Brandt, Felix ; Hieber, Matthias (2023)
Strong periodic solutions to quasilinear parabolic equations: An approach by the Da Prato–Grisvard theorem.
In: Bulletin of the London Mathematical Society, 55 (4)
doi: 10.1112/blms.12831
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Giga, Yoshikazu ; Gries, Mathis ; Hieber, Matthias ; Hussein, Amru ; Kashiwabara, Takahito (2021)
The primitive equations in the scaling-invariant space L∞(L1).
In: Journal of Evolution Equations, 21 (4)
doi: 10.1007/s00028-021-00716-z
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Giga, Yoshikazu ; Gries, Mathis ; Hieber, Matthias ; Hussein, Amru ; Kashiwabara, Takahito (2020)
The hydrostatic Stokes semigroup and well-posedness of the primitive equations on spaces of bounded functions.
In: Journal of Functional Analysis, 279 (3)
doi: 10.1016/j.jfa.2020.108561
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Hieber, Matthias ; Kozono, Hideo ; Seyfert, Anton ; Shimizu, Senjo ; Yanagisawa, Taku (2020)
The Helmholtz–Weyl decomposition of Lr vector fields for two dimensional exterior domains.
In: The Journal of Geometric Analysis, 2020
doi: 10.1007/s12220-020-00473-4
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Hieber, Matthias ; Stinner, Christian (2020)
Strong time periodic solutions to Keller-Segel systems: An approach by the quasilinear Arendt-Bu theorem.
In: Journal of Differential Equations, 269 (2)
doi: 10.1016/j.jde.2020.01.020
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Hieber, Matthias ; Kajiwara, Naoto ; Kress, Klaus ; Tolksdorf, Patrick (2020)
The periodic version of the Da Prato–Grisvard theorem and applications to the bidomain equations with FitzHugh–Nagumo transport.
In: Annali di Matematica Pura ed Applicata, 199 (6)
doi: 10.1007/s10231-020-00975-6
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Giga, Yoshikazu ; Gries, Mathis ; Hieber, Matthias ; Hussein, Amru ; Kashiwabara, Takahito (2019)
Analyticity of solutions to the primitive equations.
In: Mathematische Nachrichten, 2020
doi: 10.1002/mana.201700401
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Hieber, Matthias ; Mahalov, Alex ; Takada, Ryo (2019)
Time periodic and almost time periodic solutions to rotating stratified fluids subject to large forces.
In: Journal of Differential Equations, 266 (2-3)
doi: 10.1016/j.jde.2018.07.067
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Hieber, Matthias ; Prüss, Jan (2018)
On the bidomain problem with FitzHugh–Nagumo transport.
In: Archiv der Mathematik, 111 (3)
doi: 10.1007/s00013-018-1188-7
Artikel, Bibliographie

Hieber, Matthias ; Prüss, Jan (2017)
Dynamics of the Ericksen–Leslie equations with general Leslie stress I: the incompressible isotropic case.
In: Mathematische Annalen, 369 (3-4)
doi: 10.1007/s00208-016-1453-7
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Bothe, Dieter ; Denk, Robert ; Hieber, Matthias ; Schnaubelt, Roland ; Simonett, Gieri ; Wilke, Mathias ; Zacher, Rico (2017)
Special Issue: Parabolic Evolution Equations, Maximal Regularity, and Applications - Dedicated to Jan Pruss Preface.
In: Journal of Evolution Equations, 17 (1)
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Hieber, Matthias ; Saito, Hirokazu (2017)
Strong solutions for two-phase free boundary problems for a class of non-Newtonian fluids.
In: Journal of Evolution Equations, 17 (1)
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Galdi, Giovanni P. ; Hieber, Matthias ; Kashiwabara, Takahito (2017)
Strong time-periodic solutions to the 3D primitive equations subject to arbitrary large forces.
In: Nonlinearity, 30 (10)
doi: 10.1088/1361-6544/aa8166
Artikel, Bibliographie

Hieber, Matthias ; Nesensohn, Manuel ; Pruess, Jan ; Schade, Katharina (2016)
Dynamics of nematic liquid crystal flows: The quasilinear approach.
In: Annales De L Institut Henri Poincare-Analyse Non Lineaire, 33 (2)
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Geissert, Matthias ; Hieber, Matthias ; Thieu Huy, Nguyen (2016)
A General Approach to Time Periodic Incompressible Viscous Fluid Flow Problems.
In: Archive for Rational Mechanics and Analysis, 220 (3)
Artikel, Bibliographie

Hieber, Matthias ; Kashiwabara, Takahito (2016)
Global Strong Well-Posedness of the Three Dimensional Primitive Equations in L-p-Spaces.
In: Archive for Rational Mechanics and Analysis, 221 (3)
Artikel, Bibliographie

Hieber, Matthias ; Hussein, Amru ; Kashiwabara, Takahito (2016)
Global strong L-P well-posedness of the 3D primitive equations with heat and salinity diffusion.
In: Journal of Differential Equations, 261 (12)
Artikel, Bibliographie

Hieber, Matthias ; Murata, Miho (2015)
THE L-P-APPROACH TO THE FLUID-RIGID BODY INTERACTION PROBLEM FOR COMPRESSIBLE FLUIDS.
In: Evolution Equations and Control Theory, 4 (1)
Artikel, Bibliographie

Bolkart, Martin ; Hieber, Matthias (2015)
Pointwise upper bounds for the solution of the Stokes equation on L-sigma(infinity)(Omega) and applications.
In: Journal of Functional Analysis, 268 (7)
Artikel, Bibliographie

Abe, Ken ; Giga, Yoshikazu ; Hieber, Matthias (2015)
STOKES RESOLVENT ESTIMATES IN SPACES OF BOUNDED FUNCTIONS.
In: Annales Scientifiques De L Ecole Normale Superieure, 48 (3)
Artikel, Bibliographie

Geissert, Matthias ; Hieber, Matthias ; Nguyen Thieu, Huy (2014)
Stability results for fluids of Oldroyd-B type on exterior domains.
In: Journal of Mathematical Physics, 55
Artikel, Bibliographie

Campiti, Michele ; Galdi, Giovanni P. ; Hieber, Matthias (2014)
GLOBAL EXISTENCE OF STRONG SOLUTIONS FOR 2-DIMENSIONAL NAVIER-STOKES EQUATIONS ON EXTERIOR DOMAINS WITH GROWING DATA AT INFINITY.
In: Communications on Pure and Applied Analysis, 13
Artikel, Bibliographie

Hieber, Matthias ; Monniaux, Sylvie (2013)
WELL-POSEDNESS RESULTS FOR THE NAVIER-STOKES EQUATIONS IN THE ROTATIONAL FRAMEWORK.
In: Discrete and Continuous Dynamical Systems, 33
Artikel, Bibliographie

Fang, Daoyuang ; Hieber, Matthias ; Zi, Ruizhao (2013)
Global existence results for Oldroyd-B fluids in exterior domains: the case of non-small coupling parameters.
In: Mathematische Annalen, 357
Artikel, Bibliographie

Hieber, Matthias (2013)
REMARKS ON THE THEORY OF OLDROYD-B FLUIDS IN EXTERIOR DOMAINS.
In: Discrete and Continuous Dynamical Systems-Series S, 6
Artikel, Bibliographie

Geissert, Matthias ; Goetze, Karoline ; Hieber, Matthias (2013)
L-p-THEORY FOR STRONG SOLUTIONS TO FLUID-RIGID BODY INTERACTION IN NEWTONIAN AND GENERALIZED NEWTONIAN FLUIDS.
In: Transactions of the American Mathematical Society, 365
Artikel, Bibliographie

Hieber, Matthias ; Stannat, Wilhelm (2013)
Stochastic stability of the Ekman spiral.
In: Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze, 12
Artikel, Bibliographie

Geissert, Matthias ; Heck, Horst ; Hieber, Matthias ; Sawada, Okihiro (2012)
Weak Neumann implies Stokes.
In: Journal Fur Die Reine Und Angewandte Mathematik, 669
Artikel, Bibliographie

Hieber, Matthias ; Naito, Yuka ; Shibata, Yoshihiro (2012)
Global existence results for Oldroyd-B fluids in exterior domains.
In: Journal of Differential Equations, 252
Artikel, Bibliographie

Fang, Daoyuan ; Hieber, Matthias ; Zhang, Ting (2012)
Density-dependent incompressible viscous fluid flow subject to linearly growing initial data.
In: Applicable Analysis, 91
Artikel, Bibliographie

Denk, Robert ; Geissert, Matthias ; Hieber, Matthias ; Saal, Juergen ; Sawada, Okihiro (2011)
The Spin-Coating Process: Analysis of the Free Boundary Value Problem.
In: Communications in Partial Differential Equations, 36 (7)
Artikel, Bibliographie

Hieber, Matthias ; Shibata, Yoshihiro (2010)
The Fujita-Kato approach to the Navier-Stokes equations in the rotational framework.
In: Mathematische Zeitschrift, 265
Artikel, Bibliographie

Geissert, Matthias ; Hess, Matthias ; Hieber, Matthias ; Schwarz, Celine ; Stavrakidis, Kyriakos (2010)
Maximal L-p-L-q-Estimates for the Stokes Equation: a Short Proof of Solonnikov's Theorem.
In: Journal of Mathematical Fluid Mechanics, 12
Artikel, Bibliographie

Haller-Dintelmann, Robert ; Heck, Horst ; Hieber, Matthias (2006)
Lp-Lq-estimates for parabolic systems in non-divergence form with VMO coefficients.
In: Journal of the London Mathematical Society (2), 74
Artikel, Bibliographie

Haller-Dintelmann, Robert ; Hieber, Matthias (2005)
Hoo-calculus for products of non-commuting operators.
In: Mathematische Zeitschrift, 251
Artikel, Bibliographie

Heck, Horst ; Hieber, Matthias (2003)
Maximal LP-regularity for elliptic operators with VMO-coefficients.
In: Journal of evolution equations, 3
Artikel, Bibliographie

Haller-Dintelmann, Robert ; Heck, Horst ; Hieber, Matthias (2003)
Muckenhaupt weights and maximal Lp-regularity.
In: Archiv der Mathematik, 81
Artikel, Bibliographie