis-growth system. Zbl 1065.37056
Efendiev, Messoud; Yagi, Atsushi
2005
On the well-posedness of a mathematical model of quorum-sensing in patchy biofilm communities. Zbl 1221.35214
Sonner, Stefanie; Efendiev, Messoud A.; Eberl, Hermann J.
2011
Global and exponential attractors for nonlinear reaction-diffusion systems in unbounded domains. Zbl 1149.37328
Efendiev, M.; Miranville, A.; Zelik, S.
2004
Nonlinear Riemann-Hilbert problems for doubly connected domains and closed boundary data. Zbl 1029.30024
Efendiev, M. A.; Wendland, W. L.
2001
Evolution equations arising in the modelling of life sciences. Zbl 1276.92003
Efendiev, Messoud
2013
Attractors for degenerate parabolic type equations. Zbl 1292.35003
Efendiev, Messoud
2013
Pullback exponential attractors for nonautonomous equations. II: Applications to reaction-diffusion systems. Zbl 1298.35019
2011
Asymptotic behavior of solutions of semilinear elliptic equations in unbounded domains: two approaches. Zbl 1226.35034
Efendiev, Messoud; Hamel, François
2011
Finite and infinite dimensional attractors for evolution equations of mathematical physics. Zbl 1233.37002
Efendiev, Messoud
2010
Quasilinear elliptic equations on half- and quarter-spaces. Zbl 1278.35102
Dancer, E. N.; Du, Yihong; Efendiev, Messoud
2013
A transient density-dependent diffusion-reaction model for the limitation of antibiotic penetration in biofilms. Zbl 1014.92039
Eberl, Hermann J.; Efendiev, Messoud A.
2003
Nonlinear Riemann-Hilbert problems without transversality. Zbl 0876.45003
Efendiev, M. A.; Wendland, Wolfgang L.
1997
Uniform estimate of dimension of the global attractor for a semi-discretized chemotaxis-growth system. Zbl 1163.37396
Efendiev, M.; Nakaguchi, E.; Wendland, W. L.
2007
Relaxed model for the hysteresis in micromagnetism. Zbl 1167.82370
Carbou, G.; Efendiev, M. A.; Fabrie, P.
2009
Nonlinear Riemann-Hilbert problems for generalized analytic functions. Zbl 1192.30010
Efendiev, Messoud A.; Wendland, Wolfgang L.
2009
Hardy spaces for the conjugated Beltrami equation in a doubly connected domain. Zbl 1222.42026
Efendiev, Messoud; Russ, Emmanuel
2011
On the well posedness of a class of PDEs including porous medium and chemotaxis effect. Zbl 1231.35088
Efendiev, Messoud; Senba, Takasi
2011
On a ‘balance’ condition for a class of PDEs including porous medium and chemotaxis effect: non-autonomous case. Zbl 1239.35079
Efendiev, Messoud; Zhigun, Anna
2011
The finite dimensional attractor for a 4th order system of Cahn-Hilliard type with a supercritical nonlinearity. Zbl 1035.35019
Efendiev, M. A.; Gajewski, H.; Zelik, S.
2002
On the compactness of the stable set for rate-independent processes. Zbl 1060.47061
Efendiev, M. A.
2003
Nonlinear Riemann-Hilbert problems with Lipschitz-continuous boundary data: doubly connected domains. Zbl 1099.30028
Efendiev, M. A.; Wendland, W. L.
2003
Dimension estimate of the exponential attractor for the chemotaxis-growth system. Zbl 1158.35017
Efendiev, Messoud; Nakaguchi, Etsushi; Osaki, Koichi
2008
On the well-posedness of mathematical models for multicomponent biofilms. Zbl 1335.35259
Sonner, Stefanie; Efendiev, Messoud A.; Eberl, Hermann J.
2015
Nonlinear Riemann-Hilbert problems with Lipschitz continuous boundary condition. Zbl 0958.35097
Wegert, E.; Efendiev, M. A.
2000
On some nonlinear potential problems. Zbl 0923.35058
Efendiev, M. A.; Schmitz, Hermann; Wendland, Wolfgang L.
1999
On the structure of attractors for a class of degenerate reaction-diffusion systems. Zbl 1172.35037
Efendiev, M. A.; Demaret, L.
2008
On an ODE-PDE coupling model of the mitochondrial swelling process. Zbl 1307.35045
Eisenhofer, Sabine; Efendiev, Messoud A.; Ôtani, Mitsuharu; Schulz, Sabine; Zischka, Hans
2015
Upper and lower estimate of dimension of the global attractor for the chemotaxis-growth system. II: Two-dimensional case. Zbl 1130.37403
Efendiev, Messoud; Nakaguchi, Etsushi
2006
On the large time behavior of solutions of fourth order parabolic equations and $$\varepsilon$$-entropy of their attractors. Zbl 1109.35019
Efendiev, M. A.; Peletier, L. A.
2007
A functional partial differential equation arising in a cell growth model with dispersion. Zbl 1390.35117
Efendiev, Messoud; van Brunt, Bruce; Wake, Graeme C.; Zaidi, Ali Ashher
2018
New models of Cahn-Hilliard-Gurtin equations. Zbl 1100.74003
Efendiev, M.; Miranville, A.
2004
On verifying mathematical models with diffusion, transport and interaction. Zbl 1219.35016
Efendiev, Messoud; Sonner, Stefanie
2010
Infinite dimensional attractors for porous medium equations in heterogeneous medium. Zbl 1250.76158
Efendiev, Messoud
2012
Analysis of a degenerate biofilm model with a nutrient taxis term. Zbl 1277.35225
Eberl, Hermann J.; Efendiev, Messoud A.; Wrzosek, Dariusz; Zhigun, Anna
2014
On the positivity of solutions of systems of stochastic PDEs. Zbl 1278.60101
Cresson, Jacky; Efendiev, Messoud; Sonner, Stefanie
2013
Classification of positive solutions of semilinear elliptic equations. Zbl 1048.35020
Busca, Jérôme; Efendiev, Messoud; Zelik, S.
2004
A simple bioclogging model that accounts for spatial spreading of bacteria. Zbl 1170.35466
Demaret, Laurent; Eberl, Hermann J.; Efendiev, Messoud A.; Maloszewski, Piotr
2009
Upper and lower estimate of dimension of the global attractor for the chemotaxis-growth system. I. Zbl 1130.37402
Efendiev, Messoud; Nakaguchi, Etsushi
2006
How spatial heterogeneity affects transient behavior in reaction-diffusion systems for ecological interactions? Zbl 1437.92161
Wang, Xiaoying; Efendiev, Messoud; Lutscher, Frithjof
2019
Asymmetric cell division with stochastic growth rate. dedicated to the memory of the late Spartak Agamirzayev. Zbl 1405.35070
Efendiev, Messoud; van Brunt, Bruce; Zaidi, Ali A.; Shah, Touqeer H.
2018
Analysis of a PDE model of the swelling of mitochondria accounting for spatial movement. Zbl 1387.35335
Efendiev, Messoud A.; Ôtani, Mitsuharu; Eberl, Hermann J.
2018
Mathematical analysis of an in vivo model of mitochondrial swelling. Zbl 1360.35024
Efendiev, Messoud; Ôtani, Mitsuharu; Eberl, Hermann J.
2017
Dimension estimate of the global attractor for a semi-discretized chemotaxis-growth system by conservative upwind finite-element scheme. Zbl 1172.92311
Efendiev, Messoud; Nakaguchi, Etsushi; Wendland, Wolfgang L.
2009
On a property of conjugate integrals and nonlinear Hilbert problem with non-compact conditions in the disk. Zbl 0588.30040
Èfendiev, M. A.
1984
Infinite-dimensional exponential attractors for fourth-order nonlinear parabolic equations in unbounded domains. Zbl 1218.35044
Efendiev, Messoud
2011
On a weak attractor of a class of PDEs with degenerate diffusion and chemotaxis. Zbl 1348.35036
Efendiev, Messoud; Zhigun, Anna; Senba, Takasi
2014
On a global uniform pull-back attractor of a class of PDEs with degenerate diffusion and chemotaxis. Zbl 1302.35062
Efendiev, Messoud; Zhigun, Anna
2013
Solvability of some integro-differential equations with drift. Zbl 07196677
Efendiev, Messoud; Vougalter, Vitali
2020
Upper and lower bounds for the Hausdorff dimension of the attractor for reaction-diffusion equations in $$\mathbf R^n$$. Zbl 0951.35502
Efendiev, M. A.; Scheel, A.
1999
Thermically stable upscaling of an exothermic model reaction. (Thermisch stabiles Upscaling einer exothermen Modellreaktion.) Zbl 0867.76091
Fiedler, B.; Efendiev, M.; Schuppert, A.
1997
Upscaling of some exothermic reactions from chemical industry. Zbl 0887.92033
Efendiev, M. A.; Fiedler, B.; Schuppert, A.
1996
Nonlinear Riemann-Hilbert problems with Lipschitz-continuous boundary data without transversality. Zbl 1042.30506
Efendiev, M. A.; Wendland, W. L.
2001
The long-time behaviour of the thermoconvective flow in a porous medium. Zbl 1156.37323
Efendiev, M. A.; Fuhrmann, J.; Zelik, S. V.
2004
New generalizations of the Cahn-Hilliard equation based on a microforce balance. Zbl 1095.74004
Miranville, Alain; Efendiev, Messoud
2003
Dynamical approach for positive solutions of semilinear elliptic problems in unbounded domains. Zbl 1107.35349
Berestycki, H.; Efendiev, M.; Zelik, S.
2004
Necessary and sufficient conditions for an infinite system of parabolic equations preserving the positive cone. Zbl 1320.35349
Efendiev, M. A.; Lasser, R.; Sonner, S.
2010
A note on attractors with finite fractal dimension. Zbl 1152.37031
2008
On boundary-layer-type solutions of nonlinear Riemann-Hilbert problems and related geometric structures. Zbl 1004.30027
Efendiev, M. A.; Wendland, W. L.
2002
Fredholm structures, topological invariant and applications. Zbl 1189.47001
Efendiev, Messoud
2009
On a global uniform pullback attractor of a class of PDEs with degenerate diffusion and chemotaxis in one dimension. Zbl 1314.35004
Efendiev, Messoud; Zhigun, Anna
2013
Geometrical properties of nonlinear maps and their application. I: The topological degree of quasiruled Fredholm maps on quasicylindrical domains. Zbl 1108.47052
Efendiev, M. A.; Wendland, W. L.
2007
Geometrical properties of nonlinear maps and their application. II: Nonlinear Riemann–Hilbert problems with closed boundary data for multiply connected domains. Zbl 1108.47053
Efendiev, M. A.; Wendland, W. L.
2007
Comparison of approximation schemes for chemotaxis-growth system via dimensions of global attractors. Zbl 1158.92045
Nakaguchi, Etsushi; Efendiev, Messoud; Wendland, Wolfgang L.
2008
On a new variant degree theory of mapping and its application. Zbl 0851.47042
Efendiev, M. A.
1996
Mathematical analysis of a PDE-ODE coupled model of mitochondrial swelling with degenerate calcium ion diffusion. Zbl 1429.35139
Efendiev, Messoud A.; Otani, Mitsuharu; Eberl, Hermann J.
2020
“Topologically nontrivial” and meromorphic solutions of a nonlinear Hilbert problem for a multiply connected domain. Zbl 0529.30035
Èfendiev, M. A.
1982
On a property of the conjugate integral, and a nonlinear Hilbert problem. Zbl 0639.30036
Èfendiev, M. A.
1987
Non-linear Hilbert problem for meromorphic functions in the disk. Zbl 0358.30027
Èfendiev, M. A.
1976
Dimension estimate of the exponential attractor for the chemotaxis-growth system. Zbl 1113.92008
Efendiev, Messoud; Kläre, Michael; Lasser, Rupert
2007
On nonlinear Riemann-Hilbert problems with discontinuous boundary condition. Zbl 1162.30026
Efendiev, M. A.; Wendland, W. L.
2007
Exponential attractor for an adsorbate-induced phase transition model in non smooth domain. Zbl 1135.37030
Takei, Yasuhiro; Efendiev, Messoud; Tsujikawa, Tohru; Yagi, Atsushi
2006
Solvability in the sense of sequences for some fourth order non-Fredholm operators. Zbl 1455.35075
Efendiev, Messoud; Vougalter, Vitali
2021
Solvability in the sense of sequences for some fourth order non-Fredholm operators. Zbl 1455.35075
Efendiev, Messoud; Vougalter, Vitali
2021
Solvability of some integro-differential equations with drift. Zbl 07196677
Efendiev, Messoud; Vougalter, Vitali
2020
Mathematical analysis of a PDE-ODE coupled model of mitochondrial swelling with degenerate calcium ion diffusion. Zbl 1429.35139
Efendiev, Messoud A.; Otani, Mitsuharu; Eberl, Hermann J.
2020
How spatial heterogeneity affects transient behavior in reaction-diffusion systems for ecological interactions? Zbl 1437.92161
Wang, Xiaoying; Efendiev, Messoud; Lutscher, Frithjof
2019
A functional partial differential equation arising in a cell growth model with dispersion. Zbl 1390.35117
Efendiev, Messoud; van Brunt, Bruce; Wake, Graeme C.; Zaidi, Ali Ashher
2018
Asymmetric cell division with stochastic growth rate. dedicated to the memory of the late Spartak Agamirzayev. Zbl 1405.35070
Efendiev, Messoud; van Brunt, Bruce; Zaidi, Ali A.; Shah, Touqeer H.
2018
Analysis of a PDE model of the swelling of mitochondria accounting for spatial movement. Zbl 1387.35335
Efendiev, Messoud A.; Ôtani, Mitsuharu; Eberl, Hermann J.
2018
Mathematical modeling of mitochondrial swelling. Zbl 1406.92003
Efendiev, Messoud
2018
Mathematical analysis of an in vivo model of mitochondrial swelling. Zbl 1360.35024
Efendiev, Messoud; Ôtani, Mitsuharu; Eberl, Hermann J.
2017
On the well-posedness of mathematical models for multicomponent biofilms. Zbl 1335.35259
Sonner, Stefanie; Efendiev, Messoud A.; Eberl, Hermann J.
2015
On an ODE-PDE coupling model of the mitochondrial swelling process. Zbl 1307.35045
Eisenhofer, Sabine; Efendiev, Messoud A.; Ôtani, Mitsuharu; Schulz, Sabine; Zischka, Hans
2015
Analysis of a degenerate biofilm model with a nutrient taxis term. Zbl 1277.35225
Eberl, Hermann J.; Efendiev, Messoud A.; Wrzosek, Dariusz; Zhigun, Anna
2014
On a weak attractor of a class of PDEs with degenerate diffusion and chemotaxis. Zbl 1348.35036
Efendiev, Messoud; Zhigun, Anna; Senba, Takasi
2014
Evolution equations arising in the modelling of life sciences. Zbl 1276.92003
Efendiev, Messoud
2013
Attractors for degenerate parabolic type equations. Zbl 1292.35003
Efendiev, Messoud
2013
Quasilinear elliptic equations on half- and quarter-spaces. Zbl 1278.35102
Dancer, E. N.; Du, Yihong; Efendiev, Messoud
2013
On the positivity of solutions of systems of stochastic PDEs. Zbl 1278.60101
Cresson, Jacky; Efendiev, Messoud; Sonner, Stefanie
2013
On a global uniform pull-back attractor of a class of PDEs with degenerate diffusion and chemotaxis. Zbl 1302.35062
Efendiev, Messoud; Zhigun, Anna
2013
On a global uniform pullback attractor of a class of PDEs with degenerate diffusion and chemotaxis in one dimension. Zbl 1314.35004
Efendiev, Messoud; Zhigun, Anna
2013
Infinite dimensional attractors for porous medium equations in heterogeneous medium. Zbl 1250.76158
Efendiev, Messoud
2012
Pullback exponential attractors for nonautonomous equations. I: Semilinear parabolic problems. Zbl 1233.35041
2011
Exponential attractors for non-autonomous dissipative system. Zbl 1218.37111
Efendiev, Messoud; Yamamoto, Yoshitaka; Yagi, Atsushi
2011
Global weak solutions for the Landau-Lifschitz equation with magnetostriction. Zbl 1219.35297
Carbou, G.; Efendiev, M. A.; Fabrie, P.
2011
Infinite-dimensional attractors for parabolic equations with $$p$$-Laplacian in heterogeneous medium. Zbl 1242.35159
Efendiev, Messoud A.; Ôtani, Mitsuharu
2011
On the well-posedness of a mathematical model of quorum-sensing in patchy biofilm communities. Zbl 1221.35214
Sonner, Stefanie; Efendiev, Messoud A.; Eberl, Hermann J.
2011
Pullback exponential attractors for nonautonomous equations. II: Applications to reaction-diffusion systems. Zbl 1298.35019
2011
Asymptotic behavior of solutions of semilinear elliptic equations in unbounded domains: two approaches. Zbl 1226.35034
Efendiev, Messoud; Hamel, François
2011
Hardy spaces for the conjugated Beltrami equation in a doubly connected domain. Zbl 1222.42026
Efendiev, Messoud; Russ, Emmanuel
2011
On the well posedness of a class of PDEs including porous medium and chemotaxis effect. Zbl 1231.35088
Efendiev, Messoud; Senba, Takasi
2011
On a ‘balance’ condition for a class of PDEs including porous medium and chemotaxis effect: non-autonomous case. Zbl 1239.35079
Efendiev, Messoud; Zhigun, Anna
2011
Infinite-dimensional exponential attractors for fourth-order nonlinear parabolic equations in unbounded domains. Zbl 1218.35044
Efendiev, Messoud
2011
Finite and infinite dimensional attractors for evolution equations of mathematical physics. Zbl 1233.37002
Efendiev, Messoud
2010
On verifying mathematical models with diffusion, transport and interaction. Zbl 1219.35016
Efendiev, Messoud; Sonner, Stefanie
2010
Necessary and sufficient conditions for an infinite system of parabolic equations preserving the positive cone. Zbl 1320.35349
Efendiev, M. A.; Lasser, R.; Sonner, S.
2010
Existence and longtime behavior of a biofilm model. Zbl 1175.35017
Efendiev, Messoud A.; Zelik, Sergey; Eberl, Hermann J.
2009
Finite-dimensional attractors and exponential attractors for degenerate doubly nonlinear equations. Zbl 1178.34060
Efendiev, M.; Zelik, S.
2009
A degenerate diffusion-reaction model of an amensalistic biofilm control system: existence and simulation of solutions. Zbl 1183.35160
Khassehkhan, Hassan; Efendiev, Messoud A.; Eberl, Hermann J.
2009
Relaxed model for the hysteresis in micromagnetism. Zbl 1167.82370
Carbou, G.; Efendiev, M. A.; Fabrie, P.
2009
Nonlinear Riemann-Hilbert problems for generalized analytic functions. Zbl 1192.30010
Efendiev, Messoud A.; Wendland, Wolfgang L.
2009
A simple bioclogging model that accounts for spatial spreading of bacteria. Zbl 1170.35466
Demaret, Laurent; Eberl, Hermann J.; Efendiev, Messoud A.; Maloszewski, Piotr
2009
Dimension estimate of the global attractor for a semi-discretized chemotaxis-growth system by conservative upwind finite-element scheme. Zbl 1172.92311
Efendiev, Messoud; Nakaguchi, Etsushi; Wendland, Wolfgang L.
2009
Fredholm structures, topological invariant and applications. Zbl 1189.47001
Efendiev, Messoud
2009
Finite- and infinite-dimensional attractors for porous media equations. Zbl 1132.37027
Efendiev, M.; Zelik, S.
2008
Analysis and simulation of a meso-scale model of diffusive resistance of bacterial biofilms to penetration of antibiotics. Zbl 1166.35341
Demaret, Laurent; Eberl, Hermann; Efendiev, Messoud; Lasser, Ruppert
2008
On a new dimension estimate of the global attractor for chemotaxis-growth systems. Zbl 1160.37034
Nakaguchi, Etsushi; Efendiev, Messoud
2008
Dimension estimate of the exponential attractor for the chemotaxis-growth system. Zbl 1158.35017
Efendiev, Messoud; Nakaguchi, Etsushi; Osaki, Koichi
2008
On the structure of attractors for a class of degenerate reaction-diffusion systems. Zbl 1172.35037
Efendiev, M. A.; Demaret, L.
2008
A note on attractors with finite fractal dimension. Zbl 1152.37031
2008
Comparison of approximation schemes for chemotaxis-growth system via dimensions of global attractors. Zbl 1158.92045
Nakaguchi, Etsushi; Efendiev, Messoud; Wendland, Wolfgang L.
2008
Infinite-dimensional attractors for evolution equations with $$p$$-Laplacian and their Kolmogorov entropy. Zbl 1212.37081
Efendiev, Messoud A.; Ôtani, Mitsuharu
2007
Uniform estimate of dimension of the global attractor for a semi-discretized chemotaxis-growth system. Zbl 1163.37396
Efendiev, M.; Nakaguchi, E.; Wendland, W. L.
2007
On the large time behavior of solutions of fourth order parabolic equations and $$\varepsilon$$-entropy of their attractors. Zbl 1109.35019
Efendiev, M. A.; Peletier, L. A.
2007
Geometrical properties of nonlinear maps and their application. I: The topological degree of quasiruled Fredholm maps on quasicylindrical domains. Zbl 1108.47052
Efendiev, M. A.; Wendland, W. L.
2007
Geometrical properties of nonlinear maps and their application. II: Nonlinear Riemann–Hilbert problems with closed boundary data for multiply connected domains. Zbl 1108.47053
Efendiev, M. A.; Wendland, W. L.
2007
Dimension estimate of the exponential attractor for the chemotaxis-growth system. Zbl 1113.92008
Efendiev, Messoud; Kläre, Michael; Lasser, Rupert
2007
On nonlinear Riemann-Hilbert problems with discontinuous boundary condition. Zbl 1162.30026
Efendiev, M. A.; Wendland, W. L.
2007
On the rate-independent limit of systems with dry friction and small viscosity. Zbl 1109.74040
Efendiev, Messoud A.; Mielke, Alexander
2006
Lower estimate of the attractor dimension for a chemotaxis growth system. Zbl 1125.37056
Aida, Masashi; Tsujikawa, Tohru; Efendiev, Messoud; Yagi, Atsushi; Mimura, Masayasu
2006
Upper and lower estimate of dimension of the global attractor for the chemotaxis-growth system. II: Two-dimensional case. Zbl 1130.37403
Efendiev, Messoud; Nakaguchi, Etsushi
2006
Upper and lower estimate of dimension of the global attractor for the chemotaxis-growth system. I. Zbl 1130.37402
Efendiev, Messoud; Nakaguchi, Etsushi
2006
Exponential attractor for an adsorbate-induced phase transition model in non smooth domain. Zbl 1135.37030
Takei, Yasuhiro; Efendiev, Messoud; Tsujikawa, Tohru; Yagi, Atsushi
2006
Exponential attractors and finite-dimensional reduction for non-autonomous dynamical systems. Zbl 1088.37005
Efendiev, M.; Zelik, S.; Miranville, A.
2005
Quasilinear abstract parabolic evolution equations and exponential attractors. Zbl 1073.37090
Aida, Masashi; Efendiev, Messoud; Yagi, Atsushi
2005
Continuous dependence on a parameter of exponential attractors for chemotaxis-growth system. Zbl 1065.37056
Efendiev, Messoud; Yagi, Atsushi
2005
Exponential attractors for a singularly perturbed Cahn-Hilliard system. Zbl 1046.37047
Efendiev, Messoud; Miranville, Alain; Zelik, Sergey
2004
Infinite-dimensional exponential attractors for nonlinear reaction-diffusion systems in unbounded domains and their approximation. Zbl 1072.35045
Efendiev, M.; Miranville, A.; Zelik, S.
2004
Global and exponential attractors for nonlinear reaction-diffusion systems in unbounded domains. Zbl 1149.37328
Efendiev, M.; Miranville, A.; Zelik, S.
2004
New models of Cahn-Hilliard-Gurtin equations. Zbl 1100.74003
Efendiev, M.; Miranville, A.
2004
Classification of positive solutions of semilinear elliptic equations. Zbl 1048.35020
Busca, Jérôme; Efendiev, Messoud; Zelik, S.
2004
The long-time behaviour of the thermoconvective flow in a porous medium. Zbl 1156.37323
Efendiev, M. A.; Fuhrmann, J.; Zelik, S. V.
2004
Dynamical approach for positive solutions of semilinear elliptic problems in unbounded domains. Zbl 1107.35349
Berestycki, H.; Efendiev, M.; Zelik, S.
2004
The regular attractor for the reaction-diffusion system with a nonlinearity rapidly oscillating in time and its averaging. Zbl 1030.35016
Efendiev, M.; Zelik, S.
2003
Infinite dimensional exponential attractors for a non-autonomous reaction-diffusion system. Zbl 1025.37043
Efendiev, Messoud; Miranville, Alain; Zelik, Sergey
2003
The dimension of the global attractor for dissipative reaction-diffusion systems. Zbl 1041.37039
Efendiev, M.; Miranville, A.
2003
A transient density-dependent diffusion-reaction model for the limitation of antibiotic penetration in biofilms. Zbl 1014.92039
Eberl, Hermann J.; Efendiev, Messoud A.
2003
On the compactness of the stable set for rate-independent processes. Zbl 1060.47061
Efendiev, M. A.
2003
Nonlinear Riemann-Hilbert problems with Lipschitz-continuous boundary data: doubly connected domains. Zbl 1099.30028
Efendiev, M. A.; Wendland, W. L.
2003
New generalizations of the Cahn-Hilliard equation based on a microforce balance. Zbl 1095.74004
Miranville, Alain; Efendiev, Messoud
2003
Attractors of the reaction-diffusion systems with rapidly oscillating coefficients and their homogenization. Zbl 1036.35038
Efendiev, M.; Zelik, S.
2002
Upper and lower bounds for the Kolmogorov entropy of the attractor for the RDE in an unbounded domain. Zbl 1258.35036
Efendiev, M. A.; Zelik, S. V.
2002
The finite dimensional attractor for a 4th order system of Cahn-Hilliard type with a supercritical nonlinearity. Zbl 1035.35019
Efendiev, M. A.; Gajewski, H.; Zelik, S.
2002
On boundary-layer-type solutions of nonlinear Riemann-Hilbert problems and related geometric structures. Zbl 1004.30027
Efendiev, M. A.; Wendland, W. L.
2002
The attractor for a nonlinear reaction-diffusion system in an unbounded domain. Zbl 1041.35016
Efendiev, M. A.; Zelik, S. V.
2001
Nonlinear Riemann-Hilbert problems for doubly connected domains and closed boundary data. Zbl 1029.30024
Efendiev, M. A.; Wendland, W. L.
2001
Nonlinear Riemann-Hilbert problems with Lipschitz-continuous boundary data without transversality. Zbl 1042.30506
Efendiev, M. A.; Wendland, W. L.
2001
Exponential attractors for a nonlinear reaction-diffusion system in $$\mathbb R^3$$. Zbl 1151.35315
Efendiev, Messoud; Miranville, Alain; Zelik, Sergey
2000
Hausdorff dimension estimation for attractors of nonautonomous dynamical systems in unbounded domains: An example. Zbl 1022.37048
Chepyzhov, V. V.; Efendiev, M. A.
2000
Nonlinear Riemann-Hilbert problems with Lipschitz continuous boundary condition. Zbl 0958.35097
Wegert, E.; Efendiev, M. A.
2000
Finite-dimensional attractors for reaction-diffusion equations in $$\mathbb{R}^n$$ with a strong nonlinearity. Zbl 0959.35025
Efendiev, Messoud; Miranville, Alain
1999
On the asymptotics of meromophic solutions for nonlinear Riemann-Hilbert problems. Zbl 0949.35105
Begehr, H.; Efendiev, M. A.
1999
On some nonlinear potential problems. Zbl 0923.35058
Efendiev, M. A.; Schmitz, Hermann; Wendland, Wolfgang L.
1999
Upper and lower bounds for the Hausdorff dimension of the attractor for reaction-diffusion equations in $$\mathbf R^n$$. Zbl 0951.35502
Efendiev, M. A.; Scheel, A.
1999
Nonlinear Riemann-Hilbert problems without transversality. Zbl 0876.45003
Efendiev, M. A.; Wendland, Wolfgang L.
1997
Thermically stable upscaling of an exothermic model reaction. (Thermisch stabiles Upscaling einer exothermen Modellreaktion.) Zbl 0867.76091
Fiedler, B.; Efendiev, M.; Schuppert, A.
1997
Nonlinear Riemann-Hilbert problems for multiply connected domains. Zbl 0926.47040
Efendiev, M. A.; Wendland, Wolfgang L.
1996
Upscaling of some exothermic reactions from chemical industry. Zbl 0887.92033
Efendiev, M. A.; Fiedler, B.; Schuppert, A.
1996
On a new variant degree theory of mapping and its application. Zbl 0851.47042
Efendiev, M. A.
1996
On a property of the conjugate integral, and a nonlinear Hilbert problem. Zbl 0639.30036
Èfendiev, M. A.
1987
A nonlinear Hilbert problem for a doubly connected domain. Zbl 0617.30050
Maksudov, F. G.; Èfendiev, M. A.
1987
On a property of conjugate integrals and nonlinear Hilbert problem with non-compact conditions in the disk. Zbl 0588.30040
Èfendiev, M. A.
1984
...and 2 more Documents
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#### Cited by 539 Authors

 31 Efendiev, Messoud 25 Miranville, Alain M. 25 Zelik, Sergey V. 21 Zhong, Chengkui 16 Grasselli, Maurizio 13 Eberl, Hermann J. 12 Gal, Ciprian Gheorghe Sorin 12 Zhou, Shengfan 11 Chepyzhov, Vladimir V. 11 Rossi, Riccarda 11 Sun, Chunyou 10 Pata, Vittorino 10 Sonner, Stefanie 9 Mielke, Alexander 7 Yang, Zhijian 6 Cholewa, Jan W. 6 Gatti, Stefania 6 Knees, Dorothee 6 Li, Xiaojun 6 Pražák, Dalibor 6 Vishik, Marko Iosifovich 6 Winkler, Michael 6 You, Bo 6 Yue, Gaocheng 6 Zanini, Chiara 6 Zhang, Jin 5 Bonfoh, Ahmed S. 5 Černe, Miran 5 Cherfils, Laurence 5 Czaja, Radosław 5 Ghasemi, Maryam 5 Rodríguez-Bernal, Aníbal 5 Shomberg, Joseph L. 5 Tsujikawa, Tohru 5 Viglialoro, Giuseppe 5 Wendland, Wolfgang L. 5 Wu, Hao 4 Arrieta, José M. 4 Benzakour Amine, M. 4 Chechkin, Gregory Aleksandrovich 4 D’Acunto, Berardino 4 Dal Maso, Gianni 4 Dlotko, Tomasz W. 4 Fakih, Hussein 4 Kovtunenko, Viktor Anatolievich 4 Li, Yongjun 4 Niu, Weisheng 4 Nolasco de Carvalho, Alexandre 4 Ôtani, Mitsuharu 4 Phan, Chi 4 Roubíček, Tomáš 4 Salieva, Olga Alekseevna 4 Savaré, Giuseppe 4 Solombrino, Francesco 4 Valero, José 4 Yan, Xingjie 4 Yang, Lu 4 Yang, Meihua 4 Zhigun, Anna 3 Akhmouch, M. 3 Bekmaganbetov, Kuanysh Abdrakhmanovich 3 Cantin, Guillaume 3 Caraballo Garrido, Tomás 3 Conti, Monica C. 3 Crismale, Vito 3 DeSimone, Antonio 3 Ding, Pengyan 3 Dubey, Shruti A. 3 Dwivedi, Sharad 3 Frunzo, Luigi 3 Galakhov, Evgeniĭ Igorevich 3 Gorban, Nataliia V. 3 Guo, Boling 3 Guo, Shangjiang 3 Ibrahim, Hassan 3 Izuhara, Hirofumi 3 Kalantarov, Varga K. 3 Kloeden, Peter Eris 3 Kuto, Kousuke 3 Lazzaroni, Giuliano 3 Li, Fang 3 Li, Yanan 3 Liu, Cuncai 3 Mattei, Maria Rosaria 3 Meng, Fengjuan 3 Nakaguchi, Etsushi 3 Osaki, Koichi 3 Painter, Kevin J. 3 Pierre, Morgan 3 Scala, Riccardo 3 Schimperna, Giulio 3 Schlömerkemper, Anja 3 Segatti, Antonio 3 Semmler, Gunter 3 Stefanelli, Ulisse 3 Tilioua, Mouhcine 3 Warma, Mahamadi 3 Wegert, Elias 3 Yagi, Atsushi 3 You, Yuncheng ...and 439 more Authors
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#### Cited in 166 Serials

 28 Journal of Mathematical Analysis and Applications 25 Journal of Differential Equations 25 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 21 Discrete and Continuous Dynamical Systems. Series B 19 Discrete and Continuous Dynamical Systems 16 Mathematical Methods in the Applied Sciences 13 Nonlinear Analysis. Real World Applications 13 Communications on Pure and Applied Analysis 9 Applicable Analysis 9 Journal of Dynamics and Differential Equations 8 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 Calculus of Variations and Partial Differential Equations 7 Journal of Evolution Equations 6 Bulletin of Mathematical Biology 6 Discrete and Continuous Dynamical Systems. Series S 5 Computers & Mathematics with Applications 5 Applied Mathematics and Optimization 5 Journal of Computational and Applied Mathematics 5 Quarterly of Applied Mathematics 5 Physica D 5 Applied Mathematics Letters 5 European Journal of Applied Mathematics 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Journal of Applied Analysis and Computation 4 Archive for Rational Mechanics and Analysis 4 Mathematical Biosciences 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Applied Mathematics and Computation 4 Transactions of the American Mathematical Society 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 SIAM Journal on Mathematical Analysis 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Journal of Nonlinear Science 4 Journal of Mathematical Fluid Mechanics 4 Acta Mathematica Sinica. English Series 4 Complex Variables and Elliptic Equations 4 Journal of Theoretical Biology 3 Journal of Mathematical Physics 3 Nonlinearity 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Chaos, Solitons and Fractals 3 Glasgow Mathematical Journal 3 Mathematische Nachrichten 3 Osaka Journal of Mathematics 3 Proceedings of the American Mathematical Society 3 Journal of Scientific Computing 3 Continuum Mechanics and Thermodynamics 3 Abstract and Applied Analysis 3 Discrete Dynamics in Nature and Society 3 Computational Methods and Function Theory 3 Central European Journal of Mathematics 3 Mathematical Biosciences and Engineering 3 Evolution Equations and Control Theory 3 Journal of Elliptic and Parabolic Equations 2 Communications in Mathematical Physics 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Mathematical Biology 2 Mathematical Notes 2 Calcolo 2 Journal of the Mathematical Society of Japan 2 Zeitschrift für Analysis und ihre Anwendungen 2 Asymptotic Analysis 2 Applications of Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Applied Mathematics 2 Journal of Mathematical Sciences (New York) 2 Electronic Journal of Differential Equations (EJDE) 2 NoDEA. Nonlinear Differential Equations and Applications 2 Mathematical Problems in Engineering 2 Differential Equations and Dynamical Systems 2 Journal of the European Mathematical Society (JEMS) 2 Communications in Nonlinear Science and Numerical Simulation 2 Dynamical Systems 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Stochastics and Dynamics 2 Milan Journal of Mathematics 2 Analysis and Applications (Singapore) 2 Advances in Nonlinear Analysis 2 Journal of Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Acta Mechanica 1 Bulletin of the Australian Mathematical Society 1 Communications on Pure and Applied Mathematics 1 International Journal of Engineering Science 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Journal of the Franklin Institute 1 Problems of Information Transmission 1 The Annals of Probability 1 Czechoslovak Mathematical Journal 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Approximation Theory 1 Kybernetika 1 Mathematische Annalen 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Ricerche di Matematica 1 Transactions of the Moscow Mathematical Society 1 Topology and its Applications ...and 66 more Serials
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#### Cited in 34 Fields

 417 Partial differential equations (35-XX) 143 Dynamical systems and ergodic theory (37-XX) 86 Biology and other natural sciences (92-XX) 61 Mechanics of deformable solids (74-XX) 42 Fluid mechanics (76-XX) 31 Numerical analysis (65-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 25 Ordinary differential equations (34-XX) 22 Operator theory (47-XX) 22 Statistical mechanics, structure of matter (82-XX) 20 Functions of a complex variable (30-XX) 13 Probability theory and stochastic processes (60-XX) 12 Classical thermodynamics, heat transfer (80-XX) 9 Computer science (68-XX) 9 Optics, electromagnetic theory (78-XX) 6 Integral equations (45-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Systems theory; control (93-XX) 3 Measure and integration (28-XX) 3 Potential theory (31-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Approximations and expansions (41-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX)

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