Edit Profile (opens in new tab) Sohr, Hermann Co-Author Distance Author ID: sohr.hermann Published as: Sohr, Hermann; Sohr, H. Documents Indexed: 89 Publications since 1973, including 4 Books 1 Further Contribution Co-Authors: 16 Co-Authors with 67 Joint Publications 487 Co-Co-Authors all top 5 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 Finn, Robert Samuel 1 Friedlander, Susan Jean 1 Joseph, Daniel D. 1 Miyakawa, Tetsuro 1 Ogawa, Takayoshi 1 Russo, Remigio 1 Simader, Christin G. 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 Pitman Research Notes in Mathematics Series 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 History and biography (01-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 79 Publications have been cited 2,527 times in 1,525 Documents Cited by ▼ Year ▼ The Navier-Stokes equations. An elementary functional analytic approach. Zbl 0983.35004Sohr, Hermann 424 2001 Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains. Zbl 0739.35067Giga, Yoshikazu; Sohr, Hermann 307 1991 On the equations rotv\(=g\) and divu\(=f\) with zero boundary conditions. Zbl 0719.35014Borchers, Wolfgang; Sohr, Hermann 130 1990 A new approach to the Helmholtz decomposition and the Neumann problem in \(L^ q\)-spaces for bounded and exterior domains. Zbl 0791.35096Simader, Christian G.; Sohr, Hermann 115 1992 Generalized resolvent estimates for the Stokes system in bounded and unbounded domains. Zbl 0819.35109Farwig, Reinhard; Sohr, Hermann 86 1994 On operators with bounded imaginary powers in Banach spaces. Zbl 0665.47015Prüss, Jan; Sohr, Hermann 78 1990 An \(L^q\)-approach to Stokes and Navier-Stokes equations in general domains. Zbl 1111.35033Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 69 2005 On the semigroup of the Stokes operator for exterior domains in L q- spaces. Zbl 0636.76027Borchers, Wolfgang; Sohr, Hermann 65 1987 On energy inequality, smoothness and large time behavior in L 2 for weak solutions of the Navier-Stokes equations in exterior domains. Zbl 0642.35067Miyakawa, Tetsuro; Sohr, Hermann 61 1988 The Dirichlet problem for the Laplacian in bounded and unbounded domains. Zbl 0868.35001Simader, C. G.; Sohr, H. 58 1996 On the Stokes problem in Lipschitz domains. Zbl 0824.35098Galdi, 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 1064.35133Galdi, G. P.; Simader, C. G.; Sohr, H. 51 2005 Weighted \(L^q\)-theory for the Stokes resolvent in exterior domains. Zbl 0918.35106Farwig, Reinhard; Sohr, Hermann 50 1997 On the regularity of the pressure of weak solutions of Navier-Stokes equations. Zbl 0574.35070Sohr, Hermann; von Wahl, Wolf 49 1986 Zur Regularitätstheorie der instationären Gleichungen von Navier-Stokes. Zbl 0506.35084Sohr, Hermann 48 1983 A new class of weak solutions of the Navier-Stokes equations with nonhomogeneous data. Zbl 1104.35032Farwig, Reinhard; Galdi, Giovanni P.; Sohr, Hermann 45 2006 A regularity class for the Navier-Stokes equations in Lorentz spaces. Zbl 1007.35051Sohr, Hermann 45 2001 New a priori estimates for the Stokes equations in exterior domains. Zbl 0732.35068Kozono, Hideo; Sohr, Hermann 42 1991 Existence and unqiueness of time-periodic physically reasonable Navier-Stokes flow past a body. Zbl 1056.76021Galdi, Giovanni P.; Sohr, Hermann 42 2004 Remark on uniqueness of weak solutions to the Navier-Stokes equations. Zbl 0864.35082Kozono, Hideo; Sohr, Hermann 40 1996 Imaginary powers of elliptic second order differential operators in \(L^ p\)-spaces. Zbl 0790.35023Prüss, Jan; Sohr, Hermann 37 1993 Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data. Zbl 1107.76022Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 34 2007 On a new class of generalized solutions for the Stokes equations in exterior domains. Zbl 0770.35055Kozono, Hideo; Sohr, Hermann 31 1992 On optimal initial value conditions for local strong solutions of the Navier-Stokes equations. Zbl 1179.35210Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner 30 2009 On the Helmholtz decomposition in general unbounded domains. Zbl 1121.35097Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 29 2007 On the singular set and the uniqueness of weak solutions of the Navier- Stokes equations. Zbl 0567.35069Sohr, Hermann; von Wahl, Wolf 26 1984 Helmholtz decomposition and Stokes resolvent system for aperture domains in \(L^ q\)-spaces. Zbl 0847.35101Farwig, Reinhard; Sohr, Hermann 26 1996 Very weak solutions and large uniqueness classes of stationary Navier-Stokes equations in bounded domains of \(\mathbb R^2\). Zbl 1119.35045Farwig, R.; Galdi, G. P.; Sohr, H. 25 2006 Regularity criterion of weak solutions to the Navier-Stokes equations. Zbl 1023.35523Kozono, Hideo; Sohr, Hermann 23 1997 Weighted estimates for the Oseen equations and the Navier-Stokes equations in exterior domains. Zbl 0934.35120Farwig, Reinhard; Sohr, Hermann 23 1998 On the Stokes operator in general unbounded domains. Zbl 1170.76011Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 22 2009 Optimal initial value conditions for the existence of local strong solutions of the Navier-Stokes equations. Zbl 1173.35096Farwig, Reinhard; Sohr, Hermann 21 2009 Asymptotic behaviour in \(L^ r\) for weak solutions of the Navier-Stokes equations in exterior domains. Zbl 0762.35086Kozono, Hideo; Ogawa, Takayoshi; Sohr, Hermann 19 1992 Very weak solutions of stationary and instationary Navier-Stokes equations with nonhomogeneous data. Zbl 1246.35148Farwig, Reinhard; Galdi, Giovanni P.; Sohr, Hermann 18 2005 Global estimates in weighted spaces of weak solutions of the Navier-Stokes equations in exterior domains. Zbl 0855.35099Farwig, R.; Sohr, H. 17 1996 Existence, uniqueness and regularity of stationary solutions to inhomogeneous Navier-Stokes equations in \(\mathbb R^n\). Zbl 1224.76034Farwig, R.; Sohr, H. 15 2009 On the asymptotic structure of plane steady flow of a viscous fluid in exterior domains. Zbl 0840.35076Galdi, Giovanni P.; Sohr, Hermann 15 1995 Density properties for solenoidal vector fields, with applications to the Navier-Stokes equations in exterior domains. Zbl 0767.35060Kozono, Hideo; Sohr, Hermann 14 1992 On stationary Navier-Stokes equations in unbounded domains. Zbl 0803.35107Kozono, Hideo; Sohr, Hermann 13 1993 Local in time regularity properties of the Navier-Stokes equations. Zbl 1175.35100Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 13 2007 Representation formula, net force and energy relation to the stationary Navier-Stokes equations in 3-dimensional exterior domains. Zbl 0890.35102Kozono, Hideo; Sohr, Hermann; Yamazaki, Masao 12 1997 Zur Asymptotik der Gleichungen von Navier-Stokes. (Asymptotics of Navier- Stokes equations). Zbl 0629.35100Sohr, Hermann; von Wahl, Wolf; Wiegner, Michael 12 1986 The Navier-Stokes equations. An elementary functional analytic approach. Reprint of the 2001 hardback ed. Zbl 1388.35001Sohr, Hermann 12 2013 \(L^ p\) estimates for the Stokes system. Zbl 0804.47019Giga, Mariko; Giga, Yoshikazu; Sohr, Hermann 11 1993 On the Stokes and Navier-Stokes system for domains with noncompact boundary in \(L^ q\)-spaces. Zbl 0836.35117Farwig, Reinhard; Sohr, Hermann 11 1994 Extensions of Serrin’s uniqueness and regularity conditions for the Navier-Stokes equations. Zbl 1254.76053Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner 11 2012 Weighted energy inequalities for the Navier-Stokes equations in exterior domains. Zbl 0833.35107Farwig, Reinhard; Sohr, Hermann 10 1995 Imaginary powers of second order differential operators and \(L^q\)-Helmholtz decomposition in the infinite cylinder. Zbl 0911.35088Sohr, Hermann; Thäter, Gudrun 9 1998 \(L^ p\) estimate for abstract linear parabolic equations. Zbl 0754.35018Giga, Mariko; Giga, Yoshikazu; Sohr, Hermann 8 1991 Global weak solutions of the Navier-Stokes equations with nonhomogeneous boundary data and divergence. Zbl 1236.35103Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 8 2011 A new proof of Leray’s structure theorem and the smoothness of weak solutions of Navier-Stokes equations for large \(| x|\). Zbl 0681.35073Sohr, Hermann; von Wahl, Wolf 8 1985 The stationary and non-stationary Stokes system in exterior domains with non-zero divergence and non-zero boundary values. Zbl 0798.35125Farwig, Reinhard; Sohr, Hermann 7 1994 Maximal regularity of the Stokes operator in general unbounded domains of \(\mathbb R^n\). Zbl 1171.35448Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 7 2008 Global Leray-Hopf weak solutions of the Navier-Stokes equations with nonzero time-dependent boundary values. Zbl 1247.35090Farwig, R.; Kozono, H.; Sohr, H. 6 2011 On the existence of local strong solutions for the Navier-Stokes equations in completely general domains. Zbl 1194.35306Farwig, Reinhard; Sohr, Hermann 6 2010 Optimale lokale Existenzsätze für die Gleichungen von Navier-Stokes. Zbl 0552.35059Sohr, Hermann 6 1984 Über die Selbstadjungiertheit von Schrödinger-Operatoren. Zbl 0363.47015Sohr, Hermann 6 1978 Criteria of local in time regularity of the Navier-Stokes equations beyond Serrin’s condition. Zbl 1154.35416Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 6 2008 A generalization of Serrin’s regularity criterion for the Navier-Stokes equations. Zbl 1062.35075Sohr, Hermann 6 2002 An approach to resolvent estimates for the Stokes equations in \(L^ q\)- spaces. Zbl 0779.35087Farwig, Reinhard; Sohr, Hermann 5 1992 Necessary and sufficient conditions on local strong solvability of the Navier-Stokes system. Zbl 1209.35096Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner 5 2011 Global weak solutions of the Navier-Stokes system with nonzero boundary conditions. Zbl 1291.35030Farwig, R.; Kozono, H.; Sohr, H. 5 2010 Energy-based regularity criteria for the Navier-Stokes equations. Zbl 1185.35162Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 5 2009 Necessary and sufficient conditions for the existence of Helmholtz decompositions in general domains. Zbl 1304.35506Simader, Christian G.; Sohr, Hermann; Varnhorn, Werner 4 2014 Besov space regularity conditions for weak solutions of the Navier-Stokes equations. Zbl 1291.35177Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner 4 2014 Generic solvability of the equations of Navier-Stokes. Zbl 0676.35073Sohr, Hermann; von Wahl, Wolf 4 1987 The Stokes resolvent problem in general unbounded domains. Zbl 1127.35035Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 4 2007 On decay properties of the Stokes equations in exterior domains. Zbl 0719.35069Sohr, Hermann; Varnhorn, Werner 4 1990 An \(L^ q\)-theory for weak solutions of the Stokes system in exterior domains. Zbl 0787.35063Farwig, R.; Simader, C. G.; Sohr, H. 3 1993 Regularity of weak solutions for the Navier-Stokes equations via energy criteria. Zbl 1374.35280Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 3 2010 Störungskriterien im reflexiven Banachraum. Zbl 0383.47015Sohr, Hermann 2 1978 The Stokes problem for exterior domains in homogeneous Sobolev spaces. Zbl 0928.35124Sohr, Hermann; Specovius-Neugebauer, Maria 2 1998 General properties of the Helmholtz decomposition in spaces of \(L^q\)-type. Zbl 1349.35292Farwig, Reinhard; Simader, Christian; Sohr, Hermann; Varnhorn, Werner 2 2016 Local strong solutions of the nonhomogeneous Navier-Stokes system with control of the interval of existence. Zbl 1362.35207Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner 1 2015 Über die Existenz von Wellenoperatoren für zeitabhängige Störungen. Zbl 0398.34054Sohr, Hermann 1 1978 Ein neues Surjektivitätskriterium im Hilbertraum. Zbl 0452.47014Sohr, Hermann 1 1981 Störungstheoretische Regularitätsuntersuchungen. Zbl 0458.35023Sohr, Hermann 1 1982 A new perturbation criterion for two nonlinear m-accretive operators with applications to semilinear equations. Zbl 0476.47038Sohr, Hermann 1 1982 A special class of weak solutions of the Navier-Stokes equations in arbitrary three-dimensional domains. Zbl 0922.35121Sohr, Hermann 1 1999 General properties of the Helmholtz decomposition in spaces of \(L^q\)-type. Zbl 1349.35292Farwig, Reinhard; Simader, Christian; Sohr, Hermann; Varnhorn, Werner 2 2016 Local strong solutions of the nonhomogeneous Navier-Stokes system with control of the interval of existence. Zbl 1362.35207Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner 1 2015 Necessary and sufficient conditions for the existence of Helmholtz decompositions in general domains. Zbl 1304.35506Simader, Christian G.; Sohr, Hermann; Varnhorn, Werner 4 2014 Besov space regularity conditions for weak solutions of the Navier-Stokes equations. Zbl 1291.35177Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner 4 2014 The Navier-Stokes equations. An elementary functional analytic approach. Reprint of the 2001 hardback ed. Zbl 1388.35001Sohr, Hermann 12 2013 Extensions of Serrin’s uniqueness and regularity conditions for the Navier-Stokes equations. Zbl 1254.76053Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner 11 2012 Global weak solutions of the Navier-Stokes equations with nonhomogeneous boundary data and divergence. Zbl 1236.35103Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 8 2011 Global Leray-Hopf weak solutions of the Navier-Stokes equations with nonzero time-dependent boundary values. Zbl 1247.35090Farwig, R.; Kozono, H.; Sohr, H. 6 2011 Necessary and sufficient conditions on local strong solvability of the Navier-Stokes system. Zbl 1209.35096Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner 5 2011 On the existence of local strong solutions for the Navier-Stokes equations in completely general domains. Zbl 1194.35306Farwig, Reinhard; Sohr, Hermann 6 2010 Global weak solutions of the Navier-Stokes system with nonzero boundary conditions. Zbl 1291.35030Farwig, R.; Kozono, H.; Sohr, H. 5 2010 Regularity of weak solutions for the Navier-Stokes equations via energy criteria. Zbl 1374.35280Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 3 2010 On optimal initial value conditions for local strong solutions of the Navier-Stokes equations. Zbl 1179.35210Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner 30 2009 On the Stokes operator in general unbounded domains. Zbl 1170.76011Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 22 2009 Optimal initial value conditions for the existence of local strong solutions of the Navier-Stokes equations. Zbl 1173.35096Farwig, Reinhard; Sohr, Hermann 21 2009 Existence, uniqueness and regularity of stationary solutions to inhomogeneous Navier-Stokes equations in \(\mathbb R^n\). Zbl 1224.76034Farwig, R.; Sohr, H. 15 2009 Energy-based regularity criteria for the Navier-Stokes equations. Zbl 1185.35162Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 5 2009 Maximal regularity of the Stokes operator in general unbounded domains of \(\mathbb R^n\). Zbl 1171.35448Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 7 2008 Criteria of local in time regularity of the Navier-Stokes equations beyond Serrin’s condition. Zbl 1154.35416Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 6 2008 Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data. Zbl 1107.76022Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 34 2007 On the Helmholtz decomposition in general unbounded domains. Zbl 1121.35097Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 29 2007 Local in time regularity properties of the Navier-Stokes equations. Zbl 1175.35100Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 13 2007 The Stokes resolvent problem in general unbounded domains. Zbl 1127.35035Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 4 2007 A new class of weak solutions of the Navier-Stokes equations with nonhomogeneous data. Zbl 1104.35032Farwig, Reinhard; Galdi, Giovanni P.; Sohr, Hermann 45 2006 Very weak solutions and large uniqueness classes of stationary Navier-Stokes equations in bounded domains of \(\mathbb R^2\). Zbl 1119.35045Farwig, R.; Galdi, G. P.; Sohr, H. 25 2006 An \(L^q\)-approach to Stokes and Navier-Stokes equations in general domains. Zbl 1111.35033Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 69 2005 A class of solutions to stationary Stokes and Navier-Stokes equations with boundary data in \(W^{-1/q,q}\). Zbl 1064.35133Galdi, G. P.; Simader, C. G.; Sohr, H. 51 2005 Very weak solutions of stationary and instationary Navier-Stokes equations with nonhomogeneous data. Zbl 1246.35148Farwig, Reinhard; Galdi, Giovanni P.; Sohr, Hermann 18 2005 Existence and unqiueness of time-periodic physically reasonable Navier-Stokes flow past a body. Zbl 1056.76021Galdi, Giovanni P.; Sohr, Hermann 42 2004 A generalization of Serrin’s regularity criterion for the Navier-Stokes equations. Zbl 1062.35075Sohr, Hermann 6 2002 The Navier-Stokes equations. An elementary functional analytic approach. Zbl 0983.35004Sohr, Hermann 424 2001 A regularity class for the Navier-Stokes equations in Lorentz spaces. Zbl 1007.35051Sohr, Hermann 45 2001 A special class of weak solutions of the Navier-Stokes equations in arbitrary three-dimensional domains. Zbl 0922.35121Sohr, Hermann 1 1999 Weighted estimates for the Oseen equations and the Navier-Stokes equations in exterior domains. Zbl 0934.35120Farwig, Reinhard; Sohr, Hermann 23 1998 Imaginary powers of second order differential operators and \(L^q\)-Helmholtz decomposition in the infinite cylinder. Zbl 0911.35088Sohr, Hermann; Thäter, Gudrun 9 1998 The Stokes problem for exterior domains in homogeneous Sobolev spaces. Zbl 0928.35124Sohr, Hermann; Specovius-Neugebauer, Maria 2 1998 Weighted \(L^q\)-theory for the Stokes resolvent in exterior domains. Zbl 0918.35106Farwig, Reinhard; Sohr, Hermann 50 1997 Regularity criterion of weak solutions to the Navier-Stokes equations. Zbl 1023.35523Kozono, Hideo; Sohr, Hermann 23 1997 Representation formula, net force and energy relation to the stationary Navier-Stokes equations in 3-dimensional exterior domains. Zbl 0890.35102Kozono, Hideo; Sohr, Hermann; Yamazaki, Masao 12 1997 The Dirichlet problem for the Laplacian in bounded and unbounded domains. Zbl 0868.35001Simader, C. G.; Sohr, H. 58 1996 Remark on uniqueness of weak solutions to the Navier-Stokes equations. Zbl 0864.35082Kozono, Hideo; Sohr, Hermann 40 1996 Helmholtz decomposition and Stokes resolvent system for aperture domains in \(L^ q\)-spaces. Zbl 0847.35101Farwig, Reinhard; Sohr, Hermann 26 1996 Global estimates in weighted spaces of weak solutions of the Navier-Stokes equations in exterior domains. Zbl 0855.35099Farwig, R.; Sohr, H. 17 1996 On the asymptotic structure of plane steady flow of a viscous fluid in exterior domains. Zbl 0840.35076Galdi, Giovanni P.; Sohr, Hermann 15 1995 Weighted energy inequalities for the Navier-Stokes equations in exterior domains. Zbl 0833.35107Farwig, Reinhard; Sohr, Hermann 10 1995 Generalized resolvent estimates for the Stokes system in bounded and unbounded domains. Zbl 0819.35109Farwig, Reinhard; Sohr, Hermann 86 1994 On the Stokes problem in Lipschitz domains. Zbl 0824.35098Galdi, G. P.; Simader, C. G.; Sohr, H. 51 1994 On the Stokes and Navier-Stokes system for domains with noncompact boundary in \(L^ q\)-spaces. Zbl 0836.35117Farwig, Reinhard; Sohr, Hermann 11 1994 The stationary and non-stationary Stokes system in exterior domains with non-zero divergence and non-zero boundary values. Zbl 0798.35125Farwig, Reinhard; Sohr, Hermann 7 1994 Imaginary powers of elliptic second order differential operators in \(L^ p\)-spaces. Zbl 0790.35023Prüss, Jan; Sohr, Hermann 37 1993 On stationary Navier-Stokes equations in unbounded domains. Zbl 0803.35107Kozono, Hideo; Sohr, Hermann 13 1993 \(L^ p\) estimates for the Stokes system. Zbl 0804.47019Giga, Mariko; Giga, Yoshikazu; Sohr, Hermann 11 1993 An \(L^ q\)-theory for weak solutions of the Stokes system in exterior domains. Zbl 0787.35063Farwig, 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 0791.35096Simader, Christian G.; Sohr, Hermann 115 1992 On a new class of generalized solutions for the Stokes equations in exterior domains. Zbl 0770.35055Kozono, Hideo; Sohr, Hermann 31 1992 Asymptotic behaviour in \(L^ r\) for weak solutions of the Navier-Stokes equations in exterior domains. Zbl 0762.35086Kozono, Hideo; Ogawa, Takayoshi; Sohr, Hermann 19 1992 Density properties for solenoidal vector fields, with applications to the Navier-Stokes equations in exterior domains. Zbl 0767.35060Kozono, Hideo; Sohr, Hermann 14 1992 An approach to resolvent estimates for the Stokes equations in \(L^ q\)- spaces. Zbl 0779.35087Farwig, Reinhard; Sohr, Hermann 5 1992 Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains. Zbl 0739.35067Giga, Yoshikazu; Sohr, Hermann 307 1991 New a priori estimates for the Stokes equations in exterior domains. Zbl 0732.35068Kozono, Hideo; Sohr, Hermann 42 1991 \(L^ p\) estimate for abstract linear parabolic equations. Zbl 0754.35018Giga, Mariko; Giga, Yoshikazu; Sohr, Hermann 8 1991 On the equations rotv\(=g\) and divu\(=f\) with zero boundary conditions. Zbl 0719.35014Borchers, Wolfgang; Sohr, Hermann 130 1990 On operators with bounded imaginary powers in Banach spaces. Zbl 0665.47015Prüss, Jan; Sohr, Hermann 78 1990 On decay properties of the Stokes equations in exterior domains. Zbl 0719.35069Sohr, Hermann; Varnhorn, Werner 4 1990 On energy inequality, smoothness and large time behavior in L 2 for weak solutions of the Navier-Stokes equations in exterior domains. Zbl 0642.35067Miyakawa, Tetsuro; Sohr, Hermann 61 1988 On the semigroup of the Stokes operator for exterior domains in L q- spaces. Zbl 0636.76027Borchers, Wolfgang; Sohr, Hermann 65 1987 Generic solvability of the equations of Navier-Stokes. Zbl 0676.35073Sohr, Hermann; von Wahl, Wolf 4 1987 On the regularity of the pressure of weak solutions of Navier-Stokes equations. Zbl 0574.35070Sohr, Hermann; von Wahl, Wolf 49 1986 Zur Asymptotik der Gleichungen von Navier-Stokes. (Asymptotics of Navier- Stokes equations). Zbl 0629.35100Sohr, Hermann; von Wahl, Wolf; Wiegner, Michael 12 1986 A new proof of Leray’s structure theorem and the smoothness of weak solutions of Navier-Stokes equations for large \(| x|\). Zbl 0681.35073Sohr, Hermann; von Wahl, Wolf 8 1985 On the singular set and the uniqueness of weak solutions of the Navier- Stokes equations. Zbl 0567.35069Sohr, Hermann; von Wahl, Wolf 26 1984 Optimale lokale Existenzsätze für die Gleichungen von Navier-Stokes. Zbl 0552.35059Sohr, Hermann 6 1984 Zur Regularitätstheorie der instationären Gleichungen von Navier-Stokes. Zbl 0506.35084Sohr, Hermann 48 1983 Störungstheoretische Regularitätsuntersuchungen. Zbl 0458.35023Sohr, Hermann 1 1982 A new perturbation criterion for two nonlinear m-accretive operators with applications to semilinear equations. Zbl 0476.47038Sohr, Hermann 1 1982 Ein neues Surjektivitätskriterium im Hilbertraum. Zbl 0452.47014Sohr, Hermann 1 1981 Über die Selbstadjungiertheit von Schrödinger-Operatoren. Zbl 0363.47015Sohr, Hermann 6 1978 Störungskriterien im reflexiven Banachraum. Zbl 0383.47015Sohr, Hermann 2 1978 Über die Existenz von Wellenoperatoren für zeitabhängige Störungen. Zbl 0398.34054Sohr, Hermann 1 1978 all cited Publications top 5 cited Publications all top 5 Cited by 1,279 Authors 48 Farwig, Reinhard 45 Kozono, Hideo 36 Winkler, Michael 29 Sohr, Hermann 26 Amrouche, Chérif 25 Maremonti, Paolo 24 Skalák, Zdeněk 22 Galdi, Giovanni Paolo 20 Giga, Yoshikazu 20 Wolf, Jörg 20 Zheng, Jiashan 19 Hieber, Matthias 19 Kang, Kyungkeun 19 Neustupa, Jiří 18 Bae, Hyeong-Ohk 18 Hishida, Toshiaki 17 Ciarlet, Philippe Gaston 17 Nečasová, Šárka 17 Shimizu, Senjo 16 Berselli, Luigi Carlo 14 Jin, Bumja 14 Nguyen Thieu Huy 13 Feireisl, Eduard 13 Varnhorn, Werner 12 Medková, Dagmar 12 Prüß, Jan Wilhelm 12 Shibata, Yoshihiro 12 Taniuchi, Yasushi 11 Chang, Tongkeun 11 Vu Thi Ngoc Ha 11 Wang, Yanqing 11 Wang, Yulan 11 Xiang, Zhaoyin 10 Chae, Dongho 10 Kim, Hyunseok 10 Liu, Ji 10 Maekawa, Yasunori 10 Yanagisawa, Taku 9 Beirão da Veiga, Hugo 9 Choe, Hi Jun 9 Deuring, Paul 9 Gala, Sadek 9 He, Cheng 9 Kučera, Petr 9 Ogawa, Takayoshi 8 Barker, Tobias 8 Jiu, Quansen 8 Kagei, Yoshiyuki 8 Kim, Jaemyoung 8 Kunstmann, Peer Christian 8 Labbas, Rabah 8 Lee, Jihoon 8 Maingot, Stéphane 8 Otárola, Enrique 8 Salgado, Abner J. 8 Seregin, Gregory A. 8 Thorel, Alexandre 8 Zhang, Zhifei 7 Abels, Helmut 7 Borchers, Wolfgang 7 Chen, Qionglei 7 Dai, Feng 7 Garcke, Harald 7 Geissert, Matthias 7 Guo, Zhengguang 7 Han, Pigong 7 Haroske, Dorothee D. 7 Kyed, Mads 7 Liu, Bin 7 Meslameni, Mohamed 7 Miyakawa, Tetsuro 7 Penel, Patrick 7 Schumacher, Katrin 7 Tao, Youshan 7 Yang, Minsuk 6 Abe, Ken 6 Al Baba, Hind 6 Brzeźniak, Zdzisław 6 Cao, Xinru 6 Crispo, Francesca 6 Fan, Jishan 6 Guerrero, Sergio 6 Ke, Yuanyuan 6 Kim, Dugyu 6 Komo, Christian 6 Korobkov, Mikhail V. 6 Kračmar, Stanislav 6 Kukavica, Igor 6 Mucha, Piotr Bogusław 6 Nakatsuka, Tomoyuki 6 Pileckas, Konstantin 6 Razafison, Ulrich 6 Ri, Myong-Hwan 6 Roh, Jaiok 6 Rojas-Medar, Marko Antonio 6 Růžička, Michael 6 Saal, Jürgen 6 Schonbek, Maria Elena 6 Tartaglione, Alfonsina 6 Titi, Edriss Saleh ...and 1,179 more Authors all top 5 Cited in 227 Serials 135 Journal of Differential Equations 96 Journal of Mathematical Fluid Mechanics 73 Journal of Mathematical Analysis and Applications 55 Archive for Rational Mechanics and Analysis 53 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 36 Journal of Functional Analysis 36 Journal of Evolution Equations 34 ZAMP. Zeitschrift für angewandte Mathematik und Physik 31 Mathematische Annalen 31 Nonlinear Analysis. Real World Applications 30 Mathematical Methods in the Applied Sciences 29 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 25 Communications in Partial Differential Equations 24 Mathematische Zeitschrift 24 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 24 Discrete and Continuous Dynamical Systems 23 Mathematische Nachrichten 22 SIAM Journal on Mathematical Analysis 21 Communications in Mathematical Physics 21 Calculus of Variations and Partial Differential Equations 19 Acta Applicandae Mathematicae 18 Journal of Mathematical Physics 18 Proceedings of the American Mathematical Society 18 Journal de Mathématiques Pures et Appliquées. Neuvième Série 16 Discrete and Continuous Dynamical Systems. Series B 15 Manuscripta Mathematica 13 Annali di Matematica Pura ed Applicata. Serie Quarta 13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Applicable Analysis 11 Nonlinearity 11 Czechoslovak Mathematical Journal 11 Communications on Pure and Applied Analysis 10 Applications of Mathematics 10 Journal of Mathematical Sciences (New York) 10 Discrete and Continuous Dynamical Systems. Series S 9 Journal of the Mathematical Society of Japan 9 Advances in Nonlinear Analysis 8 Applied Mathematics and Optimization 8 Applied Mathematics Letters 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 7 Archiv der Mathematik 7 Transactions of the American Mathematical Society 7 Journal of Dynamics and Differential Equations 7 NoDEA. Nonlinear Differential Equations and Applications 7 Acta Mathematica Scientia. Series B. (English Edition) 7 Mediterranean Journal of Mathematics 6 Acta Mathematica 6 Numerische Mathematik 6 Tôhoku Mathematical Journal. Second Series 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Abstract and Applied Analysis 6 Boundary Value Problems 6 Journal of Elliptic and Parabolic Equations 6 SN Partial Differential Equations and Applications 5 Computers & Mathematics with Applications 5 Integral Equations and Operator Theory 5 Proceedings of the Japan Academy. Series A 5 Zeitschrift für Analysis und ihre Anwendungen 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Computer Methods in Applied Mechanics and Engineering 4 Mathematics of Computation 4 Monatshefte für Mathematik 4 SIAM Journal on Control and Optimization 4 Chinese Annals of Mathematics. Series B 4 Physica D 4 Acta Mathematicae Applicatae Sinica. English Series 4 Potential Analysis 4 Revista Matemática Complutense 4 Analysis (München) 4 Acta Mathematica Sinica. English Series 4 Communications in Contemporary Mathematics 4 Analysis and Mathematical Physics 4 Nonlinear Analysis. Theory, Methods & Applications 3 Bulletin of the Australian Mathematical Society 3 Communications on Pure and Applied Mathematics 3 Lithuanian Mathematical Journal 3 The Annals of Probability 3 Annales Polonici Mathematici 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 Ricerche di Matematica 3 SIAM Journal on Numerical Analysis 3 Japan Journal of Industrial and Applied Mathematics 3 The Journal of Geometric Analysis 3 Journal of Elasticity 3 SIAM Journal on Applied Mathematics 3 Journal of Nonlinear Science 3 St. Petersburg Mathematical Journal 3 Doklady Mathematics 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Communications in Nonlinear Science and Numerical Simulation 3 Central European Journal of Mathematics 3 Analysis and Applications (Singapore) 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Complex Variables and Elliptic Equations 3 Science China. Mathematics 3 Séminaire Laurent Schwartz. EDP et Applications ...and 127 more Serials all top 5 Cited in 41 Fields 1,377 Partial differential equations (35-XX) 946 Fluid mechanics (76-XX) 154 Biology and other natural sciences (92-XX) 120 Operator theory (47-XX) 93 Functional analysis (46-XX) 65 Mechanics of deformable solids (74-XX) 60 Numerical analysis (65-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 37 Harmonic analysis on Euclidean spaces (42-XX) 36 Probability theory and stochastic processes (60-XX) 23 Systems theory; control (93-XX) 21 Real functions (26-XX) 21 Ordinary differential equations (34-XX) 16 Dynamical systems and ergodic theory (37-XX) 16 Classical thermodynamics, heat transfer (80-XX) 13 Integral equations (45-XX) 12 Global analysis, analysis on manifolds (58-XX) 10 Potential theory (31-XX) 9 Differential geometry (53-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Optics, electromagnetic theory (78-XX) 8 Geophysics (86-XX) 7 Quantum theory (81-XX) 4 Measure and integration (28-XX) 4 Functions of a complex variable (30-XX) 4 Integral transforms, operational calculus (44-XX) 4 Mechanics of particles and systems (70-XX) 3 History and biography (01-XX) 3 Approximations and expansions (41-XX) 3 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Abstract harmonic analysis (43-XX) 2 Astronomy and astrophysics (85-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year