Matthias Hieber

发表

Strong Time Periodic Solutions to the Bidomain Equations with FitzHugh-Nagumo Type Nonlinearities

K. Kress, Naoto Kajiwara, Matthias Hieber, 2017, 1708.05304.

Second-order parabolic equations with unbounded coefficients in exterior domains

A. Rhandi, Matthias Hieber, L. Lorenzi, 2007 .

Stability results for fluids of Oldroyd-B type on exterior domains

Matthias Hieber, M. Geissert, Nguyen Thieu Huy, 2014 .

The stokes equation in the Lp-setting: Well-posedness and regularity properties

Matthias Hieber, J. Saal, 2018 .

Dynamics of Nematic Liquid Crystal Flows: the Quasilinear Approach

Matthias Hieber, Katharina Schade, Matthias Hieber, 2013, 1302.4596.

Modeling and analysis of the ericksen-leslie equations for nematic liquid crystal flows

J. Prüss, Matthias Hieber, 2018 .

Strong solutions for two-phase free boundary problems for a class of non-Newtonian fluids

Matthias Hieber, Hirokazu Saito, 2015, 1509.03428.

On the Bidomain equations driven by stochastic forces

Matthias Hieber, Oleksandr Misiats, Oleksandr Stanzhytskyi, 2020, Discrete & Continuous Dynamical Systems - A.

The primitive equations with stochastic wind driven boundary conditions: global strong well-posedness in critical spaces

Matthias Hieber, Amru Hussein, Martin Saal, 2020, 2009.09449.

Global Strong Well-Posedness of the Stochastic Bidomain Equations with FitzHugh-Nagumo Transport

Matthias Hieber, Amru Hussein, Martin Saal, 2020, SIAM J. Math. Anal..

Rigorous analysis of the interaction problem of sea ice with a rigid body

F. Brandt, Matthias Hieber, Tim Binz, 2022, 2209.14052.

Time periodic solutions to Hibler's sea ice model

F. Brandt, Matthias Hieber, 2022, 2209.12257.

On periodic and almost periodic solutions to incompressible viscous fluid flow problems on the whole line

Thieu Huy Nguyen, Matthias Hieber, Anton Seyfert, 2015 .

The Keller–Segel system on bounded convex domains in critical spaces

K. Kress, Matthias Hieber, C. Stinner, 2021, Partial Differential Equations and Applications.

H-CALCULUS FOR SECOND ORDER ELLIPTIC OPERATORS IN DIVERGENCE FORM

Matthias Hieber, 1995 .

Coupling of the ocean and atmosphere dynamics with sea ice

F. Brandt, Matthias Hieber, Tim Binz, 2022, 2209.13150.

The primitive equations with stochastic wind driven boundary conditions: global strong well-posedness in critical spaces

Matthias Hieber, Amru Hussein, Martin Saal, 2020, 2009.09449.

Dynamics of the Ericksen–Leslie Equations with General Leslie Stress II: The Compressible Isotropic Case

Matthias Hieber, Jan Prüss, J. Prüss, 2019, Archive for Rational Mechanics and Analysis.

Dynamics of the Ericksen–Leslie equations with general Leslie stress I: the incompressible isotropic case

Matthias Hieber, Jan Prüss, J. Prüss, 2016, Mathematische Annalen.

A General Approach to Time Periodic Incompressible Viscous Fluid Flow Problems

Thieu Huy Nguyen, Matthias Hieber, M. Geissert, 2015, Archive for Rational Mechanics and Analysis.

The periodic version of the Da Prato–Grisvard theorem and applications to the bidomain equations with FitzHugh–Nagumo transport

K. Kress, Naoto Kajiwara, Matthias Hieber, 2020, Annali di Matematica Pura ed Applicata (1923 -).

Bounded H ∞ -calculus for a class of nonlocal operators: the bidomain operator in the L q -setting

Matthias Hieber, Jan Prüss, J. Prüss, 2019 .

On the bidomain problem with FitzHugh–Nagumo transport

Matthias Hieber, Jan Prüss, J. Prüss, 2018, Archiv der Mathematik.

The stochastic primitive equations with transport noise and turbulent pressure

A. Agresti, Matthias Hieber, Amru Hussein, 2021, Stochastics and Partial Differential Equations: Analysis and Computations.

The stochastic primitive equations with non-isothermal turbulent pressure

A. Agresti, Matthias Hieber, Amru Hussein, 2022, 2210.05973.

Global Wellposedness of the Primitive Equations with Nonlinear Equation of State in Critical Spaces

Matthias Hieber, Tim Binz, 2022, Journal of Mathematical Fluid Mechanics.

Lp Spectral Independence of Elliptic Operators via Commutator Estimates

Matthias Hieber, E. Schrohe, 1999 .

Integrated semigroups and differential operators onLp spaces

Matthias Hieber, Matthias Georg Hieber, 1991 .

Operator Valued Fourier Multipliers

Matthias Hieber, Matthias Georg Hieber, 1999 .

Boundary values of holomorphic semigroups

W. Arendt, Matthias Hieber, Omar El Mennaoui, 1997 .

Examples of pseudo-differential operators inLp spaces with unbounded imaginary powers

Matthias Hieber, 1996 .

spectra of pseudodifferential operators generating integrated semigroups

Matthias Hieber, 1995 .

Spectral theory and cauchy problems onLp spaces

Matthias Hieber, 1994 .

On strongly elliptic differential operators on L1(ℝn)

Matthias Hieber, 1993 .

A REMARK ON THE ABSTRACT CAUCHY PROBLEM ON SPACES OF HOLDER CONTINUOUS FUNCTIONS

Matthias Hieber, F. Räbiger, 1992 .

Regularized semigroups and systems of linear partial differential equations

F. Neubrander, Matthias Hieber, A. Holderrieth, 1992 .

Integrated semigroups and the Cauchy problem for systems in Lp spaces

Matthias Hieber, 1991 .

Laplace Transforms and α-Times Integrated Semigroups

Matthias Hieber, 1991 .

Fourier multipliers and problems of elliptic and parabolic type

Robert Denk, Francesco Bertola, Christian Kharif, 2003 .

IP SPECTRA OF PSEUDODIFFERENTIAL OPERATORS GENERATING INTEGRATED SEMIGROUPS

Matthias Hieber, 2010 .

Spectral theory of positive semigroups generated by differential operators

Matthias Hieber, 1994 .

Free Boundary Problems via Da Prato-Grisvard Theory

Matthias Hieber, P. Tolksdorf, R. Danchin, 2020, 2011.07918.

Thermodynamical consistent modeling and analysis of nematic liquid crystal flows

Jan Pruess, Matthias Hieber, 2015, 1504.01237.

Quasilinear Parabolic Systems with Mixed Boundary Conditions on Nonsmooth Domains

Matthias Hieber, Joachim Rehberg, J. Rehberg, 2008, SIAM J. Math. Anal..

Analysis of Viscous Fluid Flows: An Approach by Evolution Equations

Matthias Hieber, 2020 .

Well-posedness results for the navier-stokes equations in the rotational framework

Matthias Hieber, Sylvie Monniaux, 2013 .

Pseudo-differential operators and maximal regularity results for non-autonomous parabolic equations

Matthias Hieber, Sylvie Monniaux, 1999 .

Preface

G. Simonett, Matthias Hieber, R. Denk, 2017, Journal of Evolution Equations.

Dynamics of the Ericksen–Leslie equations with general Leslie stress I: the incompressible isotropic case

J. Prüss, Matthias Hieber, 2016, 1607.06599.

Optimal Lp-Lq-estimates for parabolic boundary value problems with inhomogeneous data

J. Prüss, R. Denk, Matthias Hieber, 2007 .

The Fujita–Kato approach to the Navier–Stokes equations in the rotational framework

Yoshihiro Shibata, Y. Shibata, Matthias Hieber, 2010 .

The Navier-Stokes Equations in ℝn with Linearly Growing Initial Data

Matthias Hieber, O. Sawada, 2005 .

Maximal Lp – Lq-Estimates for the Stokes Equation: a Short Proof of Solonnikov’s Theorem

Matthias Hieber, M. Geissert, Matthias Hess, 2010 .

On the Equation div u = g and Bogovskii’s Operator in Sobolev Spaces of Negative Order

Matthias Hieber, M. Geissert, Matthias Georg Hieber, 2006 .

Strong LP-solutions to the Navier-Stokes flow past moving obstacles: The case of several obstacles and time dependent velocity

Matthias Hieber, M. Geissert, Eva Dintelmann, 2008 .

New thoughts on old results of R.T. Seeley

J. Prüss, R. Denk, Matthias Hieber, 2004 .

On operator semigroups arising in the study of incompressible viscous fluid flows

Matthias Hieber, 2020, Philosophical Transactions of the Royal Society A.

Strong time periodic solutions to Keller-Segel systems: An approach by the quasilinear Arendt-Bu theorem

Matthias Hieber, C. Stinner, 2020 .

Analyticity of solutions to the primitive equations

Y. Giga, Takahito Kashiwabara, Matthias Hieber, 2017, Mathematische Nachrichten.

On the bidomain problem with FitzHugh–Nagumo transport

J. Prüss, Matthias Hieber, 2018, Archiv der Mathematik.

Global strong Lp well-posedness of the 3D primitive equations with heat and salinity diffusion

Takahito Kashiwabara, Matthias Hieber, Amru Hussein, 2016, 1605.02614.

Optimal Lp-Lq-regularity for parabolic problems with inhomogeneous boundary data

Robert Denk, Jan Prüss, J. Prüss, 2005 .

SOME NEW THOUGHTS ON OLD RESULTS OF R

Matthias Hieber, G. Dore, Alberto Venni, 2003 .

Gaussian Estimates and Holomorphy of Semigroups on Lp Spaces

Matthias Hieber, 1996 .

Linear and Semilinear Parabolic Equations on BUC(ℝN)

Matthias Hieber, S. Merino, P. Medina, 1996 .

Optimal decay rates for solutions to the incompressible Oldroyd-B model in R3

Matthias Hieber, Huanyao Wen, Ruizhao Zi, 2019, Nonlinearity.

The periodic version of the Da Prato–Grisvard theorem and applications to the bidomain equations with FitzHugh–Nagumo transport

K. Kress, Naoto Kajiwara, Matthias Hieber, 2020, Annali di Matematica Pura ed Applicata (1923 -).

The Spin-Coating Process: Analysis of the Free Boundary Value Problem

R. Denk, Matthias Hieber, M. Geissert, 2011 .

THE NAVIER-STOKES FLOW FOR GLOBALLY LIPSCHITZ CONTINUOUS INITIAL DATA(Kyoto Conference on the Navier-Stokes Equations and their Applications)

A. Rhandi, Matthias Hieber, O. Sawada, 2007 .

L p -theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle

Matthias Geissert, Matthias Hieber, Matthias Hieber, 2006 .

The Navier-Stokes Flow in the Exterior of Rotating Obstacles

Matthias Hieber, 2005 .

Lp-theory for strong solutions to fluid-rigid body interaction in Newtonian and generalized Newtonian fluids

Matthias Hieber, M. Geissert, K. Götze, 2012 .

$ L^p $-Theory of the Stokes equation in a half space

Wolfgang Desch, Jan Prüss, W. Desch, 2001 .

Rigorous Analysis and Dynamics of Hibler’s Sea Ice Model

F. Brandt, Matthias Hieber, R. Haller-Dintelmann, 2021, Journal of Nonlinear Science.

Lp – Lq Estimates for Parabolic Systems in Non‐Divergence Form with VMO Coefficients

Matthias Hieber, R. Haller-Dintelmann, Horst Heck, 2006 .

Weak Neumann implies Stokes

Matthias Hieber, M. Geissert, O. Sawada, 2011 .

H 1 -calculus for Generators of Bounded C 0 -groups and Positive Contraction Semigroups on L P -spaces

Matthias Hieber, 2007 .

Towards an L1-Theory for Vector-Valued Elliptic Boundary Value Problems

J. Prüss, R. Denk, Matthias Hieber, 2003 .

Functional calculi for linear operators in vector-valued $L^p$-spaces via the transference principle

J. Prüss, Matthias Hieber, 1998, Advances in Differential Equations.

Bounded $H_\infty$-calculus for elliptic operators

H. Amann, G. Simonett, Matthias Hieber, 1994, Differential and Integral Equations.

Maximal Lp‐regularity for elliptic operators with VMO‐coefficients

Matthias Hieber, Horst Heck, 2003 .

Muckenhoupt weights and maximal Lp-regularity

Matthias Hieber, R. Haller, Horst Heck, 2003 .

THE $L^{p}$-APPROACH TO GLOBAL STRONG WELL-POSEDNESS OF THE PRIMITIVE EQUATIONS OF OCEAN DYNAMICS (Mathematical Analysis of Viscous Incompressible Fluid)

Matthias Hieber, 2017 .

Bounded ^{∞}-calculus for the hydrostatic Stokes operator on ^{}-spaces and applications

Y. Giga, Takahito Kashiwabara, Matthias Hieber, 2017 .

H∞-calculus for Products of Non-Commuting operators

Matthias Hieber, R. Haller-Dintelmann, 2005 .

Heat Kernels and maximal L^p - L^q Estimates for Parabolic Evolution Equations

Matthias Hieber, Matthias Hieber, 1996 .

Global properties of generalized Ornstein–Uhlenbeck operators on Lp(RN,RN) with more than linearly growing coefficients

A. Rhandi, J. Prüss, R. Schnaubelt, 2009 .

Time periodic solutions to Hibler’s sea ice model

F. Brandt, Matthias Hieber, 2022, Nonlinearity.

Bounded $$H^\infty $$-calculus for a class of nonlocal operators: the bidomain operator in the $$L_q$$-setting

J. Prüss, Matthias Hieber, 2019, Mathematische Annalen.

An Approach to the Primitive Equations for Oceanic and Atmospheric Dynamics by Evolution Equations

Matthias Hieber, Amru Hussein, 2020 .

Parabolic problems : the Herbert Amann festschrift

H. Amann, J. Escher, G. Simonett, 2011 .

The Ornstein-Uhlenbeck semigroup in exterior domains

Matthias Hieber, M. Geissert, I. Wood, 2005 .

Global Strong Well-Posedness of the Three Dimensional Primitive Equations in $${L^p}$$Lp-Spaces

Takahito Kashiwabara, Matthias Hieber, 2015, 1509.01151.

BOUNDED R00-CALCULUS FOR ELLIPTIC OPERATORS

H. Amann, G. Simonett, P. Hess, 2013 .

Rigorous analysis of the interaction problem of sea ice with a rigid body

F. Brandt, Matthias Hieber, Tim Binz, 2022, Mathematische Annalen.

The $L^p$-approach to the fluid-rigid body interaction problem for compressible fluids

Matthias Hieber, M. Murata, 2015 .

Strong periodic solutions to quasilinear parabolic equations: An approach by the Da Prato–Grisvard theorem

F. Brandt, Matthias Hieber, 2023, Bulletin of the London Mathematical Society.

A General Approach to Time Periodic Incompressible Viscous Fluid Flow Problems

Thieu Huy Nguyen, Matthias Hieber, M. Geissert, 2016 .

Diffusive logistic growth on R N

Matthias Hieber, S. Merino, P. Medina, 1996 .

Integrated Semigroups

Matthias Hieber, Kellerman, Mathematisches, 2003 .

The stochastic primitive equations with non-isothermal turbulent pressure

A. Agresti, Matthias Hieber, Amru Hussein, 2022, 2210.05973.

Rigorous justification of the hydrostatic approximation for the primitive equations by scaled Navier–Stokes equations

Y. Giga, M. Wrona, Takahito Kashiwabara, 2018, Nonlinearity.

The hydrostatic Stokes semigroup and well-posedness of the primitive equations on spaces of bounded functions

Y. Giga, Takahito Kashiwabara, Matthias Hieber, 2018, Journal of Functional Analysis.

Nonlinear stability of Ekman boundary layers

A. Mahalov, Matthias Hieber, J. Saal, 2010 .

Global existence results for the Navier-Stokes equations in the rotational framework

B. Han, Matthias Hieber, D. Fang, 2012, 1205.1561.

A Characterization of Harmonic $$L^r$$-Vector Fields in Three Dimensional Exterior Domains

H. Kozono, Matthias Hieber, S. Shimizu, 2022, The Journal of Geometric Analysis.

Stationary Navier–Stokes equations under inhomogeneous boundary conditions in 3D exterior domains

H. Kozono, Matthias Hieber, S. Shimizu, 2021, Calculus of Variations and Partial Differential Equations.

The Helmholtz–Weyl decomposition of $$L^r$$ L r vector fields for two dimensional exterior domains

H. Kozono, Matthias Hieber, S. Shimizu, 2020, The Journal of Geometric Analysis.

$L^r$-Helmholtz-Weyl decomposition for three dimensional exterior domains

H. Kozono, Matthias Hieber, S. Shimizu, 2019, 1912.04452.

A Characterization of Harmonic $$L^r$$Lr-Vector Fields in Two-Dimensional Exterior Domains

H. Kozono, Matthias Hieber, S. Shimizu, 2019, The Journal of Geometric Analysis.

Strong time-periodic solutions to the 3D primitive equations subject to arbitrary large forces

G. Galdi, Takahito Kashiwabara, Matthias Hieber, 2015, 1509.02637.

Pointwise upper bounds for the solution of the Stokes equation on Lσ∞(Ω) and applications

Matthias Hieber, M. Bolkart, 2015 .

GLOBAL EXISTENCE OF STRONG SOLUTIONS FOR 2-DIMENSIONAL NAVIER-STOKES EQUATIONS ON EXTERIOR DOMAINS WITH GROWING DATA AT INFINITY

G. Galdi, Matthias Hieber, M. Campiti, 2014 .

Remarks on the theory of Oldroyd-B fluids in exterior domains

Matthias Hieber, 2013 .

Global existence results for Oldroyd-B fluids in exterior domains: the case of non-small coupling parameters

Matthias Hieber, Ruizhao Zi, D. Fang, 2012 .

Global existence results for Oldroyd-B fluids in exterior domains: the case of non-small coupling parameters

Matthias Hieber, Ruizhao Zi, D. Fang, 2012, Mathematische Annalen.

A remark on the non-uniqueness in L ∞ of the solutions to the two-dimensional Stokes problem in exterior domains

Matthias Hieber, 2020 .

Bounded Analyticity of the Stokes Semigroup on Spaces of Bounded Functions

Matthias Hieber, P. Maremonti, 2016 .

Stokes Resolvent Estimates in Spaces of Bounded Functions

Y. Giga, Matthias Hieber, K. Abe, 2012, 1402.3791.

The primitive equations in the scaling-invariant space $$L^{\infty }(L^1)$$

Yoshikazu Giga, Takahito Kashiwabara, Matthias Hieber, 2017, Journal of Evolution Equations.

The primitive equations in the scaling-invariant space L∞(L1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^{\infty

Y. Giga, Takahito Kashiwabara, Matthias Hieber, 2017, Journal of Evolution Equations.

Irreducibility and Mixed Boundary Conditions

J. Rehberg, Matthias Hieber, R. Haller-Dintelmann, 2008 .

Heat-kernels and maximalLp-Lq-Estimates: The non-autonomous case

Matthias Hieber, Sylvie Monniaux, 2000 .

Dynamics of the Ericksen–Leslie Equations with General Leslie Stress II: The Compressible Isotropic Case

J. Prüss, Matthias Hieber, 2019, Archive for Rational Mechanics and Analysis.

Mathematical Analysis of the Navier-Stokes Equations

James C. Robinson, Y. Shibata, Matthias Hieber, 2020 .

The Dirichlet problem in convex bounded domains for operators in non-divergence form with $L^\infty$-coefficients

Matthias Hieber, I. Wood, 2007, Differential and Integral Equations.