# zbMATH — the first resource for mathematics

## Hieber, Matthias

Compute Distance To:
 Author ID: hieber.matthias Published as: Hieber, M.; Hieber, Matthias External Links: MGP · Wikidata · GND
 Documents Indexed: 113 Publications since 1989, including 8 Books Reviewing Activity: 7 Reviews
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#### Co-Authors

 26 single-authored 15 Prüß, Jan Wilhelm 13 Geissert, Matthias 9 Heck, Horst 7 Giga, Yoshikazu 7 Kashiwabara, Takahito 6 Denk, Robert 5 Hussein, Amru 5 Sawada, Okihiro 4 Arendt, Wolfgang 4 Monniaux, Sylvie 4 Neubrander, Frank 4 Nguyen Thieu Huy 3 Fang, Daoyuan 3 Gries, Mathis Yannik 3 Haller-Dintelmann, Robert 3 Rhandi, Abdelaziz 3 Shibata, Yoshihiro 3 Simonett, Gieri 2 Amann, Herbert 2 Batty, Charles J. K. 2 Galdi, Giovanni Paolo 2 Guidotti, Patrick Q. 2 Han, Bin 2 Hess, Matthias 2 Koch Medina, Pablo 2 Lorenzi, Luca 2 Mahalov, Alex 2 Merino, Sandro 2 Rehberg, Joachim 2 Saal, Jürgen 2 Schnaubelt, Roland 2 Stavrakidis, Kyriakos 2 Titi, Edriss Saleh 2 Wood, Ian Geoffrey 2 Zi, Ruizhao 1 Abe, Ken 1 Bolkart, Martin 1 Bothe, Dieter 1 Campiti, Michele 1 Desch, Wolfgang 1 Dintelmann, Eva Charlotte 1 Disser, Karoline 1 Dore, Giovanni 1 ElMennaoui, Omar 1 Escher, Joachim 1 Fang, Daoyuang 1 Furukawa, Ken 1 Grec, Bérénice 1 Haller, Robert 1 Holderrieth, Albrecht 1 Kajiwara, Naoto 1 Kellerman, Hermann 1 Kress, Klaus 1 Maremonti, Paolo 1 Misiats, Oleksandr 1 Mucha, Piotr Bogusław 1 Murata, Miho 1 Naito, Yuka 1 Nesensohn, Manuel 1 Nicaise, Serge 1 Räbiger, Frank 1 Radkevich, Evgeniĭ Vladimirovich 1 Saito, Hirokazu 1 Schade, Katharina Clara 1 Schrohe, Elmar 1 Schwarz, Céline 1 Seyfert, Anton 1 Stannat, Wilhelm 1 Stanzhytskyi, Oleksandr M. 1 Stinner, Christian 1 Takada, Ryo 1 Tolksdorf, Patrick 1 Venni, Alberto 1 von Below, Joachim 1 Walker, Christoph 1 Wen, Huanyao 1 Wilke, Mathias 1 Wood, Ian A. 1 Wrona, Marc 1 Zacher, Rico 1 Zajączkowski, Wojciech M. 1 Zhang, Ting
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#### Serials

 5 Archiv der Mathematik 5 Mathematische Annalen 4 Archive for Rational Mechanics and Analysis 4 Journal of Differential Equations 4 Mathematische Zeitschrift 4 Proceedings of the American Mathematical Society 4 Differential and Integral Equations 4 Journal of Evolution Equations 3 Nonlinearity 3 Journal of Functional Analysis 3 Transactions of the American Mathematical Society 3 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Mathematical Analysis and Applications 2 Journal of the London Mathematical Society. Second Series 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Nachrichten 2 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 2 Communications in Partial Differential Equations 2 Discrete and Continuous Dynamical Systems 2 Positivity 2 Communications on Pure and Applied Analysis 2 Oberwolfach Reports 2 Monographs in Mathematics 1 Applicable Analysis 1 Helvetica Physica Acta 1 Journal of Mathematical Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Memoirs of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Forum Mathematicum 1 Acta Mathematica Universitatis Comenianae. New Series 1 SIAM Journal on Mathematical Analysis 1 Advances in Differential Equations 1 The Journal of Fourier Analysis and Applications 1 Communications in Applied Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Journal of Mathematical Fluid Mechanics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 RIMS Kôkyûroku Bessatsu 1 Evolution Equations and Control Theory 1 Nonlinear Analysis. Theory, Methods & Applications 1 Progress in Nonlinear Differential Equations and Their Applications
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#### Fields

 91 Partial differential equations (35-XX) 56 Operator theory (47-XX) 43 Fluid mechanics (76-XX) 9 Ordinary differential equations (34-XX) 9 Geophysics (86-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Functional analysis (46-XX) 5 Probability theory and stochastic processes (60-XX) 5 Biology and other natural sciences (92-XX) 4 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 3 Integral transforms, operational calculus (44-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH

86 Publications have been cited 2,069 times in 1,543 Documents Cited by Year
Vector-valued Laplace transforms and Cauchy problems. Zbl 0978.34001
Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank
2001
$${\mathcal R}$$-boundedness, Fourier multipliers and problems of elliptic and parabolic type. Zbl 1274.35002
Denk, Robert; Hieber, Matthias; Prüss, Jan
2003
Vector-valued Laplace transforms and Cauchy problems. 2nd ed. Zbl 1226.34002
Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank
2011
Integrated semigroups. Zbl 0689.47014
Kellerman, Hermann; Hieber, Matthias
1989
Heat kernels and maximal $$L^ p$$-$$L^ q$$ estimates for parabolic evolution equations. Zbl 0886.35030
Hieber, Matthias; Prüss, Jan
1997
Optimal $$L^{p}$$- $$L^{q}$$-estimates for parabolic boundary value problems with inhomogeneous data. Zbl 1210.35066
Denk, Robert; Hieber, Matthias; Prüss, Jan
2007
Integrated semigroups and differential operators on $$L^ p$$ spaces. Zbl 0724.34067
Hieber, Matthias
1992
$$L^p$$-theory of the Stokes equation in a half space. Zbl 0983.35102
Desch, Wolfgang; Hieber, Matthias; Prüss, Jan
2001
$$L^p$$-theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle. Zbl 1102.76015
Geissert, Matthias; Heck, Horst; Hieber, Matthias
2006
New thoughts on old results of R. T. Seeley. Zbl 1113.35057
Denk, Robert; Dore, Giovanni; Hieber, Matthias; Prüss, Jan; Venni, Alberto
2004
Bounded $$H_ \infty$$-calculus for elliptic operators. Zbl 0799.35060
Amann, Herbert; Hieber, Matthias; Simonett, Gieri
1994
The Navier-Stokes equations on $$\mathbb R^n$$ with linearly growing initial data. Zbl 1072.35144
2005
The Fujita-Kato approach to the Navier-Stokes equations in the rotational framework. Zbl 1190.35175
Hieber, Matthias; Shibata, Yoshihiro
2010
On the equation $$\text{div}\,u=g$$ and Bogovskiĭ’s operator in Sobolev spaces of negative order. Zbl 1218.35073
Geißert, Matthias; Heck, Horst; Hieber, Matthias
2006
Laplace transforms and $$\alpha$$-times integrated semigroups. Zbl 0766.47013
Hieber, Matthias
1991
$$L^p$$-$$L^q$$ estimates for parabolic systems in non-divergence form with VMO coefficients. Zbl 1169.35339
Haller-Dintelmann, Robert; Heck, Horst; Hieber, Matthias
2006
Functional calculi for linear operators in vector-valued $$L^p$$-spaces via the transference principle. Zbl 0956.47008
Hieber, Matthias; Prüss, Jan
1998
Global existence results for Oldroyd-B fluids in exterior domains. Zbl 1234.35195
Hieber, Matthias; Naito, Yuka; Shibata, Yoshihiro
2012
$$L^p$$-theory for strong solutions to fluid-rigid body interaction in Newtonian and generalized Newtonian fluids. Zbl 1282.35273
Geissert, Matthias; Götze, Karoline; Hieber, Matthias
2013
Quasilinear parabolic systems with mixed boundary conditions on nonsmooth domains. Zbl 1221.35194
Hieber, Matthias; Rehberg, Joachim
2008
Global existence results for Oldroyd-B fluids in exterior domains: the case of non-small coupling parameters. Zbl 1314.35097
Fang, Daoyuang; Hieber, Matthias; Zi, Ruizhao
2013
Dynamics of nematic liquid crystal flows: the quasilinear approach. Zbl 1334.35235
Hieber, Matthias; Nesensohn, Manuel; Prüss, Jan; Schade, Katharina
2016
Stokes resolvent estimates in spaces of bounded functions. Zbl 1328.35145
Abe, Ken; Giga, Yoshikazu; Hieber, Matthias
2015
Weak Neumann implies Stokes. Zbl 1253.35099
Geissert, Matthias; Heck, Horst; Hieber, Matthias; Sawada, Okihiro
2012
Maximal $$L^p$$-$$L^ q$$-estimates for the Stokes equation: a short proof of Solonnikov’s theorem. Zbl 1261.35120
Geissert, Matthias; Hess, Matthias; Hieber, Matthias; Schwarz, Céline; Stavrakidis, Kyriakos
2010
Pseudo-differential operators and maximal regularity results for non-autonomous parabolic equations. Zbl 0937.35195
Hieber, Matthias; Monniaux, Sylvie
2000
Regularized semigroups and systems of linear partial differential equations. Zbl 0789.35075
Hieber, M.; Holderrieth, A.; Neubrander, F.
1992
Integrated semigroups and differential operators on $$L^ p({\mathbb{R}}^ n)$$. Zbl 0697.47038
Hieber, Matthias
1989
Global strong well-posedness of the three dimensional primitive equations in $${L^p}$$-spaces. Zbl 1350.35155
Hieber, Matthias; Kashiwabara, Takahito
2016
A general approach to time periodic incompressible viscous fluid flow problems. Zbl 1334.35231
Geissert, Matthias; Hieber, Matthias; Nguyen, Thieu Huy
2016
The Ornstein-Uhlenbeck semigroup in exterior domains. Zbl 1114.47043
Geissert, M.; Heck, H.; Hieber, M.; Wood, I.
2005
Maximal $$L^p$$-regularity for elliptic operators with VMO-coefficients. Zbl 1225.35080
Heck, Horst; Hieber, Matthias
2003
Gaussian estimates and holomorphy of semigroups on $$L^p$$ spaces. Zbl 0893.47024
Hieber, Matthias
1996
Linear and semilinear parabolic equations on $$BUC(\mathbb{R}^ N)$$. Zbl 0863.35044
Hieber, Matthias; Koch-Medina, Pablo; Merino, Sandro
1996
$$L^ p$$ spectra of pseudodifferential operators generating integrated semigroups. Zbl 0847.47027
Hieber, Matthias
1995
Nonlinear stability of Ekman boundary layers. Zbl 1197.35193
Hess, Matthias; Hieber, Matthias; Mahalov, Alex; Saal, Jürgen
2010
Heat-kernels and maximal $$L^p$$-$$L^q$$-estimates: The non-autonomous case. Zbl 0979.35028
Hieber, Matthias; Monniaux, Sylvie
2000
Global properties of generalized Ornstein–Uhlenbeck operators on $$L^p(\mathbb R^N, \mathbb R^N)$$with more than linearly growing coefficients. Zbl 1162.47034
Hieber, Matthias; Lorenzi, Luca; Prüss, Jan; Rhandi, Abdelaziz; Schnaubelt, Roland
2009
The Navier-Stokes flow for globally Lipschitz continuous initial data. Zbl 1119.35051
Hieber, Matthias; Rhandi, Abdelaziz; Sawada, Okihiro
2007
On the bidomain problem with FitzHugh-Nagumo transport. Zbl 1395.35115
Hieber, Matthias; Prüss, Jan
2018
Dynamics of the Ericksen-Leslie equations with general Leslie stress. I: The incompressible isotropic case. Zbl 1383.35162
Hieber, Matthias; Prüss, Jan
2017
Global strong $$L^{p}$$ well-posedness of the 3D primitive equations with heat and salinity diffusion. Zbl 1351.35139
Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito
2016
The $$L^p$$-approach to the fluid-rigid body interaction problem for compressible fluids. Zbl 1336.35293
Hieber, Matthias; Murata, Miho
2015
The spin-coating process: analysis of the free boundary value problem. Zbl 1229.35331
Denk, Robert; Geissert, Matthias; Hieber, Matthias; Saal, Jürgen; Sawada, Okihiro
2011
Strong $$L^p$$-solutions to the Navier-Stokes flow past moving obstacles: The case of several obstacles and time-dependent velocity. Zbl 1156.76016
Dintelmann, Eva; Geissert, Matthias; Hieber, Matthias
2009
Boundary values of holomorphic semigroups. Zbl 0869.47025
Arendt, Wolfgang; El Mennaoui, Omar; Hieber, Matthias
1997
Integrated semigroups and the Cauchy problem for systems in $$L^ p$$ spaces. Zbl 0766.47014
Hieber, Matthias
1991
Local and global existence results for the Navier-Stokes equations in the rotational framework. Zbl 1314.35096
Fang, Daoyuan; Han, Bin; Hieber, Matthias
2015
$$L^\infty$$-estimates for parabolic systems with VMO-coefficients. Zbl 1201.35059
Heck, Horst; Hieber, Matthias; Stavrakidis, Kyriakos
2010
Muckenhoupt weights and maximal $$L^p$$-regularity. Zbl 1108.35100
Haller, Robert; Heck, Horst; Hieber, Matthias
2003
Operator valued Fourier multipliers. Zbl 0919.47021
Hieber, Matthias
1999
Bounded $$H^{\infty }$$-calculus for the hydrostatic Stokes operator on $$L^p$$-spaces and applications. Zbl 06740482
Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito
2017
Thermodynamical consistent modeling and analysis of nematic liquid crystal flows. Zbl 1366.76010
Hieber, Matthias; Prüss, Jan
2016
Bounded analyticity of the Stokes semigroup on spaces of bounded functions. Zbl 1338.35364
Hieber, Matthias; Maremonti, Paolo
2016
Second-order parabolic equations with unbounded coefficients in exterior domains. Zbl 1212.35037
Hieber, Matthias; Lorenzi, Luca; Rhandi, Abdelaziz
2007
Dynamics of the Ericksen-Leslie equations with general Leslie stress. II: The compressible isotropic case. Zbl 1415.35230
Hieber, Matthias; Prüss, Jan
2019
On periodic and almost periodic solutions to incompressible viscous fluid flow problems on the whole line. Zbl 1384.35088
Hieber, Matthias; Nguyen, Thieu Huy; Seyfert, Anton
2017
Strong time-periodic solutions to the 3D primitive equations subject to arbitrary large forces. Zbl 1377.35224
Galdi, Giovanni P.; Hieber, Matthias; Kashiwabara, Takahito
2017
Global existence results for the Navier-Stokes equations in the rotational framework in Fourier-Besov spaces. Zbl 1334.35229
Fang, Daoyuan; Han, Bin; Hieber, Matthias
2015
Pointwise upper bounds for the solution of the Stokes equation on $$L_\sigma^\infty(\varOmega)$$ and applications. Zbl 1316.35224
Bolkart, Martin; Hieber, Matthias
2015
Stochastic stability of the Ekman spiral. Zbl 1264.35293
Hieber, Matthias; Stannat, Wilhelm
2013
$$L^p$$ spectral independence of elliptic operators via commutator estimates. Zbl 0930.35058
Hieber, Matthias; Schrohe, Elmar
1999
Diffusive logistic growth on $$\mathbb{R}^ N$$. Zbl 0858.35055
Hieber, Matthias; Koch Medina, Pablo; Merino, Sandro
1996
Spectral theory and Cauchy problems on $$L^p$$ spaces. Zbl 0905.47035
Hieber, Matthias
1994
An operator-theoretical approach to Dirac’s equation on $$L^ p$$-spaces. Zbl 0748.47036
Hieber, Matthias
1991
Analyticity of solutions to the primitive equations. Zbl 07198939
Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito
2020
Optimal decay rates for solutions to the incompressible Oldroyd-B model in $$\mathbb{R}^3$$. Zbl 1410.35123
Hieber, Matthias; Wen, Huanyao; Zi, Ruizhao
2019
Time periodic and almost time periodic solutions to rotating stratified fluids subject to large forces. Zbl 1404.35012
Hieber, Matthias; Mahalov, Alex; Takada, Ryo
2019
Density-dependent incompressible viscous fluid flow subject to linearly growing initial data. Zbl 1246.35147
Fang, Daoyuan; Hieber, Matthias; Zhang, Ting
2012
Remarks on the $$L^p$$-approach to the Stokes equation on unbounded domains. Zbl 1193.35129
Geissert, Matthias; Heck, Horst; Hieber, Matthias; Sawada, Okihiro
2010
Irreducibility and mixed boundary conditions. Zbl 1145.35061
Haller-Dintelmann, Robert; Hieber, Matthias; Rehberg, Joachim
2008
The model-problem associated to the Stefan problem with surface tension: an approach via Fourier-Laplace multipliers. Zbl 1111.35133
Geissert, Matthias; Grec, Bérénice; Hieber, Matthias; Radkevich, Evgeniy
2006
$$H^\infty$$-calculus for products of non-commuting operators. Zbl 1096.47018
Haller-Dintelmann, Robert; Hieber, Matthias
2005
A characterization of the growth bound of a semigroup via Fourier multipliers. Zbl 0985.47032
Hieber, Matthias
2001
A remark on the abstract Cauchy problem on spaces of Hölder continuous functions. Zbl 0765.34042
Hieber, Matthias; Räbiger, Frank
1992
Bounded $$H^\infty$$-calculus for a class of nonlocal operators: the bidomain operator in the $$L_q$$-setting. Zbl 1450.35152
Hieber, Matthias; Prüss, Jan
2020
The hydrostatic Stokes semigroup and well-posedness of the primitive equations on spaces of bounded functions. Zbl 1434.35096
Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito
2020
Strong solutions for two-phase free boundary problems for a class of non-Newtonian fluids. Zbl 1396.35049
Hieber, Matthias; Saito, Hirokazu
2017
The Dirichlet problem in convex bounded domains for operators in non-divergence form with $$L^\infty$$-coefficients. Zbl 1212.42032
Hieber, Matthias; Wood, Ian
2007
$$L^p$$-theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle. Zbl 1136.35440
Geissert, Matthias; Hieber, Matthias
2007
Asymptotics of perturbations to the wave equation. Zbl 1047.35017
Hieber, Matthias; Wood, Ian
2003
Heat kernel and maximal $$L^p-L^q$$ estimates: The nonautonomous case. Zbl 0926.34050
Hieber, Matthias; Monniaux, Sylvie
1999
Gaussian estimates and invariance of the $$L^p$$-spectrum for elliptic operators of higher order. Zbl 0895.35070
Hieber, Matthias
1996
$$H^ \infty$$-calculus for second order elliptic operators in divergence form. Zbl 0834.35036
Hieber, M.
1995
On linear hyperbolic systems with multiple characteristics. Zbl 0822.47043
Hieber, Matthias
1995
Heat kernels and bounded $$H^ \infty$$-calculus on $$L^ p$$-spaces. Zbl 0822.47042
Hieber, Matthias
1994
Analyticity of solutions to the primitive equations. Zbl 07198939
Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito
2020
Bounded $$H^\infty$$-calculus for a class of nonlocal operators: the bidomain operator in the $$L_q$$-setting. Zbl 1450.35152
Hieber, Matthias; Prüss, Jan
2020
The hydrostatic Stokes semigroup and well-posedness of the primitive equations on spaces of bounded functions. Zbl 1434.35096
Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito
2020
Dynamics of the Ericksen-Leslie equations with general Leslie stress. II: The compressible isotropic case. Zbl 1415.35230
Hieber, Matthias; Prüss, Jan
2019
Optimal decay rates for solutions to the incompressible Oldroyd-B model in $$\mathbb{R}^3$$. Zbl 1410.35123
Hieber, Matthias; Wen, Huanyao; Zi, Ruizhao
2019
Time periodic and almost time periodic solutions to rotating stratified fluids subject to large forces. Zbl 1404.35012
Hieber, Matthias; Mahalov, Alex; Takada, Ryo
2019
On the bidomain problem with FitzHugh-Nagumo transport. Zbl 1395.35115
Hieber, Matthias; Prüss, Jan
2018
Dynamics of the Ericksen-Leslie equations with general Leslie stress. I: The incompressible isotropic case. Zbl 1383.35162
Hieber, Matthias; Prüss, Jan
2017
Bounded $$H^{\infty }$$-calculus for the hydrostatic Stokes operator on $$L^p$$-spaces and applications. Zbl 06740482
Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito
2017
On periodic and almost periodic solutions to incompressible viscous fluid flow problems on the whole line. Zbl 1384.35088
Hieber, Matthias; Nguyen, Thieu Huy; Seyfert, Anton
2017
Strong time-periodic solutions to the 3D primitive equations subject to arbitrary large forces. Zbl 1377.35224
Galdi, Giovanni P.; Hieber, Matthias; Kashiwabara, Takahito
2017
Strong solutions for two-phase free boundary problems for a class of non-Newtonian fluids. Zbl 1396.35049
Hieber, Matthias; Saito, Hirokazu
2017
Dynamics of nematic liquid crystal flows: the quasilinear approach. Zbl 1334.35235
Hieber, Matthias; Nesensohn, Manuel; Prüss, Jan; Schade, Katharina
2016
Global strong well-posedness of the three dimensional primitive equations in $${L^p}$$-spaces. Zbl 1350.35155
Hieber, Matthias; Kashiwabara, Takahito
2016
A general approach to time periodic incompressible viscous fluid flow problems. Zbl 1334.35231
Geissert, Matthias; Hieber, Matthias; Nguyen, Thieu Huy
2016
Global strong $$L^{p}$$ well-posedness of the 3D primitive equations with heat and salinity diffusion. Zbl 1351.35139
Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito
2016
Thermodynamical consistent modeling and analysis of nematic liquid crystal flows. Zbl 1366.76010
Hieber, Matthias; Prüss, Jan
2016
Bounded analyticity of the Stokes semigroup on spaces of bounded functions. Zbl 1338.35364
Hieber, Matthias; Maremonti, Paolo
2016
Stokes resolvent estimates in spaces of bounded functions. Zbl 1328.35145
Abe, Ken; Giga, Yoshikazu; Hieber, Matthias
2015
The $$L^p$$-approach to the fluid-rigid body interaction problem for compressible fluids. Zbl 1336.35293
Hieber, Matthias; Murata, Miho
2015
Local and global existence results for the Navier-Stokes equations in the rotational framework. Zbl 1314.35096
Fang, Daoyuan; Han, Bin; Hieber, Matthias
2015
Global existence results for the Navier-Stokes equations in the rotational framework in Fourier-Besov spaces. Zbl 1334.35229
Fang, Daoyuan; Han, Bin; Hieber, Matthias
2015
Pointwise upper bounds for the solution of the Stokes equation on $$L_\sigma^\infty(\varOmega)$$ and applications. Zbl 1316.35224
Bolkart, Martin; Hieber, Matthias
2015
$$L^p$$-theory for strong solutions to fluid-rigid body interaction in Newtonian and generalized Newtonian fluids. Zbl 1282.35273
Geissert, Matthias; Götze, Karoline; Hieber, Matthias
2013
Global existence results for Oldroyd-B fluids in exterior domains: the case of non-small coupling parameters. Zbl 1314.35097
Fang, Daoyuang; Hieber, Matthias; Zi, Ruizhao
2013
Stochastic stability of the Ekman spiral. Zbl 1264.35293
Hieber, Matthias; Stannat, Wilhelm
2013
Global existence results for Oldroyd-B fluids in exterior domains. Zbl 1234.35195
Hieber, Matthias; Naito, Yuka; Shibata, Yoshihiro
2012
Weak Neumann implies Stokes. Zbl 1253.35099
Geissert, Matthias; Heck, Horst; Hieber, Matthias; Sawada, Okihiro
2012
Density-dependent incompressible viscous fluid flow subject to linearly growing initial data. Zbl 1246.35147
Fang, Daoyuan; Hieber, Matthias; Zhang, Ting
2012
Vector-valued Laplace transforms and Cauchy problems. 2nd ed. Zbl 1226.34002
Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank
2011
The spin-coating process: analysis of the free boundary value problem. Zbl 1229.35331
Denk, Robert; Geissert, Matthias; Hieber, Matthias; Saal, Jürgen; Sawada, Okihiro
2011
The Fujita-Kato approach to the Navier-Stokes equations in the rotational framework. Zbl 1190.35175
Hieber, Matthias; Shibata, Yoshihiro
2010
Maximal $$L^p$$-$$L^ q$$-estimates for the Stokes equation: a short proof of Solonnikov’s theorem. Zbl 1261.35120
Geissert, Matthias; Hess, Matthias; Hieber, Matthias; Schwarz, Céline; Stavrakidis, Kyriakos
2010
Nonlinear stability of Ekman boundary layers. Zbl 1197.35193
Hess, Matthias; Hieber, Matthias; Mahalov, Alex; Saal, Jürgen
2010
$$L^\infty$$-estimates for parabolic systems with VMO-coefficients. Zbl 1201.35059
Heck, Horst; Hieber, Matthias; Stavrakidis, Kyriakos
2010
Remarks on the $$L^p$$-approach to the Stokes equation on unbounded domains. Zbl 1193.35129
Geissert, Matthias; Heck, Horst; Hieber, Matthias; Sawada, Okihiro
2010
Global properties of generalized Ornstein–Uhlenbeck operators on $$L^p(\mathbb R^N, \mathbb R^N)$$with more than linearly growing coefficients. Zbl 1162.47034
Hieber, Matthias; Lorenzi, Luca; Prüss, Jan; Rhandi, Abdelaziz; Schnaubelt, Roland
2009
Strong $$L^p$$-solutions to the Navier-Stokes flow past moving obstacles: The case of several obstacles and time-dependent velocity. Zbl 1156.76016
Dintelmann, Eva; Geissert, Matthias; Hieber, Matthias
2009
Quasilinear parabolic systems with mixed boundary conditions on nonsmooth domains. Zbl 1221.35194
Hieber, Matthias; Rehberg, Joachim
2008
Irreducibility and mixed boundary conditions. Zbl 1145.35061
Haller-Dintelmann, Robert; Hieber, Matthias; Rehberg, Joachim
2008
Optimal $$L^{p}$$- $$L^{q}$$-estimates for parabolic boundary value problems with inhomogeneous data. Zbl 1210.35066
Denk, Robert; Hieber, Matthias; Prüss, Jan
2007
The Navier-Stokes flow for globally Lipschitz continuous initial data. Zbl 1119.35051
Hieber, Matthias; Rhandi, Abdelaziz; Sawada, Okihiro
2007
Second-order parabolic equations with unbounded coefficients in exterior domains. Zbl 1212.35037
Hieber, Matthias; Lorenzi, Luca; Rhandi, Abdelaziz
2007
The Dirichlet problem in convex bounded domains for operators in non-divergence form with $$L^\infty$$-coefficients. Zbl 1212.42032
Hieber, Matthias; Wood, Ian
2007
$$L^p$$-theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle. Zbl 1136.35440
Geissert, Matthias; Hieber, Matthias
2007
$$L^p$$-theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle. Zbl 1102.76015
Geissert, Matthias; Heck, Horst; Hieber, Matthias
2006
On the equation $$\text{div}\,u=g$$ and Bogovskiĭ’s operator in Sobolev spaces of negative order. Zbl 1218.35073
Geißert, Matthias; Heck, Horst; Hieber, Matthias
2006
$$L^p$$-$$L^q$$ estimates for parabolic systems in non-divergence form with VMO coefficients. Zbl 1169.35339
Haller-Dintelmann, Robert; Heck, Horst; Hieber, Matthias
2006
The model-problem associated to the Stefan problem with surface tension: an approach via Fourier-Laplace multipliers. Zbl 1111.35133
Geissert, Matthias; Grec, Bérénice; Hieber, Matthias; Radkevich, Evgeniy
2006
The Navier-Stokes equations on $$\mathbb R^n$$ with linearly growing initial data. Zbl 1072.35144
2005
The Ornstein-Uhlenbeck semigroup in exterior domains. Zbl 1114.47043
Geissert, M.; Heck, H.; Hieber, M.; Wood, I.
2005
$$H^\infty$$-calculus for products of non-commuting operators. Zbl 1096.47018
Haller-Dintelmann, Robert; Hieber, Matthias
2005
New thoughts on old results of R. T. Seeley. Zbl 1113.35057
Denk, Robert; Dore, Giovanni; Hieber, Matthias; Prüss, Jan; Venni, Alberto
2004
$${\mathcal R}$$-boundedness, Fourier multipliers and problems of elliptic and parabolic type. Zbl 1274.35002
Denk, Robert; Hieber, Matthias; Prüss, Jan
2003
Maximal $$L^p$$-regularity for elliptic operators with VMO-coefficients. Zbl 1225.35080
Heck, Horst; Hieber, Matthias
2003
Muckenhoupt weights and maximal $$L^p$$-regularity. Zbl 1108.35100
Haller, Robert; Heck, Horst; Hieber, Matthias
2003
Asymptotics of perturbations to the wave equation. Zbl 1047.35017
Hieber, Matthias; Wood, Ian
2003
Vector-valued Laplace transforms and Cauchy problems. Zbl 0978.34001
Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank
2001
$$L^p$$-theory of the Stokes equation in a half space. Zbl 0983.35102
Desch, Wolfgang; Hieber, Matthias; Prüss, Jan
2001
A characterization of the growth bound of a semigroup via Fourier multipliers. Zbl 0985.47032
Hieber, Matthias
2001
Pseudo-differential operators and maximal regularity results for non-autonomous parabolic equations. Zbl 0937.35195
Hieber, Matthias; Monniaux, Sylvie
2000
Heat-kernels and maximal $$L^p$$-$$L^q$$-estimates: The non-autonomous case. Zbl 0979.35028
Hieber, Matthias; Monniaux, Sylvie
2000
Operator valued Fourier multipliers. Zbl 0919.47021
Hieber, Matthias
1999
$$L^p$$ spectral independence of elliptic operators via commutator estimates. Zbl 0930.35058
Hieber, Matthias; Schrohe, Elmar
1999
Heat kernel and maximal $$L^p-L^q$$ estimates: The nonautonomous case. Zbl 0926.34050
Hieber, Matthias; Monniaux, Sylvie
1999
Functional calculi for linear operators in vector-valued $$L^p$$-spaces via the transference principle. Zbl 0956.47008
Hieber, Matthias; Prüss, Jan
1998
Heat kernels and maximal $$L^ p$$-$$L^ q$$ estimates for parabolic evolution equations. Zbl 0886.35030
Hieber, Matthias; Prüss, Jan
1997
Boundary values of holomorphic semigroups. Zbl 0869.47025
Arendt, Wolfgang; El Mennaoui, Omar; Hieber, Matthias
1997
Gaussian estimates and holomorphy of semigroups on $$L^p$$ spaces. Zbl 0893.47024
Hieber, Matthias
1996
Linear and semilinear parabolic equations on $$BUC(\mathbb{R}^ N)$$. Zbl 0863.35044
Hieber, Matthias; Koch-Medina, Pablo; Merino, Sandro
1996
Diffusive logistic growth on $$\mathbb{R}^ N$$. Zbl 0858.35055
Hieber, Matthias; Koch Medina, Pablo; Merino, Sandro
1996
Gaussian estimates and invariance of the $$L^p$$-spectrum for elliptic operators of higher order. Zbl 0895.35070
Hieber, Matthias
1996
$$L^ p$$ spectra of pseudodifferential operators generating integrated semigroups. Zbl 0847.47027
Hieber, Matthias
1995
$$H^ \infty$$-calculus for second order elliptic operators in divergence form. Zbl 0834.35036
Hieber, M.
1995
On linear hyperbolic systems with multiple characteristics. Zbl 0822.47043
Hieber, Matthias
1995
Bounded $$H_ \infty$$-calculus for elliptic operators. Zbl 0799.35060
Amann, Herbert; Hieber, Matthias; Simonett, Gieri
1994
Spectral theory and Cauchy problems on $$L^p$$ spaces. Zbl 0905.47035
Hieber, Matthias
1994
Heat kernels and bounded $$H^ \infty$$-calculus on $$L^ p$$-spaces. Zbl 0822.47042
Hieber, Matthias
1994
Integrated semigroups and differential operators on $$L^ p$$ spaces. Zbl 0724.34067
Hieber, Matthias
1992
Regularized semigroups and systems of linear partial differential equations. Zbl 0789.35075
Hieber, M.; Holderrieth, A.; Neubrander, F.
1992
A remark on the abstract Cauchy problem on spaces of Hölder continuous functions. Zbl 0765.34042
Hieber, Matthias; Räbiger, Frank
1992
Laplace transforms and $$\alpha$$-times integrated semigroups. Zbl 0766.47013
Hieber, Matthias
1991
Integrated semigroups and the Cauchy problem for systems in $$L^ p$$ spaces. Zbl 0766.47014
Hieber, Matthias
1991
An operator-theoretical approach to Dirac’s equation on $$L^ p$$-spaces. Zbl 0748.47036
Hieber, Matthias
1991
Integrated semigroups. Zbl 0689.47014
Kellerman, Hermann; Hieber, Matthias
1989
Integrated semigroups and differential operators on $$L^ p({\mathbb{R}}^ n)$$. Zbl 0697.47038
Hieber, Matthias
1989
all top 5

#### Cited by 1,378 Authors

 46 Hieber, Matthias 46 Lizama, Carlos 44 Shakhmurov, Veli B. 33 Prüß, Jan Wilhelm 24 Ezzinbi, Khalil 23 Miana, Pedro J. 21 Arendt, Wolfgang 18 Kostić, Marko 17 Veraar, Mark C. 16 Magal, Pierre 15 Agarwal, Ravi P. 15 Bobrowski, Adam 15 Giga, Yoshikazu 15 Henríquez, Hernán R. 15 Nečasová, Šárka 15 Tomilov, Yuri 14 Benchohra, Mouffak 14 Keyantuo, Valentin 14 Meerschaert, Mark M. 14 Nguyen Van Minh 14 Rehberg, Joachim 14 Weis, Lutz W. 13 Batty, Charles J. K. 13 Li, Miao 13 Mugnolo, Delio 13 Seifert, David 12 Bu, Shangquan 12 Chill, Ralph 12 Cuevas, Claudio 12 O’Regan, Donal 12 Pilipović, Stevan 12 Schnaubelt, Roland 12 Shibata, Yoshihiro 12 Shimizu, Senjo 12 van Neerven, Jan M. A. M. 11 Fackler, Stephan 11 Geissert, Matthias 11 Rodríguez-Bernal, Aníbal 11 Saal, Jürgen 11 Simonett, Gieri 11 Warma, Mahamadi 11 Wilke, Mathias 10 Abadias, Luciano 10 Baskakov, Anatoliĭ Grigor’evich 10 Bäumer, Boris 10 Cholewa, Jan W. 10 Denk, Robert 10 ElMennaoui, Omar 10 Gesztesy, Fritz 10 Kovács, Mihály 10 Nguyen Thieu Huy 10 Paunonen, Lassi 10 Ponce, Rodrigo F. 10 Pyatkov, Sergei Grigor’evich 10 Zheng, Quan 9 Cai, Gang 9 Dong, Hongjie 9 Kunze, Markus Christian 9 Xiao, Ti-Jun 8 Adimy, Mostafa 8 deLaubenfels, Ralph J. 8 Engel, Klaus-Jochen 8 Fang, Daoyuan 8 Galé, José E. 8 Haase, Markus 8 Kim, Doyoon 8 Kračmar, Stanislav 8 Kunstmann, Peer Christian 8 Liang, Jin 8 Liu, Zhihua 8 Ntouyas, Sotiris K. 8 Peng, Jigen 7 Abe, Ken 7 Chen, Chuang 7 Ducrot, Arnaud 7 Gomilko, Alexandre M. 7 Haller-Dintelmann, Robert 7 Hussein, Amru 7 Kostić, Marco 7 Kotschote, Matthias 7 Li, Buyang 7 Maremonti, Paolo 7 Melnikova, Irina V. 7 Meyries, Martin 7 Nane, Erkan 7 N’Guérékata, Gaston Mandata 7 Poblete, Verónica 7 Prado, Humberto E. 7 Rozendaal, Jan 7 Sawada, Okihiro 7 Takada, Ryo 7 ter Elst, Antonius Frederik Maria 6 Abels, Helmut 6 Basit, Bolis 6 Bothe, Dieter 6 Farwig, Reinhard 6 Favini, Angelo 6 Galdi, Giovanni Paolo 6 Han, Pigong 6 Hishida, Toshiaki ...and 1,278 more Authors
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#### Cited in 280 Serials

 122 Journal of Mathematical Analysis and Applications 106 Journal of Differential Equations 71 Journal of Evolution Equations 64 Journal of Functional Analysis 56 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 54 Semigroup Forum 29 Archive for Rational Mechanics and Analysis 28 Proceedings of the American Mathematical Society 25 Mathematische Annalen 20 Journal of Mathematical Fluid Mechanics 19 Integral Equations and Operator Theory 19 Mathematische Nachrichten 19 Mathematische Zeitschrift 19 SIAM Journal on Mathematical Analysis 19 Journal of Mathematical Sciences (New York) 18 Mathematical Methods in the Applied Sciences 17 Discrete and Continuous Dynamical Systems 16 Transactions of the American Mathematical Society 15 Abstract and Applied Analysis 14 Nonlinear Analysis. Real World Applications 13 Computers & Mathematics with Applications 13 Archiv der Mathematik 13 Communications on Pure and Applied Analysis 12 Advances in Mathematics 12 Applied Mathematics Letters 11 Annali di Matematica Pura ed Applicata. Serie Quarta 11 Journal of the Mathematical Society of Japan 11 Acta Applicandae Mathematicae 11 Fractional Calculus & Applied Analysis 10 Applicable Analysis 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Czechoslovak Mathematical Journal 10 Acta Mathematica Sinica. English Series 10 Discrete and Continuous Dynamical Systems. Series S 9 Israel Journal of Mathematics 9 Applied Mathematics and Computation 9 Numerische Mathematik 9 Potential Analysis 9 Positivity 8 Journal of Computational and Applied Mathematics 8 Siberian Mathematical Journal 8 Journal of Integral Equations and Applications 8 Communications in Partial Differential Equations 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Journal of Dynamics and Differential Equations 8 Calculus of Variations and Partial Differential Equations 8 The Journal of Fourier Analysis and Applications 8 Discrete and Continuous Dynamical Systems. Series B 7 SIAM Journal on Control and Optimization 7 MCSS. Mathematics of Control, Signals, and Systems 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 Advances in Difference Equations 7 Boundary Value Problems 7 Evolution Equations and Control Theory 6 Studia Mathematica 6 Journal of Approximation Theory 6 Numerical Functional Analysis and Optimization 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Journal of the Australian Mathematical Society 6 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 6 Banach Journal of Mathematical Analysis 5 Journal d’Analyse Mathématique 5 Journal of Mathematical Physics 5 Nonlinearity 5 Manuscripta Mathematica 5 SIAM Journal on Numerical Analysis 5 Systems & Control Letters 5 Stochastic Processes and their Applications 5 NoDEA. Nonlinear Differential Equations and Applications 5 Complex Analysis and Operator Theory 5 Kinetic and Related Models 5 Afrika Matematika 5 Journal of Elliptic and Parabolic Equations 4 Communications in Mathematical Physics 4 Mathematical Notes 4 Rocky Mountain Journal of Mathematics 4 Chinese Annals of Mathematics. Series B 4 Applied Numerical Mathematics 4 Differential Equations and Dynamical Systems 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Journal of Inequalities and Applications 4 Mediterranean Journal of Mathematics 4 Nonlinear Analysis. Hybrid Systems 4 Science China. Mathematics 4 Eurasian Mathematical Journal 4 Journal of Applied Analysis and Computation 4 Journal of Function Spaces 3 Lithuanian Mathematical Journal 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Indiana University Mathematics Journal 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Optimization Theory and Applications 3 Journal für die Reine und Angewandte Mathematik 3 Memoirs of the American Mathematical Society 3 Monatshefte für Mathematik 3 Proceedings of the Japan Academy. Series A 3 Ergodic Theory and Dynamical Systems 3 Zeitschrift für Analysis und ihre Anwendungen 3 Mathematical and Computer Modelling 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics ...and 180 more Serials
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#### Cited in 49 Fields

 908 Partial differential equations (35-XX) 627 Operator theory (47-XX) 316 Ordinary differential equations (34-XX) 304 Fluid mechanics (76-XX) 127 Functional analysis (46-XX) 90 Biology and other natural sciences (92-XX) 88 Probability theory and stochastic processes (60-XX) 81 Harmonic analysis on Euclidean spaces (42-XX) 70 Integral equations (45-XX) 67 Systems theory; control (93-XX) 63 Real functions (26-XX) 63 Numerical analysis (65-XX) 44 Mechanics of deformable solids (74-XX) 34 Integral transforms, operational calculus (44-XX) 29 Dynamical systems and ergodic theory (37-XX) 27 Abstract harmonic analysis (43-XX) 24 Global analysis, analysis on manifolds (58-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 21 Classical thermodynamics, heat transfer (80-XX) 19 Geophysics (86-XX) 14 Difference and functional equations (39-XX) 14 Sequences, series, summability (40-XX) 12 Functions of a complex variable (30-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Special functions (33-XX) 8 Quantum theory (81-XX) 7 Operations research, mathematical programming (90-XX) 5 Approximations and expansions (41-XX) 5 Differential geometry (53-XX) 5 Statistics (62-XX) 5 Computer science (68-XX) 4 Number theory (11-XX) 4 Potential theory (31-XX) 4 Optics, electromagnetic theory (78-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Group theory and generalizations (20-XX) 3 Topological groups, Lie groups (22-XX) 3 General topology (54-XX) 3 Information and communication theory, circuits (94-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Geometry (51-XX) 1 Astronomy and astrophysics (85-XX)

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