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Simader, Christian Georg (b. 1943 d. 2019)

Author ID: simader.christian-g Recent zbMATH articles by "Simader, Christian Georg"
Published as: Simader, Christian G.; Simader, C. G.; Simader, Christian
Homepage: http://www.num-analysis.uni-bayreuth.de/de/team/ehemalige_Mitarbeiter/Simader_Ch...
External Links: MGP · GND
Documents Indexed: 51 Publications since 1972, including 2 Books
1 Further Contribution
Co-Authors: 13 Co-Authors with 27 Joint Publications
309 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 698 times in 598 Documents Cited by Year
Direct methods in the theory of elliptic equations. Transl. from the French. Editorial coordination and preface by Šárka Nečasová and a contribution by Christian G. Simader. Zbl 1246.35005
Nečas, Jindřich
126
2012
Schrödinger operators with singular magnetic vector potentials. Zbl 0468.35038
Leinfelder, Herbert; Simader, Christian G.
123
1981
A new approach to the Helmholtz decomposition and the Neumann problem in \(L^ q\)-spaces for bounded and exterior domains. Zbl 0791.35096
Simader, Christian G.; Sohr, Hermann
115
1992
On Dirichlet’s boundary value problem. An \(L^p\)-theory based on a generalization of Garding’s inequality. Zbl 0242.35027
Simader, Christian G.
67
1972
Existence, uniqueness and \(L^ q\)-estimates for the Stokes problem in an exterior domain. Zbl 0722.35065
Galdi, Giovanni P.; Simader, Christian G.
64
1990
The Dirichlet problem for the Laplacian in bounded and unbounded domains. Zbl 0868.35001
Simader, C. G.; Sohr, H.
58
1996
On the Stokes problem in Lipschitz domains. Zbl 0824.35098
Galdi, G. P.; Simader, C. G.; Sohr, H.
51
1994
A class of solutions to stationary Stokes and Navier-Stokes equations with boundary data in \(W^{-1/q,q}\). Zbl 1064.35133
Galdi, G. P.; Simader, C. G.; Sohr, H.
51
2005
Essential self-adjointness of Schrödinger operators bounded from below. Zbl 0409.35026
Simader, Christian G.
22
1978
An elementary proof of Harnack’s inequality for Schrödinger operators and related topics. Zbl 0697.35017
Simader, Christian G.
22
1990
Bemerkungen über Schrödinger-Operatoren mit stark singulären Potentialen. Zbl 0317.35028
Simader, Christian G.
18
1974
The weak Dirichlet and Neumann problem for the Laplacian in \(L^ q\) for bounded and exterior domains. Applications. Zbl 0786.35036
Simader, Christian G.
15
1990
New estimates for the steady-state Stokes problem in exterior domains with applications to the Navier-Stokes problem. Zbl 0823.35142
Galdi, Giovanni P.; Simader, Christian G.
12
1994
Über schwache Lösungen des Dirichletproblems für streng nichtlineare elliptische Differentialgleichungen. Zbl 0354.35039
Simader, Christian G.
10
1976
Mean value formulas, Weyl’s lemma and Liouville theorems for \(\Delta^ 2\) and Stokes’ system. Zbl 0766.31006
Simader, Christian G.
9
1992
A note on the existence of solutions to the Oseen system in Lipschitz domains. Zbl 1099.76017
Russo, Remigio; Simader, Christian G.
6
2006
Equivalence of weak Dirichlet’s principle, the method of weak solutions and Perron’s method towards classical solutions of Dirichlet’s problem for harmonic functions. Zbl 1163.35003
Simader, Christian G.
5
2006
Remarks on uniqueness and stability of weak solutions of strongly nonlinear elliptic equations. Zbl 0501.35034
Simader, Christian G.
4
1982
Necessary and sufficient conditions for the existence of Helmholtz decompositions in general domains. Zbl 1304.35506
Simader, Christian G.; Sohr, Hermann; Varnhorn, Werner
4
2014
Nonlinear eigenvalue problems for quasilinear equations in unbounded domains. Zbl 0936.35066
Drábek, Pavel; Simader, Christian G.
4
1999
On the existence and uniqueness of solutions for strongly nonlinear elliptic variational problems. Zbl 0513.35033
Mustonen, Vesa; Simader, Christian G.
3
1981
Bemerkungen über nichtlineare Störungen von Schrödinger-Operatoren. Zbl 0323.35031
Leinfelder, Herbert; Simader, Christian G.
3
1975
An \(L^ q\)-theory for weak solutions of the Stokes system in exterior domains. Zbl 0787.35063
Farwig, R.; Simader, C. G.; Sohr, H.
3
1993
Introduction to the Cosserat problem. Zbl 1157.35035
Simader, Christian G.; von Wahl, Wolf
3
2006
Another approach to the Dirichlet problem for very strongly nonlinear elliptic equations. Zbl 0348.35037
Simader, C. G.
2
1976
Remarks on essential self-adjointness of Schrödinger operators with singular electrostatic potentials. Zbl 0776.35009
Simader, Christian G.
2
1992
The weak \(L^q\)-Cosserat spectrum for the first boundary value problem in the half-space. Applications to Stokes’ and Lamé’s system. Zbl 1157.35033
Simader, Christian G.
2
2006
An operator related to the Cosserat spectrum. Applications. Zbl 1157.35034
Simader, Christian G.; Weyers, Stephan
2
2006
A second look on definition and equivalent norms of Sobolev spaces. Zbl 0941.46019
Naumann, J.; Simader, C. G.
2
1999
The Helmholtz decomposition and the weak Neumann problem in \(L^ q\). Zbl 0723.35024
Simader, C. G.
2
1990
On the exterior two-dimensional Dirichlet problem for elliptic equations. Zbl 1192.35041
Russo, Remigio; Simader, Christian G.
2
2009
General properties of the Helmholtz decomposition in spaces of \(L^q\)-type. Zbl 1349.35292
Farwig, Reinhard; Simader, Christian; Sohr, Hermann; Varnhorn, Werner
2
2016
Über koerzitive lineare partielle Differentialoperatoren: Fredholmsche verallgemeinerte Dirichletprobleme und deren Klasseneinteilung. Zbl 0431.35019
Louhivaara, Ilppo Simo; Simader, Christian G.
1
1978
On general solvability properties of \(p\)-Laplacian-like equations. Zbl 1030.35058
Drábek, Pavel; Simader, Christian G.
1
2002
The weak Dirichlet and Neumann problems in \(L^q\) for the Laplacian and the Helmholtz decomposition in infinite cylinders and layers. Zbl 0932.35058
Simader, Christian G.; Ziegler, Thomas
1
1998
Hardy inequalities for overdetermined classes of functions. Zbl 0895.26003
Kufner, A.; Simader, C. G.
1
1997
Über das verallgemeinerte Dirichletproblem für koerzitive lineare partielle Differentialgleichungen. Zbl 0355.35016
Louhivaara, Ilppo Simo; Simader, Christian G.
1
1976
Über periodische Lösungen koerzitiver linearer partieller Differentialgleichungen. Zbl 0426.35027
Louhivaara, Ilppo Simo; Simader, Christian G.
1
1979
The Brouwer fixed point theorem and the transformation rule for multiple integrals via homotopy arguments. Zbl 0534.47038
Leinfelder, Herbert; Simader, Christian G.
1
1983
Sobolev’s original definition of his spaces revisited and a comparison with nowadays definition. Zbl 0947.46022
Simader, Christian G.
1
1999
Über nichtelliptische lineare partielle Differentialoperatoren mit konstanten Koeffizienten. Zbl 0251.35073
Louhivaara, Ilppo Simo; Simader, Christian G.
1
1972
Sketch of an alternative approach to weak \(L^q\)-solutions of Stokes’ system in a half-space. Zbl 1330.35346
Simader, Christian G.
1
2002
General properties of the Helmholtz decomposition in spaces of \(L^q\)-type. Zbl 1349.35292
Farwig, Reinhard; Simader, Christian; Sohr, Hermann; Varnhorn, Werner
2
2016
Necessary and sufficient conditions for the existence of Helmholtz decompositions in general domains. Zbl 1304.35506
Simader, Christian G.; Sohr, Hermann; Varnhorn, Werner
4
2014
Direct methods in the theory of elliptic equations. Transl. from the French. Editorial coordination and preface by Šárka Nečasová and a contribution by Christian G. Simader. Zbl 1246.35005
Nečas, Jindřich
126
2012
On the exterior two-dimensional Dirichlet problem for elliptic equations. Zbl 1192.35041
Russo, Remigio; Simader, Christian G.
2
2009
A note on the existence of solutions to the Oseen system in Lipschitz domains. Zbl 1099.76017
Russo, Remigio; Simader, Christian G.
6
2006
Equivalence of weak Dirichlet’s principle, the method of weak solutions and Perron’s method towards classical solutions of Dirichlet’s problem for harmonic functions. Zbl 1163.35003
Simader, Christian G.
5
2006
Introduction to the Cosserat problem. Zbl 1157.35035
Simader, Christian G.; von Wahl, Wolf
3
2006
The weak \(L^q\)-Cosserat spectrum for the first boundary value problem in the half-space. Applications to Stokes’ and Lamé’s system. Zbl 1157.35033
Simader, Christian G.
2
2006
An operator related to the Cosserat spectrum. Applications. Zbl 1157.35034
Simader, Christian G.; Weyers, Stephan
2
2006
A class of solutions to stationary Stokes and Navier-Stokes equations with boundary data in \(W^{-1/q,q}\). Zbl 1064.35133
Galdi, G. P.; Simader, C. G.; Sohr, H.
51
2005
On general solvability properties of \(p\)-Laplacian-like equations. Zbl 1030.35058
Drábek, Pavel; Simader, Christian G.
1
2002
Sketch of an alternative approach to weak \(L^q\)-solutions of Stokes’ system in a half-space. Zbl 1330.35346
Simader, Christian G.
1
2002
Nonlinear eigenvalue problems for quasilinear equations in unbounded domains. Zbl 0936.35066
Drábek, Pavel; Simader, Christian G.
4
1999
A second look on definition and equivalent norms of Sobolev spaces. Zbl 0941.46019
Naumann, J.; Simader, C. G.
2
1999
Sobolev’s original definition of his spaces revisited and a comparison with nowadays definition. Zbl 0947.46022
Simader, Christian G.
1
1999
The weak Dirichlet and Neumann problems in \(L^q\) for the Laplacian and the Helmholtz decomposition in infinite cylinders and layers. Zbl 0932.35058
Simader, Christian G.; Ziegler, Thomas
1
1998
Hardy inequalities for overdetermined classes of functions. Zbl 0895.26003
Kufner, A.; Simader, C. G.
1
1997
The Dirichlet problem for the Laplacian in bounded and unbounded domains. Zbl 0868.35001
Simader, C. G.; Sohr, H.
58
1996
On the Stokes problem in Lipschitz domains. Zbl 0824.35098
Galdi, G. P.; Simader, C. G.; Sohr, H.
51
1994
New estimates for the steady-state Stokes problem in exterior domains with applications to the Navier-Stokes problem. Zbl 0823.35142
Galdi, Giovanni P.; Simader, Christian G.
12
1994
An \(L^ q\)-theory for weak solutions of the Stokes system in exterior domains. Zbl 0787.35063
Farwig, R.; Simader, C. G.; Sohr, H.
3
1993
A new approach to the Helmholtz decomposition and the Neumann problem in \(L^ q\)-spaces for bounded and exterior domains. Zbl 0791.35096
Simader, Christian G.; Sohr, Hermann
115
1992
Mean value formulas, Weyl’s lemma and Liouville theorems for \(\Delta^ 2\) and Stokes’ system. Zbl 0766.31006
Simader, Christian G.
9
1992
Remarks on essential self-adjointness of Schrödinger operators with singular electrostatic potentials. Zbl 0776.35009
Simader, Christian G.
2
1992
Existence, uniqueness and \(L^ q\)-estimates for the Stokes problem in an exterior domain. Zbl 0722.35065
Galdi, Giovanni P.; Simader, Christian G.
64
1990
An elementary proof of Harnack’s inequality for Schrödinger operators and related topics. Zbl 0697.35017
Simader, Christian G.
22
1990
The weak Dirichlet and Neumann problem for the Laplacian in \(L^ q\) for bounded and exterior domains. Applications. Zbl 0786.35036
Simader, Christian G.
15
1990
The Helmholtz decomposition and the weak Neumann problem in \(L^ q\). Zbl 0723.35024
Simader, C. G.
2
1990
The Brouwer fixed point theorem and the transformation rule for multiple integrals via homotopy arguments. Zbl 0534.47038
Leinfelder, Herbert; Simader, Christian G.
1
1983
Remarks on uniqueness and stability of weak solutions of strongly nonlinear elliptic equations. Zbl 0501.35034
Simader, Christian G.
4
1982
Schrödinger operators with singular magnetic vector potentials. Zbl 0468.35038
Leinfelder, Herbert; Simader, Christian G.
123
1981
On the existence and uniqueness of solutions for strongly nonlinear elliptic variational problems. Zbl 0513.35033
Mustonen, Vesa; Simader, Christian G.
3
1981
Über periodische Lösungen koerzitiver linearer partieller Differentialgleichungen. Zbl 0426.35027
Louhivaara, Ilppo Simo; Simader, Christian G.
1
1979
Essential self-adjointness of Schrödinger operators bounded from below. Zbl 0409.35026
Simader, Christian G.
22
1978
Über koerzitive lineare partielle Differentialoperatoren: Fredholmsche verallgemeinerte Dirichletprobleme und deren Klasseneinteilung. Zbl 0431.35019
Louhivaara, Ilppo Simo; Simader, Christian G.
1
1978
Über schwache Lösungen des Dirichletproblems für streng nichtlineare elliptische Differentialgleichungen. Zbl 0354.35039
Simader, Christian G.
10
1976
Another approach to the Dirichlet problem for very strongly nonlinear elliptic equations. Zbl 0348.35037
Simader, C. G.
2
1976
Über das verallgemeinerte Dirichletproblem für koerzitive lineare partielle Differentialgleichungen. Zbl 0355.35016
Louhivaara, Ilppo Simo; Simader, Christian G.
1
1976
Bemerkungen über nichtlineare Störungen von Schrödinger-Operatoren. Zbl 0323.35031
Leinfelder, Herbert; Simader, Christian G.
3
1975
Bemerkungen über Schrödinger-Operatoren mit stark singulären Potentialen. Zbl 0317.35028
Simader, Christian G.
18
1974
On Dirichlet’s boundary value problem. An \(L^p\)-theory based on a generalization of Garding’s inequality. Zbl 0242.35027
Simader, Christian G.
67
1972
Über nichtelliptische lineare partielle Differentialoperatoren mit konstanten Koeffizienten. Zbl 0251.35073
Louhivaara, Ilppo Simo; Simader, Christian G.
1
1972
all top 5

Cited by 613 Authors

19 Kozono, Hideo
15 Simader, Christian Georg
14 Amrouche, Chérif
12 Farwig, Reinhard
12 Maremonti, Paolo
12 Sohr, Hermann
11 Wolf, Jörg
10 Hishida, Toshiaki
10 Medková, Dagmar
9 Galdi, Giovanni Paolo
9 Kim, Hyunseok
8 Russo, Remigio
8 Yanagisawa, Taku
7 Deuring, Paul
7 Hieber, Matthias
7 Tartaglione, Alfonsina
7 Varnhorn, Werner
6 Byun, Sun-Sig
6 Giga, Yoshikazu
6 Meslameni, Mohamed
6 Schumacher, Katrin
6 Simon, Barry
6 Taniuchi, Yasushi
5 Al Baba, Hind
5 Chae, Dongho
5 Choe, Hi Jun
5 Milatovic, Ognjen
5 Raikov, Georgi D.
5 Seyfert, Anton
5 Shen, Zhongwei
5 Shimizu, Senjo
4 Abe, Ken
4 Abels, Helmut
4 Borchers, Wolfgang
4 Di Fazio, Giuseppe
4 Han, Qi
4 Landes, Rüdiger
4 Leinfelder, Herbert
4 Maekawa, Yasunori
4 Maz’ya, Vladimir Gilelevich
4 Nakatsuka, Tomoyuki
4 Nečasová, Šárka
4 Pan, Xingbin
4 Rakotoson, Jean-Michel
4 Rodríguez-Bellido, Maria Angeles
4 Růžička, Michael
4 Shubin, Mikhail Aleksandrovich
4 Tehrani, Hossein Torabi
4 Wang, Yanqing
3 Aliev, Araz R.
3 Amann, Herbert
3 Auchmuty, Giles
3 Bae, Hyeong-Ohk
3 Berselli, Luigi Carlo
3 Bidaut-Veron, Marie-Françoise
3 Carl, Siegfried
3 Chueshov, Igor’ Dmitrievich
3 Costa, David Goldstein
3 Enstedt, Mattias
3 Fanelli, Luca
3 Frehse, Jens
3 Heck, Horst
3 Hinz, Andreas M.
3 Ichinose, Takashi
3 Iftimie, Viorel
3 Kalf, Hubert
3 Kondrat’ev, Vladimir Aleksandrovich
3 Liskevich, Vitaliĭ A.
3 Melgaard, Michael
3 Mitrea, Marius
3 Miyakawa, Tetsuro
3 Moscolari, Massimo
3 Nakao, Kohei
3 Pileckas, Konstantin
3 Riechwald, Paul Felix
3 Russo, Antonio
3 Saal, Jürgen
3 Shibata, Yoshihiro
3 The Anh Bui
3 Vega, Luis
3 Voigt, Jurgen
3 Wang, Lihe
3 Yajima, Kenji
3 Yamazaki, Masao
3 Zamboni, Pietro
3 Zhou, Daoguo
2 Agouzal, Abdellatif
2 Allali, Karam
2 Alliot, Frédéric
2 Apel, Thomas
2 Beirão da Veiga, Hugo
2 Benjemaa, Mondher
2 Binna, Siham
2 Black, Tobias
2 Boulmezaoud, Tahar Zamène
2 Chen, Shaowei
2 Coscia, Vincenzo
2 D’Ancona, Piero
2 Díaz Díaz, Jesús Ildefonso
2 Dindoš, Martin
...and 513 more Authors
all top 5

Cited in 162 Serials

35 Journal of Differential Equations
25 Journal of Functional Analysis
24 Journal of Mathematical Analysis and Applications
23 Archive for Rational Mechanics and Analysis
23 Journal of Mathematical Fluid Mechanics
22 Mathematische Zeitschrift
19 Mathematische Annalen
14 Mathematische Nachrichten
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
12 Journal of Mathematical Physics
12 Manuscripta Mathematica
11 Communications in Partial Differential Equations
10 Journal of Evolution Equations
9 Calculus of Variations and Partial Differential Equations
8 Communications in Mathematical Physics
8 Mathematical Methods in the Applied Sciences
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 SIAM Journal on Mathematical Analysis
8 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
7 Czechoslovak Mathematical Journal
7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
6 Advances in Mathematics
6 Publications of the Research Institute for Mathematical Sciences, Kyoto University
6 Transactions of the American Mathematical Society
6 Discrete and Continuous Dynamical Systems
6 Annales Henri Poincaré
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Reviews in Mathematical Physics
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
5 Integral Equations and Operator Theory
5 Numerische Mathematik
5 Acta Applicandae Mathematicae
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Applicable Analysis
4 Mathematics of Computation
4 Journal of the Mathematical Society of Japan
4 Proceedings of the American Mathematical Society
4 The Journal of Geometric Analysis
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Analysis (München)
4 Nonlinear Analysis. Real World Applications
4 Bulletin of Mathematical Sciences
4 Advances in Nonlinear Analysis
3 Journal d’Analyse Mathématique
3 Letters in Mathematical Physics
3 Lithuanian Mathematical Journal
3 Ukrainian Mathematical Journal
3 Acta Mathematica
3 Rendiconti del Seminario Matematico della Università di Padova
3 Tôhoku Mathematical Journal. Second Series
3 Acta Mathematica Hungarica
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Annales de l’Institut Henri Poincaré. Physique Théorique
3 Potential Analysis
3 Journal of Mathematical Sciences (New York)
3 Discrete and Continuous Dynamical Systems. Series B
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Communications on Pure and Applied Analysis
3 Mediterranean Journal of Mathematics
3 Journal of Pseudo-Differential Operators and Applications
3 Nonlinear Analysis. Theory, Methods & Applications
3 SN Partial Differential Equations and Applications
2 Journal of Statistical Physics
2 Applied Mathematics and Optimization
2 Duke Mathematical Journal
2 Functional Analysis and its Applications
2 Journal of Computational and Applied Mathematics
2 Journal of Optimization Theory and Applications
2 Monatshefte für Mathematik
2 Numerical Functional Analysis and Optimization
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Results in Mathematics
2 Numerical Methods for Partial Differential Equations
2 Applied Mathematics Letters
2 NoDEA. Nonlinear Differential Equations and Applications
2 Abstract and Applied Analysis
2 Mathematical Physics, Analysis and Geometry
2 Journal of the Institute of Mathematics of Jussieu
2 Differential Equations and Applications
2 Journal of Elliptic and Parabolic Equations
1 Analysis Mathematica
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Communications on Pure and Applied Mathematics
1 International Journal of Engineering Science
1 International Journal of Theoretical Physics
1 Inverse Problems
1 Mathematical Notes
1 Reports on Mathematical Physics
1 Arkiv för Matematik
1 Journal of Geometry and Physics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Archiv der Mathematik
1 Boletim da Sociedade Brasileira de Matemática
1 Bulletin de la Société Mathématique de France
1 Calcolo
1 Hiroshima Mathematical Journal
1 Indiana University Mathematics Journal
1 Inventiones Mathematicae
1 Memoirs of the American Mathematical Society
...and 62 more Serials
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Cited in 41 Fields

522 Partial differential equations (35-XX)
244 Fluid mechanics (76-XX)
109 Operator theory (47-XX)
76 Quantum theory (81-XX)
48 Functional analysis (46-XX)
32 Numerical analysis (65-XX)
27 Global analysis, analysis on manifolds (58-XX)
18 Statistical mechanics, structure of matter (82-XX)
16 Mechanics of deformable solids (74-XX)
15 Potential theory (31-XX)
13 Calculus of variations and optimal control; optimization (49-XX)
12 Probability theory and stochastic processes (60-XX)
12 Optics, electromagnetic theory (78-XX)
9 Differential geometry (53-XX)
8 Real functions (26-XX)
8 Ordinary differential equations (34-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
8 Biology and other natural sciences (92-XX)
6 Dynamical systems and ergodic theory (37-XX)
5 Measure and integration (28-XX)
4 Integral equations (45-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 History and biography (01-XX)
3 Geophysics (86-XX)
3 Systems theory; control (93-XX)
2 Number theory (11-XX)
2 Functions of a complex variable (30-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Manifolds and cell complexes (57-XX)
2 Mechanics of particles and systems (70-XX)
1 Combinatorics (05-XX)
1 Algebraic geometry (14-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Topological groups, Lie groups (22-XX)
1 Special functions (33-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Computer science (68-XX)
1 Relativity and gravitational theory (83-XX)
1 Operations research, mathematical programming (90-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year