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## Sohr, Hermann

Compute Distance To:
 Author ID: sohr.hermann Published as: Sohr, H.; Sohr, Hermann
 Documents Indexed: 89 Publications since 1973, including 4 Books
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#### Co-Authors

 22 single-authored 35 Farwig, Reinhard 22 Kozono, Hideo 8 Varnhorn, Werner 7 Galdi, Giovanni Paolo 7 Simader, Christian Georg 5 von Wahl, Wolf 3 Giga, Yoshikazu 2 Borchers, Wolfgang 2 Giga, Mariko 2 Prüß, Jan Wilhelm 1 Miyakawa, Tetsuro 1 Ogawa, Takayoshi 1 Specovius-Neugebauer, Maria Ursula 1 Thäter, Gudrun 1 Wiegner, Michael 1 Yamazaki, Masao
all top 5

#### Serials

 6 Mathematische Zeitschrift 5 Mathematische Annalen 4 Journal of the Mathematical Society of Japan 4 Journal of Mathematical Fluid Mechanics 3 Archiv der Mathematik 2 Applicable Analysis 2 Archive for Rational Mechanics and Analysis 2 Mathematical Methods in the Applied Sciences 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Hiroshima Mathematical Journal 2 Hokkaido Mathematical Journal 2 Indiana University Mathematics Journal 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Monatshefte für Mathematik 2 Analysis 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Czechoslovak Mathematical Journal 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Nachrichten der Akademie der Wissenschaften in Göttingen. II. Mathematisch-Physikalische Klasse 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the Japan Academy. Series A 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Ricerche di Matematica 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Topological Methods in Nonlinear Analysis 1 Kyushu Journal of Mathematics 1 Advances in Differential Equations 1 Journal of Evolution Equations 1 RIMS Kôkyûroku Bessatsu 1 Modern Birkhäuser Classics
all top 5

#### Fields

 82 Partial differential equations (35-XX) 55 Fluid mechanics (76-XX) 17 Operator theory (47-XX) 9 Functional analysis (46-XX) 4 Ordinary differential equations (34-XX) 2 Quantum theory (81-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-XX)

#### Citations contained in zbMATH Open

79 Publications have been cited 2,029 times in 1,198 Documents Cited by Year
The Navier-Stokes equations. An elementary functional analytic approach. Zbl 0983.35004
Sohr, Hermann
2001
Abstract $$L^ p$$ estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains. Zbl 0739.35067
Giga, Yoshikazu; Sohr, Hermann
1991
On the equations rot v$$=g$$ and div u$$=f$$ with zero boundary conditions. Zbl 0719.35014
Borchers, Wolfgang; Sohr, Hermann
1990
A new approach to the Helmholtz decomposition and the Neumann problem in $$L^ q$$-spaces for bounded and exterior domains. Zbl 0791.35096
1992
Generalized resolvent estimates for the Stokes system in bounded and unbounded domains. Zbl 0819.35109
Farwig, Reinhard; Sohr, Hermann
1994
On operators with bounded imaginary powers in Banach spaces. Zbl 0665.47015
Prüss, Jan; Sohr, Hermann
1990
On the semigroup of the Stokes operator for exterior domains in L q- spaces. Zbl 0636.76027
Borchers, Wolfgang; Sohr, Hermann
1987
An $$L^q$$-approach to Stokes and Navier-Stokes equations in general domains. Zbl 1111.35033
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
2005
On energy inequality, smoothness and large time behavior in L 2 for weak solutions of the Navier-Stokes equations in exterior domains. Zbl 0642.35067
Miyakawa, Tetsuro; Sohr, Hermann
1988
The Dirichlet problem for the Laplacian in bounded and unbounded domains. Zbl 0868.35001
1996
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.
2005
Zur Regularitätstheorie der instationären Gleichungen von Navier-Stokes. Zbl 0506.35084
Sohr, Hermann
1983
A new class of weak solutions of the Navier-Stokes equations with nonhomogeneous data. Zbl 1104.35032
Farwig, Reinhard; Galdi, Giovanni P.; Sohr, Hermann
2006
Weighted $$L^q$$-theory for the Stokes resolvent in exterior domains. Zbl 0918.35106
Farwig, Reinhard; Sohr, Hermann
1997
On the regularity of the pressure of weak solutions of Navier-Stokes equations. Zbl 0574.35070
Sohr, Hermann; von Wahl, Wolf
1986
A regularity class for the Navier-Stokes equations in Lorentz spaces. Zbl 1007.35051
Sohr, Hermann
2001
New a priori estimates for the Stokes equations in exterior domains. Zbl 0732.35068
Kozono, Hideo; Sohr, Hermann
1991
Remark on uniqueness of weak solutions to the Navier-Stokes equations. Zbl 0864.35082
Kozono, Hideo; Sohr, Hermann
1996
On the Stokes problem in Lipschitz domains. Zbl 0824.35098
Galdi, G. P.; Simader, C. G.; Sohr, H.
1994
Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data. Zbl 1107.76022
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
2007
Imaginary powers of elliptic second order differential operators in $$L^ p$$-spaces. Zbl 0790.35023
Prüss, Jan; Sohr, Hermann
1993
On optimal initial value conditions for local strong solutions of the Navier-Stokes equations. Zbl 1179.35210
Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner
2009
Existence and unqiueness of time-periodic physically reasonable Navier-Stokes flow past a body. Zbl 1056.76021
Galdi, Giovanni P.; Sohr, Hermann
2004
On a new class of generalized solutions for the Stokes equations in exterior domains. Zbl 0770.35055
Kozono, Hideo; Sohr, Hermann
1992
On the Helmholtz decomposition in general unbounded domains. Zbl 1121.35097
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
2007
Very weak solutions and large uniqueness classes of stationary Navier-Stokes equations in bounded domains of $$\mathbb R^2$$. Zbl 1119.35045
Farwig, R.; Galdi, G. P.; Sohr, H.
2006
Helmholtz decomposition and Stokes resolvent system for aperture domains in $$L^ q$$-spaces. Zbl 0847.35101
Farwig, Reinhard; Sohr, Hermann
1996
Weighted estimates for the Oseen equations and the Navier-Stokes equations in exterior domains. Zbl 0934.35120
Farwig, Reinhard; Sohr, Hermann
1998
On the singular set and the uniqueness of weak solutions of the Navier- Stokes equations. Zbl 0567.35069
Sohr, Hermann; von Wahl, Wolf
1984
Regularity criterion of weak solutions to the Navier-Stokes equations. Zbl 1023.35523
Kozono, Hideo; Sohr, Hermann
1997
Optimal initial value conditions for the existence of local strong solutions of the Navier-Stokes equations. Zbl 1173.35096
Farwig, Reinhard; Sohr, Hermann
2009
On the Stokes operator in general unbounded domains. Zbl 1170.76011
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
2009
Very weak solutions of stationary and instationary Navier-Stokes equations with nonhomogeneous data. Zbl 1246.35148
Farwig, Reinhard; Galdi, Giovanni P.; Sohr, Hermann
2005
Asymptotic behaviour in $$L^ r$$ for weak solutions of the Navier-Stokes equations in exterior domains. Zbl 0762.35086
Kozono, Hideo; Ogawa, Takayoshi; Sohr, Hermann
1992
Global estimates in weighted spaces of weak solutions of the Navier-Stokes equations in exterior domains. Zbl 0855.35099
Farwig, R.; Sohr, H.
1996
Zur Asymptotik der Gleichungen von Navier-Stokes. (Asymptotics of Navier- Stokes equations). Zbl 0629.35100
Sohr, Hermann; von Wahl, Wolf; Wiegner, Michael
1986
Local in time regularity properties of the Navier-Stokes equations. Zbl 1175.35100
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
2007
The Navier-Stokes equations. An elementary functional analytic approach. Reprint of the 2001 hardback ed. Zbl 1388.35001
Sohr, Hermann
2013
Density properties for solenoidal vector fields, with applications to the Navier-Stokes equations in exterior domains. Zbl 0767.35060
Kozono, Hideo; Sohr, Hermann
1992
Existence, uniqueness and regularity of stationary solutions to inhomogeneous Navier-Stokes equations in $$\mathbb R^n$$. Zbl 1224.76034
Farwig, R.; Sohr, H.
2009
On the asymptotic structure of plane steady flow of a viscous fluid in exterior domains. Zbl 0840.35076
Galdi, Giovanni P.; Sohr, Hermann
1995
On the Stokes and Navier-Stokes system for domains with noncompact boundary in $$L^ q$$-spaces. Zbl 0836.35117
Farwig, Reinhard; Sohr, Hermann
1994
$$L^ p$$ estimates for the Stokes system. Zbl 0804.47019
Giga, Mariko; Giga, Yoshikazu; Sohr, Hermann
1993
Extensions of Serrin’s uniqueness and regularity conditions for the Navier-Stokes equations. Zbl 1254.76053
Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner
2012
Imaginary powers of second order differential operators and $$L^q$$-Helmholtz decomposition in the infinite cylinder. Zbl 0911.35088
Sohr, Hermann; Thäter, Gudrun
1998
Weighted energy inequalities for the Navier-Stokes equations in exterior domains. Zbl 0833.35107
Farwig, Reinhard; Sohr, Hermann
1995
A new proof of Leray’s structure theorem and the smoothness of weak solutions of Navier-Stokes equations for large $$| x|$$. Zbl 0681.35073
Sohr, Hermann; von Wahl, Wolf
1985
Representation formula, net force and energy relation to the stationary Navier-Stokes equations in 3-dimensional exterior domains. Zbl 0890.35102
Kozono, Hideo; Sohr, Hermann; Yamazaki, Masao
1997
The stationary and non-stationary Stokes system in exterior domains with non-zero divergence and non-zero boundary values. Zbl 0798.35125
Farwig, Reinhard; Sohr, Hermann
1994
Global weak solutions of the Navier-Stokes equations with nonhomogeneous boundary data and divergence. Zbl 1236.35103
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
2011
Maximal regularity of the Stokes operator in general unbounded domains of $$\mathbb R^n$$. Zbl 1171.35448
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
2008
A generalization of Serrin’s regularity criterion for the Navier-Stokes equations. Zbl 1062.35075
Sohr, Hermann
2002
On stationary Navier-Stokes equations in unbounded domains. Zbl 0803.35107
Kozono, Hideo; Sohr, Hermann
1993
$$L^ p$$ estimate for abstract linear parabolic equations. Zbl 0754.35018
Giga, Mariko; Giga, Yoshikazu; Sohr, Hermann
1991
Optimale lokale Existenzsätze für die Gleichungen von Navier-Stokes. Zbl 0552.35059
Sohr, Hermann
1984
Necessary and sufficient conditions on local strong solvability of the Navier-Stokes system. Zbl 1209.35096
Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner
2011
On the existence of local strong solutions for the Navier-Stokes equations in completely general domains. Zbl 1194.35306
Farwig, Reinhard; Sohr, Hermann
2010
Criteria of local in time regularity of the Navier-Stokes equations beyond Serrin’s condition. Zbl 1154.35416
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
2008
An approach to resolvent estimates for the Stokes equations in $$L^ q$$- spaces. Zbl 0779.35087
Farwig, Reinhard; Sohr, Hermann
1992
Über die Selbstadjungiertheit von Schrödinger-Operatoren. Zbl 0363.47015
Sohr, Hermann
1978
Besov space regularity conditions for weak solutions of the Navier-Stokes equations. Zbl 1291.35177
Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner
2014
Global weak solutions of the Navier-Stokes system with nonzero boundary conditions. Zbl 1291.35030
Farwig, R.; Kozono, H.; Sohr, H.
2010
Energy-based regularity criteria for the Navier-Stokes equations. Zbl 1185.35162
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
2009
On decay properties of the Stokes equations in exterior domains. Zbl 0719.35069
Sohr, Hermann; Varnhorn, Werner
1990
Global Leray-Hopf weak solutions of the Navier-Stokes equations with nonzero time-dependent boundary values. Zbl 1247.35090
Farwig, R.; Kozono, H.; Sohr, H.
2011
The Stokes resolvent problem in general unbounded domains. Zbl 1127.35035
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
2007
An $$L^ q$$-theory for weak solutions of the Stokes system in exterior domains. Zbl 0787.35063
Farwig, R.; Simader, C. G.; Sohr, H.
1993
Generic solvability of the equations of Navier-Stokes. Zbl 0676.35073
Sohr, Hermann; von Wahl, Wolf
1987
General properties of the Helmholtz decomposition in spaces of $$L^q$$-type. Zbl 1349.35292
Farwig, Reinhard; Simader, Christian; Sohr, Hermann; Varnhorn, Werner
2016
Necessary and sufficient conditions for the existence of Helmholtz decompositions in general domains. Zbl 1304.35506
Simader, Christian G.; Sohr, Hermann; Varnhorn, Werner
2014
Regularity of weak solutions for the Navier-Stokes equations via energy criteria. Zbl 1374.35280
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
2010
The Stokes problem for exterior domains in homogeneous Sobolev spaces. Zbl 0928.35124
Sohr, Hermann; Specovius-Neugebauer, Maria
1998
Störungskriterien im reflexiven Banachraum. Zbl 0383.47015
Sohr, Hermann
1978
Local strong solutions of the nonhomogeneous Navier-Stokes system with control of the interval of existence. Zbl 1362.35207
Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner
2015
A special class of weak solutions of the Navier-Stokes equations in arbitrary three-dimensional domains. Zbl 0922.35121
Sohr, Hermann
1999
A new perturbation criterion for two nonlinear m-accretive operators with applications to semilinear equations. Zbl 0476.47038
Sohr, Hermann
1982
Störungstheoretische Regularitätsuntersuchungen. Zbl 0458.35023
Sohr, Hermann
1982
Ein neues Surjektivitätskriterium im Hilbertraum. Zbl 0452.47014
Sohr, Hermann
1981
Über die Existenz von Wellenoperatoren für zeitabhängige Störungen. Zbl 0398.34054
Sohr, Hermann
1978
General properties of the Helmholtz decomposition in spaces of $$L^q$$-type. Zbl 1349.35292
Farwig, Reinhard; Simader, Christian; Sohr, Hermann; Varnhorn, Werner
2016
Local strong solutions of the nonhomogeneous Navier-Stokes system with control of the interval of existence. Zbl 1362.35207
Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner
2015
Besov space regularity conditions for weak solutions of the Navier-Stokes equations. Zbl 1291.35177
Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner
2014
Necessary and sufficient conditions for the existence of Helmholtz decompositions in general domains. Zbl 1304.35506
Simader, Christian G.; Sohr, Hermann; Varnhorn, Werner
2014
The Navier-Stokes equations. An elementary functional analytic approach. Reprint of the 2001 hardback ed. Zbl 1388.35001
Sohr, Hermann
2013
Extensions of Serrin’s uniqueness and regularity conditions for the Navier-Stokes equations. Zbl 1254.76053
Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner
2012
Global weak solutions of the Navier-Stokes equations with nonhomogeneous boundary data and divergence. Zbl 1236.35103
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
2011
Necessary and sufficient conditions on local strong solvability of the Navier-Stokes system. Zbl 1209.35096
Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner
2011
Global Leray-Hopf weak solutions of the Navier-Stokes equations with nonzero time-dependent boundary values. Zbl 1247.35090
Farwig, R.; Kozono, H.; Sohr, H.
2011
On the existence of local strong solutions for the Navier-Stokes equations in completely general domains. Zbl 1194.35306
Farwig, Reinhard; Sohr, Hermann
2010
Global weak solutions of the Navier-Stokes system with nonzero boundary conditions. Zbl 1291.35030
Farwig, R.; Kozono, H.; Sohr, H.
2010
Regularity of weak solutions for the Navier-Stokes equations via energy criteria. Zbl 1374.35280
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
2010
On optimal initial value conditions for local strong solutions of the Navier-Stokes equations. Zbl 1179.35210
Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner
2009
Optimal initial value conditions for the existence of local strong solutions of the Navier-Stokes equations. Zbl 1173.35096
Farwig, Reinhard; Sohr, Hermann
2009
On the Stokes operator in general unbounded domains. Zbl 1170.76011
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
2009
Existence, uniqueness and regularity of stationary solutions to inhomogeneous Navier-Stokes equations in $$\mathbb R^n$$. Zbl 1224.76034
Farwig, R.; Sohr, H.
2009
Energy-based regularity criteria for the Navier-Stokes equations. Zbl 1185.35162
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
2009
Maximal regularity of the Stokes operator in general unbounded domains of $$\mathbb R^n$$. Zbl 1171.35448
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
2008
Criteria of local in time regularity of the Navier-Stokes equations beyond Serrin’s condition. Zbl 1154.35416
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
2008
Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data. Zbl 1107.76022
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
2007
On the Helmholtz decomposition in general unbounded domains. Zbl 1121.35097
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
2007
Local in time regularity properties of the Navier-Stokes equations. Zbl 1175.35100
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
2007
The Stokes resolvent problem in general unbounded domains. Zbl 1127.35035
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
2007
A new class of weak solutions of the Navier-Stokes equations with nonhomogeneous data. Zbl 1104.35032
Farwig, Reinhard; Galdi, Giovanni P.; Sohr, Hermann
2006
Very weak solutions and large uniqueness classes of stationary Navier-Stokes equations in bounded domains of $$\mathbb R^2$$. Zbl 1119.35045
Farwig, R.; Galdi, G. P.; Sohr, H.
2006
An $$L^q$$-approach to Stokes and Navier-Stokes equations in general domains. Zbl 1111.35033
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann
2005
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.
2005
Very weak solutions of stationary and instationary Navier-Stokes equations with nonhomogeneous data. Zbl 1246.35148
Farwig, Reinhard; Galdi, Giovanni P.; Sohr, Hermann
2005
Existence and unqiueness of time-periodic physically reasonable Navier-Stokes flow past a body. Zbl 1056.76021
Galdi, Giovanni P.; Sohr, Hermann
2004
A generalization of Serrin’s regularity criterion for the Navier-Stokes equations. Zbl 1062.35075
Sohr, Hermann
2002
The Navier-Stokes equations. An elementary functional analytic approach. Zbl 0983.35004
Sohr, Hermann
2001
A regularity class for the Navier-Stokes equations in Lorentz spaces. Zbl 1007.35051
Sohr, Hermann
2001
A special class of weak solutions of the Navier-Stokes equations in arbitrary three-dimensional domains. Zbl 0922.35121
Sohr, Hermann
1999
Weighted estimates for the Oseen equations and the Navier-Stokes equations in exterior domains. Zbl 0934.35120
Farwig, Reinhard; Sohr, Hermann
1998
Imaginary powers of second order differential operators and $$L^q$$-Helmholtz decomposition in the infinite cylinder. Zbl 0911.35088
Sohr, Hermann; Thäter, Gudrun
1998
The Stokes problem for exterior domains in homogeneous Sobolev spaces. Zbl 0928.35124
Sohr, Hermann; Specovius-Neugebauer, Maria
1998
Weighted $$L^q$$-theory for the Stokes resolvent in exterior domains. Zbl 0918.35106
Farwig, Reinhard; Sohr, Hermann
1997
Regularity criterion of weak solutions to the Navier-Stokes equations. Zbl 1023.35523
Kozono, Hideo; Sohr, Hermann
1997
Representation formula, net force and energy relation to the stationary Navier-Stokes equations in 3-dimensional exterior domains. Zbl 0890.35102
Kozono, Hideo; Sohr, Hermann; Yamazaki, Masao
1997
The Dirichlet problem for the Laplacian in bounded and unbounded domains. Zbl 0868.35001
1996
Remark on uniqueness of weak solutions to the Navier-Stokes equations. Zbl 0864.35082
Kozono, Hideo; Sohr, Hermann
1996
Helmholtz decomposition and Stokes resolvent system for aperture domains in $$L^ q$$-spaces. Zbl 0847.35101
Farwig, Reinhard; Sohr, Hermann
1996
Global estimates in weighted spaces of weak solutions of the Navier-Stokes equations in exterior domains. Zbl 0855.35099
Farwig, R.; Sohr, H.
1996
On the asymptotic structure of plane steady flow of a viscous fluid in exterior domains. Zbl 0840.35076
Galdi, Giovanni P.; Sohr, Hermann
1995
Weighted energy inequalities for the Navier-Stokes equations in exterior domains. Zbl 0833.35107
Farwig, Reinhard; Sohr, Hermann
1995
Generalized resolvent estimates for the Stokes system in bounded and unbounded domains. Zbl 0819.35109
Farwig, Reinhard; Sohr, Hermann
1994
On the Stokes problem in Lipschitz domains. Zbl 0824.35098
Galdi, G. P.; Simader, C. G.; Sohr, H.
1994
On the Stokes and Navier-Stokes system for domains with noncompact boundary in $$L^ q$$-spaces. Zbl 0836.35117
Farwig, Reinhard; Sohr, Hermann
1994
The stationary and non-stationary Stokes system in exterior domains with non-zero divergence and non-zero boundary values. Zbl 0798.35125
Farwig, Reinhard; Sohr, Hermann
1994
Imaginary powers of elliptic second order differential operators in $$L^ p$$-spaces. Zbl 0790.35023
Prüss, Jan; Sohr, Hermann
1993
$$L^ p$$ estimates for the Stokes system. Zbl 0804.47019
Giga, Mariko; Giga, Yoshikazu; Sohr, Hermann
1993
On stationary Navier-Stokes equations in unbounded domains. Zbl 0803.35107
Kozono, Hideo; Sohr, Hermann
1993
An $$L^ q$$-theory for weak solutions of the Stokes system in exterior domains. Zbl 0787.35063
Farwig, R.; Simader, C. G.; Sohr, H.
1993
A new approach to the Helmholtz decomposition and the Neumann problem in $$L^ q$$-spaces for bounded and exterior domains. Zbl 0791.35096
1992
On a new class of generalized solutions for the Stokes equations in exterior domains. Zbl 0770.35055
Kozono, Hideo; Sohr, Hermann
1992
Asymptotic behaviour in $$L^ r$$ for weak solutions of the Navier-Stokes equations in exterior domains. Zbl 0762.35086
Kozono, Hideo; Ogawa, Takayoshi; Sohr, Hermann
1992
Density properties for solenoidal vector fields, with applications to the Navier-Stokes equations in exterior domains. Zbl 0767.35060
Kozono, Hideo; Sohr, Hermann
1992
An approach to resolvent estimates for the Stokes equations in $$L^ q$$- spaces. Zbl 0779.35087
Farwig, Reinhard; Sohr, Hermann
1992
Abstract $$L^ p$$ estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains. Zbl 0739.35067
Giga, Yoshikazu; Sohr, Hermann
1991
New a priori estimates for the Stokes equations in exterior domains. Zbl 0732.35068
Kozono, Hideo; Sohr, Hermann
1991
$$L^ p$$ estimate for abstract linear parabolic equations. Zbl 0754.35018
Giga, Mariko; Giga, Yoshikazu; Sohr, Hermann
1991
On the equations rot v$$=g$$ and div u$$=f$$ with zero boundary conditions. Zbl 0719.35014
Borchers, Wolfgang; Sohr, Hermann
1990
On operators with bounded imaginary powers in Banach spaces. Zbl 0665.47015
Prüss, Jan; Sohr, Hermann
1990
On decay properties of the Stokes equations in exterior domains. Zbl 0719.35069
Sohr, Hermann; Varnhorn, Werner
1990
On energy inequality, smoothness and large time behavior in L 2 for weak solutions of the Navier-Stokes equations in exterior domains. Zbl 0642.35067
Miyakawa, Tetsuro; Sohr, Hermann
1988
On the semigroup of the Stokes operator for exterior domains in L q- spaces. Zbl 0636.76027
Borchers, Wolfgang; Sohr, Hermann
1987
Generic solvability of the equations of Navier-Stokes. Zbl 0676.35073
Sohr, Hermann; von Wahl, Wolf
1987
On the regularity of the pressure of weak solutions of Navier-Stokes equations. Zbl 0574.35070
Sohr, Hermann; von Wahl, Wolf
1986
Zur Asymptotik der Gleichungen von Navier-Stokes. (Asymptotics of Navier- Stokes equations). Zbl 0629.35100
Sohr, Hermann; von Wahl, Wolf; Wiegner, Michael
1986
A new proof of Leray’s structure theorem and the smoothness of weak solutions of Navier-Stokes equations for large $$| x|$$. Zbl 0681.35073
Sohr, Hermann; von Wahl, Wolf
1985
On the singular set and the uniqueness of weak solutions of the Navier- Stokes equations. Zbl 0567.35069
Sohr, Hermann; von Wahl, Wolf
1984
Optimale lokale Existenzsätze für die Gleichungen von Navier-Stokes. Zbl 0552.35059
Sohr, Hermann
1984
Zur Regularitätstheorie der instationären Gleichungen von Navier-Stokes. Zbl 0506.35084
Sohr, Hermann
1983
A new perturbation criterion for two nonlinear m-accretive operators with applications to semilinear equations. Zbl 0476.47038
Sohr, Hermann
1982
Störungstheoretische Regularitätsuntersuchungen. Zbl 0458.35023
Sohr, Hermann
1982
Ein neues Surjektivitätskriterium im Hilbertraum. Zbl 0452.47014
Sohr, Hermann
1981
Über die Selbstadjungiertheit von Schrödinger-Operatoren. Zbl 0363.47015
Sohr, Hermann
1978
Störungskriterien im reflexiven Banachraum. Zbl 0383.47015
Sohr, Hermann
1978
Über die Existenz von Wellenoperatoren für zeitabhängige Störungen. Zbl 0398.34054
Sohr, Hermann
1978
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#### Cited by 1,055 Authors

 43 Farwig, Reinhard 37 Kozono, Hideo 28 Sohr, Hermann 25 Amrouche, Chérif 24 Winkler, Michael 22 Maremonti, Paolo 21 Skalák, Zdeněk 17 Bae, Hyeong-Ohk 17 Ciarlet, Philippe Gaston 17 Galdi, Giovanni Paolo 17 Giga, Yoshikazu 17 Neustupa, Jiří 16 Hieber, Matthias 15 Jin, Bum Ja 15 Kang, Kyungkeun 15 Wolf, Jörg 14 Nečasová, Šárka 13 Berselli, Luigi Carlo 13 Feireisl, Eduard 13 Hishida, Toshiaki 13 Varnhorn, Werner 11 Medková, Dagmar 11 Prüß, Jan Wilhelm 10 Chang, Tongkeun 10 Choe, Hi Jun 10 Kim, Hyunseok 10 Shibata, Yoshihiro 10 Taniuchi, Yasushi 9 He, Cheng 9 Seregin, Gregory A. 9 Shimizu, Senjo 8 Han, Pigong 8 Kučera, Petr 8 Kunstmann, Peer Christian 8 Lee, Jihoon 8 Nguyen Thieu Huy 8 Wang, Yanqing 8 Zhang, Zhifei 8 Zheng, Jiashan 7 Beirão da Veiga, Hugo 7 Borchers, Wolfgang 7 Gala, Sadek 7 Labbas, Rabah 7 Maekawa, Yasunori 7 Meslameni, Mohamed 7 Miyakawa, Tetsuro 7 Penel, Patrick 7 Schumacher, Katrin 7 Wang, Yulan 7 Yanagisawa, Taku 6 Abe, Ken 6 Abels, Helmut 6 Cao, Xinru 6 Chae, Dongho 6 Chen, Qionglei 6 Deuring, Paul 6 Fan, Jishan 6 Geissert, Matthias 6 Guerrero, Sergio 6 Guo, Zhengguang 6 Haroske, Dorothee D. 6 Jiu, Quansen 6 Komo, Christian 6 Maingot, Stéphane 6 Ogawa, Takayoshi 6 Pileckas, Konstantin 6 Razafison, Ulrich 6 Roh, Jaiok 6 Rojas-Medar, Marko Antonio 6 Saal, Jürgen 6 Salgado, Abner J. 6 Schonbek, Maria Elena 6 Tao, Youshan 6 Tartaglione, Alfonsina 5 Al Baba, Hind 5 Barker, Tobias 5 Black, Tobias 5 Brzeźniak, Zdzisław 5 Clément, Philippe J. E. 5 Fang, Daoyuan 5 Garcke, Harald 5 John, Volker 5 Kagei, Yoshiyuki 5 Kim, Dugyu 5 Kim, Jaemyoung 5 Kotschote, Matthias 5 Kračmar, Stanislav 5 Kukavica, Igor 5 Liu, Ji 5 Málek, Josef 5 Mardare, Cristinel 5 Miara, Bernadette 5 Nakatsuka, Tomoyuki 5 Otárola, Enrique 5 Ri, Myong-Hwan 5 Riechwald, Paul Felix 5 Rodríguez-Bellido, Maria Angeles 5 Russo, Remigio 5 Růžička, Michael 5 Shakhmurov, Veli B. ...and 955 more Authors
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#### Cited in 191 Serials

 116 Journal of Differential Equations 74 Journal of Mathematical Fluid Mechanics 58 Journal of Mathematical Analysis and Applications 52 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 51 Archive for Rational Mechanics and Analysis 35 Journal of Functional Analysis 30 Mathematical Methods in the Applied Sciences 28 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 26 Mathematische Annalen 24 ZAMP. Zeitschrift für angewandte Mathematik und Physik 24 Mathematische Zeitschrift 23 Communications in Partial Differential Equations 23 Journal of Evolution Equations 21 Nonlinear Analysis. Real World Applications 17 Communications in Mathematical Physics 17 Proceedings of the American Mathematical Society 17 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 17 Journal de Mathématiques Pures et Appliquées. Neuvième Série 17 Discrete and Continuous Dynamical Systems 15 Journal of Mathematical Physics 15 Manuscripta Mathematica 14 Acta Applicandae Mathematicae 13 SIAM Journal on Mathematical Analysis 13 Calculus of Variations and Partial Differential Equations 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Annali di Matematica Pura ed Applicata. Serie Quarta 12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 10 Applications of Mathematics 10 Journal of Mathematical Sciences (New York) 9 Applicable Analysis 9 Czechoslovak Mathematical Journal 9 Journal of the Mathematical Society of Japan 9 Mathematische Nachrichten 9 Discrete and Continuous Dynamical Systems. Series B 8 Communications on Pure and Applied Analysis 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 7 Archiv der Mathematik 7 Discrete and Continuous Dynamical Systems. Series S 6 Acta Mathematica 6 Tohoku Mathematical Journal. Second Series 6 Transactions of the American Mathematical Society 6 Abstract and Applied Analysis 6 Mediterranean Journal of Mathematics 5 Nonlinearity 5 Integral Equations and Operator Theory 5 Proceedings of the Japan Academy. Series A 5 Zeitschrift für Analysis und ihre Anwendungen 5 Applied Mathematics Letters 5 Journal of Dynamics and Differential Equations 5 NoDEA. Nonlinear Differential Equations and Applications 5 Boundary Value Problems 5 Advances in Nonlinear Analysis 4 Computers & Mathematics with Applications 4 Mathematics of Computation 4 Monatshefte für Mathematik 4 Numerische Mathematik 4 Physica D 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Revista Matemática Complutense 4 Analysis (München) 4 Nonlinear Analysis. Theory, Methods & Applications 4 Journal of Elliptic and Parabolic Equations 3 Computer Methods in Applied Mechanics and Engineering 3 Communications on Pure and Applied Mathematics 3 Lithuanian Mathematical Journal 3 The Annals of Probability 3 Applied Mathematics and Optimization 3 Journal of Computational and Applied Mathematics 3 Numerical Functional Analysis and Optimization 3 Quarterly of Applied Mathematics 3 Rendiconti del Seminario Matematico della Università di Padova 3 SIAM Journal on Numerical Analysis 3 Chinese Annals of Mathematics. Series B 3 Acta Mathematicae Applicatae Sinica. English Series 3 Japan Journal of Industrial and Applied Mathematics 3 Journal of Elasticity 3 SIAM Journal on Applied Mathematics 3 Potential Analysis 3 Doklady Mathematics 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Complex Variables and Elliptic Equations 2 Bulletin of the Australian Mathematical Society 2 Journal of Fluid Mechanics 2 Annales Polonici Mathematici 2 Duke Mathematical Journal 2 Hiroshima Mathematical Journal 2 International Journal for Numerical Methods in Engineering 2 Journal of Optimization Theory and Applications 2 Journal für die Reine und Angewandte Mathematik 2 Results in Mathematics 2 Ricerche di Matematica 2 SIAM Journal on Control and Optimization 2 Journal of Integral Equations and Applications 2 The Journal of Geometric Analysis 2 Stochastic Processes and their Applications 2 Journal of Nonlinear Science 2 St. Petersburg Mathematical Journal 2 Advances in Computational Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Vietnam Journal of Mathematics ...and 91 more Serials
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#### Cited in 39 Fields

 1,073 Partial differential equations (35-XX) 758 Fluid mechanics (76-XX) 93 Operator theory (47-XX) 91 Biology and other natural sciences (92-XX) 72 Functional analysis (46-XX) 54 Mechanics of deformable solids (74-XX) 47 Numerical analysis (65-XX) 31 Harmonic analysis on Euclidean spaces (42-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 30 Probability theory and stochastic processes (60-XX) 18 Systems theory; control (93-XX) 16 Ordinary differential equations (34-XX) 15 Real functions (26-XX) 15 Classical thermodynamics, heat transfer (80-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Integral equations (45-XX) 9 Potential theory (31-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Differential geometry (53-XX) 6 Geophysics (86-XX) 4 Functions of a complex variable (30-XX) 4 Approximations and expansions (41-XX) 4 Optics, electromagnetic theory (78-XX) 4 Quantum theory (81-XX) 3 Measure and integration (28-XX) 3 Integral transforms, operational calculus (44-XX) 2 History and biography (01-XX) 2 Abstract harmonic analysis (43-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX)