# zbMATH — the first resource for mathematics

## Bátkai, András

Compute Distance To:
 Author ID: batkai.andras Published as: Bátkai, A.; Bátkai, András External Links: MGP · Wikidata · ORCID · GND
 Documents Indexed: 31 Publications since 2001, including 3 Books Reviewing Activity: 35 Reviews
all top 5

#### Co-Authors

 2 single-authored 7 Csomós, Petra 6 Farkas, Bálint 5 Engel, Klaus-Jochen 4 Piazzera, Susanna 3 Nickel, Gregor 2 Fašanga, Eva 2 Kunszenti-Kovács, Dávid 2 Rhandi, Abdelaziz 2 Schnaubelt, Roland 2 Sikolya, Eszter 2 Simon, Peter L. 1 Binding, Paul Anthony 1 Bobrowski, Adam 1 Dijksma, Aad 1 Eisner, Tanja 1 Faragó, István 1 Groh, Ulrich 1 Haase, Markus 1 Havasi, Ágnes 1 Horányi, András 1 Horváth, Robert A. 1 Hryniv, Rostyslav O. 1 Jacob, Birgit 1 Kiss, István Z. 1 Kramar Fijavž, Marjeta 1 Langer, Heinz 1 Latushkin, Yuri 1 Maniar, Lahcen 1 Prüß, Jan Wilhelm 1 Schreiber, Marco 1 Shvydkoy, Roman V. 1 Szépszó, Gabriella 1 Voigt, Jurgen 1 Wintermayr, Jens
all top 5

#### Serials

 6 Semigroup Forum 2 Integral Equations and Operator Theory 2 Mathematische Nachrichten 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Journal of Mathematical Analysis and Applications 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Acta Scientiarum Mathematicarum 1 Archiv der Mathematik 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Studia Scientiarum Mathematicarum Hungarica 1 Journal of Computational Analysis and Applications 1 Journal of Evolution Equations 1 Central European Journal of Mathematics 1 Mathematics in Industry 1 Complex Analysis and Operator Theory 1 Networks and Heterogeneous Media 1 Operators and Matrices 1 Operator Theory: Advances and Applications
all top 5

#### Fields

 26 Operator theory (47-XX) 13 Ordinary differential equations (34-XX) 10 Partial differential equations (35-XX) 8 Numerical analysis (65-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

23 Publications have been cited 255 times in 222 Documents Cited by Year
Polynomial stability of operator semigroups. Zbl 1118.47034
Bátkai, András; Engel, Klaus-Jochen; Prüss, Jan; Schnaubelt, Roland
2006
Semigroups for delay equations. Zbl 1089.35001
Bátkai, András; Piazzera, Susanna
2005
Semigroups and linear partial differential equations with delay. Zbl 1003.34044
Bátkai, András; Piazzera, Susanna
2001
Positive operator semigroups. From finite to infinite dimensions. Zbl 1420.47001
Bátkai, András; Kramar Fijavž, Marjeta; Rhandi, Abdelaziz
2017
Spectral problems for operator matrices. Zbl 1103.47001
Bátkai, A.; Binding, P.; Dijksma, A.; Hryniv, R.; Langer, H.
2005
Abstract wave equations with generalized Wentzell boundary conditions. Zbl 1063.35104
Bátkai, András; Engel, Klaus-Jochen
2004
Operator splitting for non-autonomous evolution equations. Zbl 1232.65103
Bátkai, András; Csomós, Petra; Farkas, Bálint; Nickel, Gregor
2011
Regularity properties of perturbed Hille-Yosida operators and retarded differential equations. Zbl 1007.47016
Bátkai, András; Maniar, Lahcen; Rhandi, Abdelaziz
2002
Decomposition of operator semigroups on W$$^{\ast}$$-algebras. Zbl 1250.47043
Bátkai, András; Groh, Ulrich; Kunszenti-Kovács, Dávid; Schreiber, Marco
2012
Hyperbolicity of delay equations via Fourier multipliers. Zbl 1050.35120
Bátkai, A.; Fašanga, E.; Shvidkoy, R.
2003
Operator splitting for nonautonomous delay equations. Zbl 1319.65054
Bátkai, András; Csomós, Petra; Farkas, Bálint
2013
Operator splittings and spatial approximations for evolution equations. Zbl 1239.47031
Bátkai, András; Csomós, Petra; Nickel, Gregor
2009
Cosine families generated by second-order differential operators on W$$^{1,1}$$(0,1) with generalized Wentzell boundary conditions. Zbl 1107.47031
Bátkai, András; Engel, Klaus-Jochen; Haase, Markus
2005
Hyperbolicity of linear partial differential equations with delay. Zbl 1028.34072
Bátkai, András
2002
Operator splitting with spatial-temporal discretization. Zbl 1272.47091
Bátkai, András; Csomós, Petra; Farkas, Bálint; Nickel, Gregor
2012
Exponential decay of $$2\times 2$$ operator matrix semigroups. Zbl 1103.47030
Bátkai, András; Engel, Klaus-Jochen
2004
Differential equation approximations of stochastic network processes: an operator semigroup approach. Zbl 06147619
Bátkai, András; Kiss, Istvan Z.; Sikolya, Eszter; Simon, Péter L.
2012
A semigroup method for delay equations with relatively bounded operators in the delay term. Zbl 1007.47015
Bátkai, András; Piazzera, Susanna
2002
Damped wave equations with delay. Zbl 0979.47024
Bátkai, András; Piazzera, Susanna
2001
Perturbations of positive semigroups on AM-spaces. Zbl 06893038
Bátkai, András; Jacob, Birgit; Voigt, Jürgen; Wintermayr, Jens
2018
Mathematical problems in meteorological modelling. Contributions based on the presentations at the workshop, Budapest, Hungary, May 2014. Zbl 1353.86002
Bátkai, András (ed.); Csomós, Petra (ed.); Faragó, István (ed.); Horányi, András (ed.); Szépszó, Gabriella (ed.)
2016
On shape preserving semigroups. Zbl 1242.47033
2012
On the domain characterization of fractional powers of certain operator matrices generating analytic semigroups. Zbl 1064.47012
Bátkai, A.
2003
Perturbations of positive semigroups on AM-spaces. Zbl 06893038
Bátkai, András; Jacob, Birgit; Voigt, Jürgen; Wintermayr, Jens
2018
Positive operator semigroups. From finite to infinite dimensions. Zbl 1420.47001
Bátkai, András; Kramar Fijavž, Marjeta; Rhandi, Abdelaziz
2017
Mathematical problems in meteorological modelling. Contributions based on the presentations at the workshop, Budapest, Hungary, May 2014. Zbl 1353.86002
Bátkai, András (ed.); Csomós, Petra (ed.); Faragó, István (ed.); Horányi, András (ed.); Szépszó, Gabriella (ed.)
2016
Operator splitting for nonautonomous delay equations. Zbl 1319.65054
Bátkai, András; Csomós, Petra; Farkas, Bálint
2013
Decomposition of operator semigroups on W$$^{\ast}$$-algebras. Zbl 1250.47043
Bátkai, András; Groh, Ulrich; Kunszenti-Kovács, Dávid; Schreiber, Marco
2012
Operator splitting with spatial-temporal discretization. Zbl 1272.47091
Bátkai, András; Csomós, Petra; Farkas, Bálint; Nickel, Gregor
2012
Differential equation approximations of stochastic network processes: an operator semigroup approach. Zbl 06147619
Bátkai, András; Kiss, Istvan Z.; Sikolya, Eszter; Simon, Péter L.
2012
On shape preserving semigroups. Zbl 1242.47033
2012
Operator splitting for non-autonomous evolution equations. Zbl 1232.65103
Bátkai, András; Csomós, Petra; Farkas, Bálint; Nickel, Gregor
2011
Operator splittings and spatial approximations for evolution equations. Zbl 1239.47031
Bátkai, András; Csomós, Petra; Nickel, Gregor
2009
Polynomial stability of operator semigroups. Zbl 1118.47034
Bátkai, András; Engel, Klaus-Jochen; Prüss, Jan; Schnaubelt, Roland
2006
Semigroups for delay equations. Zbl 1089.35001
Bátkai, András; Piazzera, Susanna
2005
Spectral problems for operator matrices. Zbl 1103.47001
Bátkai, A.; Binding, P.; Dijksma, A.; Hryniv, R.; Langer, H.
2005
Cosine families generated by second-order differential operators on W$$^{1,1}$$(0,1) with generalized Wentzell boundary conditions. Zbl 1107.47031
Bátkai, András; Engel, Klaus-Jochen; Haase, Markus
2005
Abstract wave equations with generalized Wentzell boundary conditions. Zbl 1063.35104
Bátkai, András; Engel, Klaus-Jochen
2004
Exponential decay of $$2\times 2$$ operator matrix semigroups. Zbl 1103.47030
Bátkai, András; Engel, Klaus-Jochen
2004
Hyperbolicity of delay equations via Fourier multipliers. Zbl 1050.35120
Bátkai, A.; Fašanga, E.; Shvidkoy, R.
2003
On the domain characterization of fractional powers of certain operator matrices generating analytic semigroups. Zbl 1064.47012
Bátkai, A.
2003
Regularity properties of perturbed Hille-Yosida operators and retarded differential equations. Zbl 1007.47016
Bátkai, András; Maniar, Lahcen; Rhandi, Abdelaziz
2002
Hyperbolicity of linear partial differential equations with delay. Zbl 1028.34072
Bátkai, András
2002
A semigroup method for delay equations with relatively bounded operators in the delay term. Zbl 1007.47015
Bátkai, András; Piazzera, Susanna
2002
Semigroups and linear partial differential equations with delay. Zbl 1003.34044
Bátkai, András; Piazzera, Susanna
2001
Damped wave equations with delay. Zbl 0979.47024
Bátkai, András; Piazzera, Susanna
2001
all top 5

#### Cited by 283 Authors

 10 Jeribi, Aref 9 Nicaise, Serge 8 Lizama, Carlos 7 Engel, Klaus-Jochen 7 Fu, Xianlong 7 Maniar, Lahcen 6 Bátkai, András 5 Boulite, Said 5 Csomós, Petra 5 Liu, Zhuangyi 5 Muñoz Rivera, Jaime Edilberto 5 Peng, Jigen 5 Yan, Dongxue 4 Ammar, Aymen 4 Glück, Jochen 4 Hadd, Said 4 Liang, Jin 4 Paunonen, Lassi 4 Walha, Ines 4 Xiao, Ti-Jun 3 Bai, Meng 3 Batty, Charles J. K. 3 Bierkens, Joris 3 Charfi, Salma 3 Farkas, Bálint 3 Górajski, Mariusz 3 Idrissi, Abdelali 3 Jacob, Birgit 3 Mei, Zhandong 3 Mugnolo, Delio 3 Murillo-Arcila, Marina 3 Pignotti, Cristina 3 Poblete, Verónica 3 Quintanilla de Latorre, Ramón 3 Schnaubelt, Roland 3 Song, Xueli 3 Srivastava, Sachi 3 van Gaans, Onno Ward 3 Veltz, Romain 3 Xu, Shihe 3 Zhang, Qiong 3 Zhou, Jianjun 2 Adler, Martin 2 Ammari, Kais 2 Aouadi, Moncef 2 Arlotti, Luisa 2 Bombieri, Miriam 2 Borichev, Aleksandr Aleksandrovich 2 Carbone, Raffaella 2 Chen, Jianhua 2 Cuevas, Claudio 2 de la Llave, Rafael 2 de la Sen, Manuel 2 Esterle, Jean 2 Fernández Sare, Hugo D. 2 Keyantuo, Valentin 2 Kiss, István Z. 2 Klöss, Bernd 2 Kramar Fijavž, Marjeta 2 Krichen, Bilel 2 Liu, Kai 2 Liu, Kai 2 Nagel, Rainer J. 2 N’Guérékata, Gaston Mandata 2 Pokojovy, Michael 2 Rao, Bopeng 2 Rastogi, Shard 2 Rozendaal, Jan 2 Sasso, Emanuela 2 Seifert, David 2 Sikolya, Eszter 2 Simon, Peter L. 2 Stahn, Reinhard 2 Tebou, Louis T. 2 Tomilov, Yuri 2 Umanità, Veronica 2 Valdinoci, Enrico 2 Vogt, Hendrik 2 Voigt, Jurgen 2 Warnick, Claude M. 2 Wehbe, Ali 2 Yu, Xin 1 Abbas, Zainib Hatif 1 Agarwal, Ravi P. 1 Akil, Mohammad 1 Alkurdi, Taleb 1 Altmann, Robert 1 Alvarez-Pardo, Edgardo 1 Álvarez Seco, Teresa 1 Anh, Bui The 1 Anikushin, Mikhaĭl Mikhaĭlovich 1 Anikushyn, Andrii 1 Arendt, Wolfgang 1 Arhancet, Cédric 1 Athanasiadou, Evagelia S. 1 Avitabile, Daniele 1 Azizbayov, Elvin Ibrahim 1 Bai, Yu 1 Baroun, Mahmoud 1 Behrndt, Jussi ...and 183 more Authors
all top 5

#### Cited in 98 Serials

 24 Journal of Mathematical Analysis and Applications 11 Journal of Differential Equations 10 Semigroup Forum 10 Journal of Evolution Equations 8 Integral Equations and Operator Theory 8 Journal of Functional Analysis 8 Systems & Control Letters 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Applicable Analysis 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal of Mathematical Physics 4 Mathematical Methods in the Applied Sciences 3 Computers & Mathematics with Applications 3 Applied Mathematics and Computation 3 Transactions of the American Mathematical Society 3 Discrete and Continuous Dynamical Systems 3 Journal of Dynamical and Control Systems 3 Mediterranean Journal of Mathematics 2 Communications in Mathematical Physics 2 International Journal of Control 2 Advances in Mathematics 2 Applied Mathematics and Optimization 2 Journal of Computational and Applied Mathematics 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 SIAM Journal on Control and Optimization 2 MCSS. Mathematics of Control, Signals, and Systems 2 SIAM Journal on Mathematical Analysis 2 Mathematical Problems in Engineering 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Positivity 2 Communications in Nonlinear Science and Numerical Simulation 2 Discrete and Continuous Dynamical Systems. Series B 2 Communications on Pure and Applied Analysis 2 Evolution Equations and Control Theory 1 Bulletin of the Australian Mathematical Society 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Bulletin of Mathematical Biology 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 BIT 1 Czechoslovak Mathematical Journal 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 Quarterly of Applied Mathematics 1 Results in Mathematics 1 Siberian Mathematical Journal 1 Bulletin of the Korean Mathematical Society 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Theoretical Probability 1 Mathematical and Computer Modelling 1 International Journal of Mathematics 1 International Journal of Computer Mathematics 1 SIAM Review 1 Stochastic Processes and their Applications 1 International Journal of Robust and Nonlinear Control 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Potential Analysis 1 Arab Journal of Mathematical Sciences 1 Journal of Applied Analysis 1 Abstract and Applied Analysis 1 Taiwanese Journal of Mathematics 1 Annales Henri Poincaré 1 Journal of the Australian Mathematical Society 1 Computational Methods in Applied Mathematics 1 Advanced Nonlinear Studies 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 Advances in Difference Equations 1 The Australian Journal of Mathematical Analysis and Applications 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Journal of Biological Dynamics 1 Complex Analysis and Operator Theory 1 Networks and Heterogeneous Media 1 Operators and Matrices 1 Nonlinear Analysis. Hybrid Systems 1 Advances in Mathematical Physics 1 Science China. Mathematics 1 Journal of Spectral Theory 1 Numerical Algebra, Control and Optimization 1 Mathematical Control and Related Fields 1 S$$\vec{\text{e}}$$MA Journal 1 Arabian Journal of Mathematics 1 SIAM/ASA Journal on Uncertainty Quantification 1 Annals of PDE 1 Bollettino dell’Unione Matematica Italiana 1 Annales Henri Lebesgue
all top 5

#### Cited in 31 Fields

 116 Operator theory (47-XX) 95 Partial differential equations (35-XX) 69 Ordinary differential equations (34-XX) 43 Systems theory; control (93-XX) 19 Probability theory and stochastic processes (60-XX) 18 Biology and other natural sciences (92-XX) 17 Numerical analysis (65-XX) 15 Mechanics of deformable solids (74-XX) 11 Functional analysis (46-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 6 Fluid mechanics (76-XX) 4 Group theory and generalizations (20-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Integral equations (45-XX) 4 Quantum theory (81-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Geophysics (86-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.