# zbMATH — the first resource for mathematics

## Glitzky, Annegret

Compute Distance To:
 Author ID: glitzky.annegret Published as: Glitzky, Annegret; Glitzky, A.
 Documents Indexed: 46 Publications since 1989, including 2 Books
all top 5

#### Co-Authors

 11 single-authored 17 Hünlich, Rolf 9 Liero, Matthias 3 Fiebach, André 3 Griepentrog, Jens André 3 Gröger, Konrad 2 Bulíček, Miroslav 2 Doan, Duy-Hai 2 Fuhrmann, Jürgen 2 Gärtner, Klaus 2 Linke, Alexander 2 Merz, Wilhelm 2 Nika, Grigor 2 Röpke, Wilfried 1 Albinus, Günter 1 Fischer, Axel 1 Gajewski, Herbert 1 Knopke, Jürgen 1 Koprucki, Thomas 1 Mielke, Alexander 1 Pulverer, K. 1 Scholz, Reinhard
all top 5

#### Serials

 4 Mathematische Nachrichten 4 SIAM Journal on Mathematical Analysis 3 Mathematical Methods in the Applied Sciences 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Applicable Analysis 2 Advances in Mathematical Sciences and Applications 2 Nonlinear Analysis. Real World Applications 2 Nonlinear Analysis. Theory, Methods & Applications 1 Nonlinearity 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Numerical Methods for Partial Differential Equations 1 Discrete and Continuous Dynamical Systems 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Communications in Mathematical Sciences 1 Analysis and Applications (Singapore) 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Discrete and Continuous Dynamical Systems. Series S
all top 5

#### Fields

 40 Partial differential equations (35-XX) 26 Optics, electromagnetic theory (78-XX) 14 Statistical mechanics, structure of matter (82-XX) 12 Numerical analysis (65-XX) 9 Classical thermodynamics, heat transfer (80-XX) 3 Functional analysis (46-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Potential theory (31-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

37 Publications have been cited 220 times in 117 Documents Cited by Year
Free energy and dissipation rate for reaction diffusion processes of electrically charged species. Zbl 0871.35017
Glitzky, Annegret; Gröger, Konrad; Hünlich, Rolf
1996
A gradient structure for systems coupling reaction-diffusion effects in bulk and interfaces. Zbl 1270.35256
Glitzky, Annegret; Mielke, Alexander
2013
Energetic estimates and asymptotics for electro-reaction-diffusion systems. Zbl 0887.35024
Glitzky, A.; Hünlich, R.
1997
Global estimates and asymptotics for electro-reaction-diffusion systems in heterostructures. Zbl 0886.35024
Glitzky, A.; Hünlich, R.
1997
Energy estimates for continuous and discretized electro-reaction-diffusion systems. Zbl 1151.35312
Glitzky, Annegret; Gärtner, Klaus
2009
Exponential decay of the free energy for discretized electro-reaction-diffusion systems. Zbl 1149.35316
Glitzky, Annegret
2008
Uniform exponential decay of the free energy for Voronoi finite volume discretized reaction-diffusion systems. Zbl 1235.35037
Glitzky, Annegret
2011
$$p$$-Laplace thermistor modeling of electrothermal feedback in organic semiconductor devices. Zbl 1338.35426
Liero, Matthias; Koprucki, Thomas; Fischer, Axel; Scholz, Reinhard; Glitzky, Annegret
2015
Systems describing electrothermal effects with $$p(x)$$-Laplacian-like structure for discontinuous variable exponents. Zbl 1360.35277
Bulíček, Miroslav; Glitzky, Annegret; Liero, Matthias
2016
Analysis of $$p(x)$$-Laplace thermistor models describing the electrothermal behavior of organic semiconductor devices. Zbl 1366.82064
Glitzky, Annegret; Liero, Matthias
2017
Uniform global bounds for solutions of an implicit Voronoi finite volume method for reaction-diffusion problems. Zbl 1306.65249
Fiebach, André; Glitzky, Annegret; Linke, Alexander
2014
An electronic model for solar cells including active interfaces and energy resolved defect densities. Zbl 1272.35119
Glitzky, Annegret
2012
Existence of bounded steady state solutions to spin-polarized drift-diffusion systems. Zbl 1206.35233
Glitzky, Annegret; Gärtner, Klaus
2010
Analysis of a spin-polarized drift-diffusion model. Zbl 1183.35168
Glitzky, Annegret
2008
Global existence result for pair diffusion models. Zbl 1082.35076
Glitzky, A.; Hünlich, R.
2005
Discrete Sobolev-Poincaré inequalities for Voronoi finite volume approximations. Zbl 1209.46015
Glitzky, Annegret; Griepentrog, Jens A.
2010
On energy estimates for electro-diffusion equations arising in semiconductor technology. Zbl 0931.35016
Hünlich, R.; Glitzky, A.
2000
Energy estimates for electro-reaction-diffusion systems with partly fast kinetics. Zbl 1178.35069
Glitzky, Annegret
2009
Thermistor systems of $$p(x)$$-Laplace-type with discontinuous exponents via entropy solutions. Zbl 1378.35146
Bulíček, Miroslav; Glitzky, Annegret; Liero, Matthias
2017
Single dopant diffusion in semiconductor technology. Zbl 1036.35074
Glitzky, A.; Merz, W.
2004
Analysis of a drift-diffusion model for organic semiconductor devices. Zbl 1419.35024
Doan, Duy-Hai; Glitzky, Annegret; Liero, Matthias
2019
Discrete-time methods for equations modelling transport for foreign-atoms in semiconductors. Zbl 0866.35050
Glitzky, Annegret; Gröger, Konrad; Hünlich, Rolf
1997
Stationary solutions of two-dimensional heterogeneous energy models with multiple species. Zbl 1235.35082
Glitzky, Annegret; Hünlich, Rolf
2004
Electro-reaction-diffusion systems with nonlocal constraints. Zbl 1058.35093
Glitzky, A.
2004
Analysis of electronic models for solar cells including energy resolved defect densities. Zbl 1228.35122
Glitzky, Annegret
2011
Hybrid finite-volume/finite-element schemes for $$p(x)$$-Laplace thermistor models. Zbl 1379.35312
Fuhrmann, Jürgen; Glitzky, Annegret; Liero, Matthias
2017
Stationary energy models for semiconductor devices with incompletely ionized impurities. Zbl 1138.82367
Glitzky, Annegret; Hünlich, Rolf
2005
Instationary drift-diffusion problems with Gauss-Fermi statistics and field-dependent mobility for organic semiconductor devices. Zbl 1431.35206
Glitzky, Annegret; Liero, Matthias
2019
Resolvent estimates in $$W^{-1,p}$$ related to strongly coupled-linear parabolic systems with coupled nonsmooth capacities. Zbl 1137.35317
Glitzky, Annegret; Hünlich, Rolf
2007
Stationary solutions to an energy model for semiconductor devices where the equations are defined on different domains. Zbl 1156.35096
Glitzky, Annegret; Hünlich, Rolf
2008
Stability of orbits of solutions of $$O(2)\times\mathbb{Z}_ 2$$-equivariant bifurcation problems with variational structure. Zbl 0778.58015
Glitzky, Annegret
1993
Bifurkationsprobleme mit $$O(2)\times Z_ 2-Symmetrie$$ im drei- und vierdimensionalen Verzweigungsfall. (Bifurcation problems with $$O(2)\times Z_ 2$$-symmetry in the case of ramification in three- and four dimensions). Zbl 0698.58046
Glitzky, Annegret
1989
Electro-reaction-diffusion systems including cluster reactions of higher order. Zbl 0999.35049
Glitzky, Annegret; Hünlich, Rolf
2000
Existence, uniqueness and asymptotic behaviour of solutions to equations modelling transport of dopants in semiconductors. Zbl 0832.35071
Glitzky, Annegret; Gröger, Konrad; Hünlich, Rolf
1993
Strong solutions for pair diffusion models in homogeneous semiconductors. Zbl 1003.82012
Merz, W.; Glitzky, A.; Hünlich, R.; Pulverer, K.
2001
Convergence of an implicit Voronoi finite volume method for reaction-diffusion problems. Zbl 1339.65145
Fiebach, André; Glitzky, Annegret; Linke, Alexander
2016
Electro-reaction-diffusion systems with nonsmooth data. (Elektro-Reaktions-Diffusionssysteme mit nichtglatten Daten.) Zbl 1084.35001
Glitzky, Annegret
2002
Analysis of a drift-diffusion model for organic semiconductor devices. Zbl 1419.35024
Doan, Duy-Hai; Glitzky, Annegret; Liero, Matthias
2019
Instationary drift-diffusion problems with Gauss-Fermi statistics and field-dependent mobility for organic semiconductor devices. Zbl 1431.35206
Glitzky, Annegret; Liero, Matthias
2019
Analysis of $$p(x)$$-Laplace thermistor models describing the electrothermal behavior of organic semiconductor devices. Zbl 1366.82064
Glitzky, Annegret; Liero, Matthias
2017
Thermistor systems of $$p(x)$$-Laplace-type with discontinuous exponents via entropy solutions. Zbl 1378.35146
Bulíček, Miroslav; Glitzky, Annegret; Liero, Matthias
2017
Hybrid finite-volume/finite-element schemes for $$p(x)$$-Laplace thermistor models. Zbl 1379.35312
Fuhrmann, Jürgen; Glitzky, Annegret; Liero, Matthias
2017
Systems describing electrothermal effects with $$p(x)$$-Laplacian-like structure for discontinuous variable exponents. Zbl 1360.35277
Bulíček, Miroslav; Glitzky, Annegret; Liero, Matthias
2016
Convergence of an implicit Voronoi finite volume method for reaction-diffusion problems. Zbl 1339.65145
Fiebach, André; Glitzky, Annegret; Linke, Alexander
2016
$$p$$-Laplace thermistor modeling of electrothermal feedback in organic semiconductor devices. Zbl 1338.35426
Liero, Matthias; Koprucki, Thomas; Fischer, Axel; Scholz, Reinhard; Glitzky, Annegret
2015
Uniform global bounds for solutions of an implicit Voronoi finite volume method for reaction-diffusion problems. Zbl 1306.65249
Fiebach, André; Glitzky, Annegret; Linke, Alexander
2014
A gradient structure for systems coupling reaction-diffusion effects in bulk and interfaces. Zbl 1270.35256
Glitzky, Annegret; Mielke, Alexander
2013
An electronic model for solar cells including active interfaces and energy resolved defect densities. Zbl 1272.35119
Glitzky, Annegret
2012
Uniform exponential decay of the free energy for Voronoi finite volume discretized reaction-diffusion systems. Zbl 1235.35037
Glitzky, Annegret
2011
Analysis of electronic models for solar cells including energy resolved defect densities. Zbl 1228.35122
Glitzky, Annegret
2011
Existence of bounded steady state solutions to spin-polarized drift-diffusion systems. Zbl 1206.35233
Glitzky, Annegret; Gärtner, Klaus
2010
Discrete Sobolev-Poincaré inequalities for Voronoi finite volume approximations. Zbl 1209.46015
Glitzky, Annegret; Griepentrog, Jens A.
2010
Energy estimates for continuous and discretized electro-reaction-diffusion systems. Zbl 1151.35312
Glitzky, Annegret; Gärtner, Klaus
2009
Energy estimates for electro-reaction-diffusion systems with partly fast kinetics. Zbl 1178.35069
Glitzky, Annegret
2009
Exponential decay of the free energy for discretized electro-reaction-diffusion systems. Zbl 1149.35316
Glitzky, Annegret
2008
Analysis of a spin-polarized drift-diffusion model. Zbl 1183.35168
Glitzky, Annegret
2008
Stationary solutions to an energy model for semiconductor devices where the equations are defined on different domains. Zbl 1156.35096
Glitzky, Annegret; Hünlich, Rolf
2008
Resolvent estimates in $$W^{-1,p}$$ related to strongly coupled-linear parabolic systems with coupled nonsmooth capacities. Zbl 1137.35317
Glitzky, Annegret; Hünlich, Rolf
2007
Global existence result for pair diffusion models. Zbl 1082.35076
Glitzky, A.; Hünlich, R.
2005
Stationary energy models for semiconductor devices with incompletely ionized impurities. Zbl 1138.82367
Glitzky, Annegret; Hünlich, Rolf
2005
Single dopant diffusion in semiconductor technology. Zbl 1036.35074
Glitzky, A.; Merz, W.
2004
Stationary solutions of two-dimensional heterogeneous energy models with multiple species. Zbl 1235.35082
Glitzky, Annegret; Hünlich, Rolf
2004
Electro-reaction-diffusion systems with nonlocal constraints. Zbl 1058.35093
Glitzky, A.
2004
Electro-reaction-diffusion systems with nonsmooth data. (Elektro-Reaktions-Diffusionssysteme mit nichtglatten Daten.) Zbl 1084.35001
Glitzky, Annegret
2002
Strong solutions for pair diffusion models in homogeneous semiconductors. Zbl 1003.82012
Merz, W.; Glitzky, A.; Hünlich, R.; Pulverer, K.
2001
On energy estimates for electro-diffusion equations arising in semiconductor technology. Zbl 0931.35016
Hünlich, R.; Glitzky, A.
2000
Electro-reaction-diffusion systems including cluster reactions of higher order. Zbl 0999.35049
Glitzky, Annegret; Hünlich, Rolf
2000
Energetic estimates and asymptotics for electro-reaction-diffusion systems. Zbl 0887.35024
Glitzky, A.; Hünlich, R.
1997
Global estimates and asymptotics for electro-reaction-diffusion systems in heterostructures. Zbl 0886.35024
Glitzky, A.; Hünlich, R.
1997
Discrete-time methods for equations modelling transport for foreign-atoms in semiconductors. Zbl 0866.35050
Glitzky, Annegret; Gröger, Konrad; Hünlich, Rolf
1997
Free energy and dissipation rate for reaction diffusion processes of electrically charged species. Zbl 0871.35017
Glitzky, Annegret; Gröger, Konrad; Hünlich, Rolf
1996
Stability of orbits of solutions of $$O(2)\times\mathbb{Z}_ 2$$-equivariant bifurcation problems with variational structure. Zbl 0778.58015
Glitzky, Annegret
1993
Existence, uniqueness and asymptotic behaviour of solutions to equations modelling transport of dopants in semiconductors. Zbl 0832.35071
Glitzky, Annegret; Gröger, Konrad; Hünlich, Rolf
1993
Bifurkationsprobleme mit $$O(2)\times Z_ 2-Symmetrie$$ im drei- und vierdimensionalen Verzweigungsfall. (Bifurcation problems with $$O(2)\times Z_ 2$$-symmetry in the case of ramification in three- and four dimensions). Zbl 0698.58046
Glitzky, Annegret
1989
all top 5

#### Cited by 143 Authors

 21 Glitzky, Annegret 12 Fellner, Klemens 12 Mielke, Alexander 10 Jüngel, Ansgar 10 Liero, Matthias 7 Chainais-Hillairet, Claire 7 Rehberg, Joachim 6 Hünlich, Rolf 6 Tang, Bao Quoc 5 Cancès, Clément 5 Desvillettes, Laurent 5 Fuhrmann, Jürgen 4 Disser, Karoline 4 Kovtunenko, Viktor Anatolievich 3 Gärtner, Klaus 3 Haller-Dintelmann, Robert 3 Kaiser, Hans-Christoph 3 Markowich, Peter Alexander 3 Peletier, Mark Adriaan 2 Andreianov, Boris 2 Bessemoulin-Chatard, Marianne 2 Bulíček, Miroslav 2 Dawson, Donald Andrew 2 Doan, Duy-Hai 2 Fiebach, André 2 Fischer, Julian 2 Fleischmann, Klaus 2 Gröger, Konrad 2 Haskovec, Jan 2 Kamenski, Lennard 2 Kantner, Markus 2 Linke, Alexander 2 Maniar, Lahcen 2 Matthes, Daniel 2 Mittnenzweig, Markus 2 Naumann, Joachim 2 Nika, Grigor 2 Savaré, Giuseppe 2 Schuchnigg, Stefan 2 Shpartko, Polina 2 Zamponi, Nicola 2 Zubkova, Anna V. 1 Ait Hammou Oulhaj, Ahmed 1 Arnrich, Steffen 1 Babak, Petro Panasovych 1 Bataillon, Christian 1 Bazant, Martin Z. 1 Bendahmane, Mostafa 1 Berg, Peter 1 Bothe, Dieter 1 Bouchon, François 1 Brenner, Konstantin 1 Bukal, Mario 1 Cañizo, José Alfredo 1 Chinnì, Antonia 1 de Greef, Tom 1 Di Francesco, Marco 1 Dreyer, Wolfgang 1 Egger, Herbert 1 Emmrich, Etienne 1 Farrell, Patricio 1 Foster, Erich L. 1 Fukada, Kotaro 1 Martínez Gamba, Irene 1 Gerstenmayer, Anita 1 González Granada, José Rodrigo 1 Guhlke, Clemens 1 Guo, Zhichang 1 Hausberg, Stephan 1 He, Yuan 1 Hilhorst, Danielle 1 Hittmeir, Sabine 1 Hoarau, E. 1 Holzinger, Philipp 1 Huth, Robert 1 Jia, Zonglin 1 Jonsson, Alf 1 Khoutaibi, Abdelaziz 1 Kimmerle, Sven-Joachim 1 Kita, Ichiro 1 Knees, Dorothee 1 Kniely, Michael 1 Krell, Stella 1 Latos, Evangelos Antonios 1 Laurençot, Philippe 1 Lee, Chiun-Chang 1 Lee, Heung-Chan 1 Lohéac, Jérôme 1 Maas, Jan 1 Masroor, Saeed 1 Merz, Wilhelm 1 Meyer, Christian 1 Meyries, Martin 1 Molino, Alexis 1 Monsaingeon, Léonard 1 Moussa, Ayman 1 Müller, Carl E. 1 Muratori, Matteo 1 Nabet, Flore 1 Negulescu, Claudia ...and 43 more Authors
all top 5

#### Cited in 59 Serials

 5 Mathematical Methods in the Applied Sciences 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Calculus of Variations and Partial Differential Equations 4 Journal of Mathematical Analysis and Applications 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 SIAM Journal on Mathematical Analysis 4 Discrete and Continuous Dynamical Systems. Series S 3 Applicable Analysis 3 Journal of Computational Physics 3 Mathematische Nachrichten 3 Numerische Mathematik 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 SIAM Journal on Applied Mathematics 3 Discrete and Continuous Dynamical Systems 3 Nonlinear Analysis. Real World Applications 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Nonlinear Analysis. Theory, Methods & Applications 2 Applied Mathematics and Computation 2 Journal of Differential Equations 2 Journal of Functional Analysis 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Numerical Methods for Partial Differential Equations 2 NoDEA. Nonlinear Differential Equations and Applications 2 Journal of Evolution Equations 2 Kinetic and Related Models 2 Evolution Equations and Control Theory 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 Journal of Statistical Physics 1 Mathematics of Computation 1 The Annals of Probability 1 Applied Mathematics and Optimization 1 Zeitschrift für Analysis und ihre Anwendungen 1 Revista Matemática Iberoamericana 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 Computational Mathematics and Mathematical Physics 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Stochastic Processes and their Applications 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 Continuum Mechanics and Thermodynamics 1 Journal of Mathematical Sciences (New York) 1 Mathematical and Computer Modelling of Dynamical Systems 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Interfaces and Free Boundaries 1 Computational Geosciences 1 Computational Methods in Applied Mathematics 1 Journal of Numerical Mathematics 1 Analysis and Applications (Singapore) 1 Networks and Heterogeneous Media 1 Analysis and Mathematical Physics 1 Journal of Mathematics in Industry 1 Minimax Theory and its Applications 1 Journal of Elliptic and Parabolic Equations
all top 5

#### Cited in 19 Fields

 97 Partial differential equations (35-XX) 30 Numerical analysis (65-XX) 28 Statistical mechanics, structure of matter (82-XX) 19 Optics, electromagnetic theory (78-XX) 16 Classical thermodynamics, heat transfer (80-XX) 11 Biology and other natural sciences (92-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Fluid mechanics (76-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Probability theory and stochastic processes (60-XX) 4 Mechanics of deformable solids (74-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 2 Ordinary differential equations (34-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Systems theory; control (93-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX)