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Hieber, Matthias

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Author ID: hieber.matthias Recent zbMATH articles by "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
all top 5

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
all top 5

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

Publications by Year

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
452
2001
\({\mathcal R}\)-boundedness, Fourier multipliers and problems of elliptic and parabolic type. Zbl 1274.35002
Denk, Robert; Hieber, Matthias; Prüss, Jan
226
2003
Vector-valued Laplace transforms and Cauchy problems. 2nd ed. Zbl 1226.34002
Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank
225
2011
Integrated semigroups. Zbl 0689.47014
Kellerman, Hermann; Hieber, Matthias
144
1989
Heat kernels and maximal \(L^ p\)-\(L^ q\) estimates for parabolic evolution equations. Zbl 0886.35030
Hieber, Matthias; Prüss, Jan
115
1997
Optimal \(L^{p}\)- \(L^{q}\)-estimates for parabolic boundary value problems with inhomogeneous data. Zbl 1210.35066
Denk, Robert; Hieber, Matthias; Prüss, Jan
90
2007
Integrated semigroups and differential operators on \(L^ p\) spaces. Zbl 0724.34067
Hieber, Matthias
52
1992
\(L^p\)-theory of the Stokes equation in a half space. Zbl 0983.35102
Desch, Wolfgang; Hieber, Matthias; Prüss, Jan
50
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
43
2006
New thoughts on old results of R. T. Seeley. Zbl 1113.35057
Denk, Robert; Dore, Giovanni; Hieber, Matthias; Prüss, Jan; Venni, Alberto
43
2004
Bounded \(H_ \infty\)-calculus for elliptic operators. Zbl 0799.35060
Amann, Herbert; Hieber, Matthias; Simonett, Gieri
38
1994
The Navier-Stokes equations on \(\mathbb R^n\) with linearly growing initial data. Zbl 1072.35144
Hieber, Matthias; Sawada, Okihiro
27
2005
The Fujita-Kato approach to the Navier-Stokes equations in the rotational framework. Zbl 1190.35175
Hieber, Matthias; Shibata, Yoshihiro
26
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
26
2006
Laplace transforms and \(\alpha\)-times integrated semigroups. Zbl 0766.47013
Hieber, Matthias
26
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
23
2006
Functional calculi for linear operators in vector-valued \(L^p\)-spaces via the transference principle. Zbl 0956.47008
Hieber, Matthias; Prüss, Jan
22
1998
Global existence results for Oldroyd-B fluids in exterior domains. Zbl 1234.35195
Hieber, Matthias; Naito, Yuka; Shibata, Yoshihiro
20
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
19
2013
Quasilinear parabolic systems with mixed boundary conditions on nonsmooth domains. Zbl 1221.35194
Hieber, Matthias; Rehberg, Joachim
19
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
18
2013
Dynamics of nematic liquid crystal flows: the quasilinear approach. Zbl 1334.35235
Hieber, Matthias; Nesensohn, Manuel; Prüss, Jan; Schade, Katharina
17
2016
Stokes resolvent estimates in spaces of bounded functions. Zbl 1328.35145
Abe, Ken; Giga, Yoshikazu; Hieber, Matthias
17
2015
Weak Neumann implies Stokes. Zbl 1253.35099
Geissert, Matthias; Heck, Horst; Hieber, Matthias; Sawada, Okihiro
17
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
17
2010
Pseudo-differential operators and maximal regularity results for non-autonomous parabolic equations. Zbl 0937.35195
Hieber, Matthias; Monniaux, Sylvie
15
2000
Regularized semigroups and systems of linear partial differential equations. Zbl 0789.35075
Hieber, M.; Holderrieth, A.; Neubrander, F.
15
1992
Integrated semigroups and differential operators on \(L^ p({\mathbb{R}}^ n)\). Zbl 0697.47038
Hieber, Matthias
15
1989
Global strong well-posedness of the three dimensional primitive equations in \({L^p}\)-spaces. Zbl 1350.35155
Hieber, Matthias; Kashiwabara, Takahito
14
2016
A general approach to time periodic incompressible viscous fluid flow problems. Zbl 1334.35231
Geissert, Matthias; Hieber, Matthias; Nguyen, Thieu Huy
14
2016
The Ornstein-Uhlenbeck semigroup in exterior domains. Zbl 1114.47043
Geissert, M.; Heck, H.; Hieber, M.; Wood, I.
11
2005
Maximal \(L^p\)-regularity for elliptic operators with VMO-coefficients. Zbl 1225.35080
Heck, Horst; Hieber, Matthias
10
2003
Gaussian estimates and holomorphy of semigroups on \(L^p\) spaces. Zbl 0893.47024
Hieber, Matthias
10
1996
Linear and semilinear parabolic equations on \(BUC(\mathbb{R}^ N)\). Zbl 0863.35044
Hieber, Matthias; Koch-Medina, Pablo; Merino, Sandro
9
1996
\(L^ p\) spectra of pseudodifferential operators generating integrated semigroups. Zbl 0847.47027
Hieber, Matthias
9
1995
Nonlinear stability of Ekman boundary layers. Zbl 1197.35193
Hess, Matthias; Hieber, Matthias; Mahalov, Alex; Saal, Jürgen
8
2010
Heat-kernels and maximal \(L^p\)-\(L^q\)-estimates: The non-autonomous case. Zbl 0979.35028
Hieber, Matthias; Monniaux, Sylvie
8
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
7
2009
The Navier-Stokes flow for globally Lipschitz continuous initial data. Zbl 1119.35051
Hieber, Matthias; Rhandi, Abdelaziz; Sawada, Okihiro
7
2007
On the bidomain problem with FitzHugh-Nagumo transport. Zbl 1395.35115
Hieber, Matthias; Prüss, Jan
6
2018
Dynamics of the Ericksen-Leslie equations with general Leslie stress. I: The incompressible isotropic case. Zbl 1383.35162
Hieber, Matthias; Prüss, Jan
6
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
6
2016
The \(L^p\)-approach to the fluid-rigid body interaction problem for compressible fluids. Zbl 1336.35293
Hieber, Matthias; Murata, Miho
6
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
6
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
6
2009
Boundary values of holomorphic semigroups. Zbl 0869.47025
Arendt, Wolfgang; El Mennaoui, Omar; Hieber, Matthias
6
1997
Integrated semigroups and the Cauchy problem for systems in \(L^ p\) spaces. Zbl 0766.47014
Hieber, Matthias
6
1991
Local and global existence results for the Navier-Stokes equations in the rotational framework. Zbl 1314.35096
Fang, Daoyuan; Han, Bin; Hieber, Matthias
5
2015
\(L^\infty\)-estimates for parabolic systems with VMO-coefficients. Zbl 1201.35059
Heck, Horst; Hieber, Matthias; Stavrakidis, Kyriakos
5
2010
Muckenhoupt weights and maximal \(L^p\)-regularity. Zbl 1108.35100
Haller, Robert; Heck, Horst; Hieber, Matthias
5
2003
Operator valued Fourier multipliers. Zbl 0919.47021
Hieber, Matthias
5
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
4
2017
Thermodynamical consistent modeling and analysis of nematic liquid crystal flows. Zbl 1366.76010
Hieber, Matthias; Prüss, Jan
4
2016
Bounded analyticity of the Stokes semigroup on spaces of bounded functions. Zbl 1338.35364
Hieber, Matthias; Maremonti, Paolo
4
2016
Second-order parabolic equations with unbounded coefficients in exterior domains. Zbl 1212.35037
Hieber, Matthias; Lorenzi, Luca; Rhandi, Abdelaziz
4
2007
Dynamics of the Ericksen-Leslie equations with general Leslie stress. II: The compressible isotropic case. Zbl 1415.35230
Hieber, Matthias; Prüss, Jan
3
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
3
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
3
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
3
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
3
2015
Stochastic stability of the Ekman spiral. Zbl 1264.35293
Hieber, Matthias; Stannat, Wilhelm
3
2013
\(L^p\) spectral independence of elliptic operators via commutator estimates. Zbl 0930.35058
Hieber, Matthias; Schrohe, Elmar
3
1999
Diffusive logistic growth on \(\mathbb{R}^ N\). Zbl 0858.35055
Hieber, Matthias; Koch Medina, Pablo; Merino, Sandro
3
1996
Spectral theory and Cauchy problems on \(L^p\) spaces. Zbl 0905.47035
Hieber, Matthias
3
1994
An operator-theoretical approach to Dirac’s equation on \(L^ p\)-spaces. Zbl 0748.47036
Hieber, Matthias
3
1991
Analyticity of solutions to the primitive equations. Zbl 07198939
Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito
2
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
2
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
2
2019
Density-dependent incompressible viscous fluid flow subject to linearly growing initial data. Zbl 1246.35147
Fang, Daoyuan; Hieber, Matthias; Zhang, Ting
2
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
2
2010
Irreducibility and mixed boundary conditions. Zbl 1145.35061
Haller-Dintelmann, Robert; Hieber, Matthias; Rehberg, Joachim
2
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
2
2006
\(H^\infty\)-calculus for products of non-commuting operators. Zbl 1096.47018
Haller-Dintelmann, Robert; Hieber, Matthias
2
2005
A characterization of the growth bound of a semigroup via Fourier multipliers. Zbl 0985.47032
Hieber, Matthias
2
2001
A remark on the abstract Cauchy problem on spaces of Hölder continuous functions. Zbl 0765.34042
Hieber, Matthias; Räbiger, Frank
2
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
1
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
1
2020
Strong solutions for two-phase free boundary problems for a class of non-Newtonian fluids. Zbl 1396.35049
Hieber, Matthias; Saito, Hirokazu
1
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
1
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
1
2007
Asymptotics of perturbations to the wave equation. Zbl 1047.35017
Hieber, Matthias; Wood, Ian
1
2003
Heat kernel and maximal \(L^p-L^q\) estimates: The nonautonomous case. Zbl 0926.34050
Hieber, Matthias; Monniaux, Sylvie
1
1999
Gaussian estimates and invariance of the \(L^p\)-spectrum for elliptic operators of higher order. Zbl 0895.35070
Hieber, Matthias
1
1996
\(H^ \infty\)-calculus for second order elliptic operators in divergence form. Zbl 0834.35036
Hieber, M.
1
1995
On linear hyperbolic systems with multiple characteristics. Zbl 0822.47043
Hieber, Matthias
1
1995
Heat kernels and bounded \(H^ \infty\)-calculus on \(L^ p\)-spaces. Zbl 0822.47042
Hieber, Matthias
1
1994
Analyticity of solutions to the primitive equations. Zbl 07198939
Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito
2
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
1
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
1
2020
Dynamics of the Ericksen-Leslie equations with general Leslie stress. II: The compressible isotropic case. Zbl 1415.35230
Hieber, Matthias; Prüss, Jan
3
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
2
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
2
2019
On the bidomain problem with FitzHugh-Nagumo transport. Zbl 1395.35115
Hieber, Matthias; Prüss, Jan
6
2018
Dynamics of the Ericksen-Leslie equations with general Leslie stress. I: The incompressible isotropic case. Zbl 1383.35162
Hieber, Matthias; Prüss, Jan
6
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
4
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
3
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
3
2017
Strong solutions for two-phase free boundary problems for a class of non-Newtonian fluids. Zbl 1396.35049
Hieber, Matthias; Saito, Hirokazu
1
2017
Dynamics of nematic liquid crystal flows: the quasilinear approach. Zbl 1334.35235
Hieber, Matthias; Nesensohn, Manuel; Prüss, Jan; Schade, Katharina
17
2016
Global strong well-posedness of the three dimensional primitive equations in \({L^p}\)-spaces. Zbl 1350.35155
Hieber, Matthias; Kashiwabara, Takahito
14
2016
A general approach to time periodic incompressible viscous fluid flow problems. Zbl 1334.35231
Geissert, Matthias; Hieber, Matthias; Nguyen, Thieu Huy
14
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
6
2016
Thermodynamical consistent modeling and analysis of nematic liquid crystal flows. Zbl 1366.76010
Hieber, Matthias; Prüss, Jan
4
2016
Bounded analyticity of the Stokes semigroup on spaces of bounded functions. Zbl 1338.35364
Hieber, Matthias; Maremonti, Paolo
4
2016
Stokes resolvent estimates in spaces of bounded functions. Zbl 1328.35145
Abe, Ken; Giga, Yoshikazu; Hieber, Matthias
17
2015
The \(L^p\)-approach to the fluid-rigid body interaction problem for compressible fluids. Zbl 1336.35293
Hieber, Matthias; Murata, Miho
6
2015
Local and global existence results for the Navier-Stokes equations in the rotational framework. Zbl 1314.35096
Fang, Daoyuan; Han, Bin; Hieber, Matthias
5
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
3
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
3
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
19
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
18
2013
Stochastic stability of the Ekman spiral. Zbl 1264.35293
Hieber, Matthias; Stannat, Wilhelm
3
2013
Global existence results for Oldroyd-B fluids in exterior domains. Zbl 1234.35195
Hieber, Matthias; Naito, Yuka; Shibata, Yoshihiro
20
2012
Weak Neumann implies Stokes. Zbl 1253.35099
Geissert, Matthias; Heck, Horst; Hieber, Matthias; Sawada, Okihiro
17
2012
Density-dependent incompressible viscous fluid flow subject to linearly growing initial data. Zbl 1246.35147
Fang, Daoyuan; Hieber, Matthias; Zhang, Ting
2
2012
Vector-valued Laplace transforms and Cauchy problems. 2nd ed. Zbl 1226.34002
Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank
225
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
6
2011
The Fujita-Kato approach to the Navier-Stokes equations in the rotational framework. Zbl 1190.35175
Hieber, Matthias; Shibata, Yoshihiro
26
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
17
2010
Nonlinear stability of Ekman boundary layers. Zbl 1197.35193
Hess, Matthias; Hieber, Matthias; Mahalov, Alex; Saal, Jürgen
8
2010
\(L^\infty\)-estimates for parabolic systems with VMO-coefficients. Zbl 1201.35059
Heck, Horst; Hieber, Matthias; Stavrakidis, Kyriakos
5
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
2
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
7
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
6
2009
Quasilinear parabolic systems with mixed boundary conditions on nonsmooth domains. Zbl 1221.35194
Hieber, Matthias; Rehberg, Joachim
19
2008
Irreducibility and mixed boundary conditions. Zbl 1145.35061
Haller-Dintelmann, Robert; Hieber, Matthias; Rehberg, Joachim
2
2008
Optimal \(L^{p}\)- \(L^{q}\)-estimates for parabolic boundary value problems with inhomogeneous data. Zbl 1210.35066
Denk, Robert; Hieber, Matthias; Prüss, Jan
90
2007
The Navier-Stokes flow for globally Lipschitz continuous initial data. Zbl 1119.35051
Hieber, Matthias; Rhandi, Abdelaziz; Sawada, Okihiro
7
2007
Second-order parabolic equations with unbounded coefficients in exterior domains. Zbl 1212.35037
Hieber, Matthias; Lorenzi, Luca; Rhandi, Abdelaziz
4
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
1
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
1
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
43
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
26
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
23
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
2
2006
The Navier-Stokes equations on \(\mathbb R^n\) with linearly growing initial data. Zbl 1072.35144
Hieber, Matthias; Sawada, Okihiro
27
2005
The Ornstein-Uhlenbeck semigroup in exterior domains. Zbl 1114.47043
Geissert, M.; Heck, H.; Hieber, M.; Wood, I.
11
2005
\(H^\infty\)-calculus for products of non-commuting operators. Zbl 1096.47018
Haller-Dintelmann, Robert; Hieber, Matthias
2
2005
New thoughts on old results of R. T. Seeley. Zbl 1113.35057
Denk, Robert; Dore, Giovanni; Hieber, Matthias; Prüss, Jan; Venni, Alberto
43
2004
\({\mathcal R}\)-boundedness, Fourier multipliers and problems of elliptic and parabolic type. Zbl 1274.35002
Denk, Robert; Hieber, Matthias; Prüss, Jan
226
2003
Maximal \(L^p\)-regularity for elliptic operators with VMO-coefficients. Zbl 1225.35080
Heck, Horst; Hieber, Matthias
10
2003
Muckenhoupt weights and maximal \(L^p\)-regularity. Zbl 1108.35100
Haller, Robert; Heck, Horst; Hieber, Matthias
5
2003
Asymptotics of perturbations to the wave equation. Zbl 1047.35017
Hieber, Matthias; Wood, Ian
1
2003
Vector-valued Laplace transforms and Cauchy problems. Zbl 0978.34001
Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank
452
2001
\(L^p\)-theory of the Stokes equation in a half space. Zbl 0983.35102
Desch, Wolfgang; Hieber, Matthias; Prüss, Jan
50
2001
A characterization of the growth bound of a semigroup via Fourier multipliers. Zbl 0985.47032
Hieber, Matthias
2
2001
Pseudo-differential operators and maximal regularity results for non-autonomous parabolic equations. Zbl 0937.35195
Hieber, Matthias; Monniaux, Sylvie
15
2000
Heat-kernels and maximal \(L^p\)-\(L^q\)-estimates: The non-autonomous case. Zbl 0979.35028
Hieber, Matthias; Monniaux, Sylvie
8
2000
Operator valued Fourier multipliers. Zbl 0919.47021
Hieber, Matthias
5
1999
\(L^p\) spectral independence of elliptic operators via commutator estimates. Zbl 0930.35058
Hieber, Matthias; Schrohe, Elmar
3
1999
Heat kernel and maximal \(L^p-L^q\) estimates: The nonautonomous case. Zbl 0926.34050
Hieber, Matthias; Monniaux, Sylvie
1
1999
Functional calculi for linear operators in vector-valued \(L^p\)-spaces via the transference principle. Zbl 0956.47008
Hieber, Matthias; Prüss, Jan
22
1998
Heat kernels and maximal \(L^ p\)-\(L^ q\) estimates for parabolic evolution equations. Zbl 0886.35030
Hieber, Matthias; Prüss, Jan
115
1997
Boundary values of holomorphic semigroups. Zbl 0869.47025
Arendt, Wolfgang; El Mennaoui, Omar; Hieber, Matthias
6
1997
Gaussian estimates and holomorphy of semigroups on \(L^p\) spaces. Zbl 0893.47024
Hieber, Matthias
10
1996
Linear and semilinear parabolic equations on \(BUC(\mathbb{R}^ N)\). Zbl 0863.35044
Hieber, Matthias; Koch-Medina, Pablo; Merino, Sandro
9
1996
Diffusive logistic growth on \(\mathbb{R}^ N\). Zbl 0858.35055
Hieber, Matthias; Koch Medina, Pablo; Merino, Sandro
3
1996
Gaussian estimates and invariance of the \(L^p\)-spectrum for elliptic operators of higher order. Zbl 0895.35070
Hieber, Matthias
1
1996
\(L^ p\) spectra of pseudodifferential operators generating integrated semigroups. Zbl 0847.47027
Hieber, Matthias
9
1995
\(H^ \infty\)-calculus for second order elliptic operators in divergence form. Zbl 0834.35036
Hieber, M.
1
1995
On linear hyperbolic systems with multiple characteristics. Zbl 0822.47043
Hieber, Matthias
1
1995
Bounded \(H_ \infty\)-calculus for elliptic operators. Zbl 0799.35060
Amann, Herbert; Hieber, Matthias; Simonett, Gieri
38
1994
Spectral theory and Cauchy problems on \(L^p\) spaces. Zbl 0905.47035
Hieber, Matthias
3
1994
Heat kernels and bounded \(H^ \infty\)-calculus on \(L^ p\)-spaces. Zbl 0822.47042
Hieber, Matthias
1
1994
Integrated semigroups and differential operators on \(L^ p\) spaces. Zbl 0724.34067
Hieber, Matthias
52
1992
Regularized semigroups and systems of linear partial differential equations. Zbl 0789.35075
Hieber, M.; Holderrieth, A.; Neubrander, F.
15
1992
A remark on the abstract Cauchy problem on spaces of Hölder continuous functions. Zbl 0765.34042
Hieber, Matthias; Räbiger, Frank
2
1992
Laplace transforms and \(\alpha\)-times integrated semigroups. Zbl 0766.47013
Hieber, Matthias
26
1991
Integrated semigroups and the Cauchy problem for systems in \(L^ p\) spaces. Zbl 0766.47014
Hieber, Matthias
6
1991
An operator-theoretical approach to Dirac’s equation on \(L^ p\)-spaces. Zbl 0748.47036
Hieber, Matthias
3
1991
Integrated semigroups. Zbl 0689.47014
Kellerman, Hermann; Hieber, Matthias
144
1989
Integrated semigroups and differential operators on \(L^ p({\mathbb{R}}^ n)\). Zbl 0697.47038
Hieber, Matthias
15
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
all top 5

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
all top 5

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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