Edit Profile (opens in new tab) Hieber, Matthias Compute Distance To: Compute Author ID: hieber.matthias Published as: Hieber, Matthias; Hieber, M. External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 118 Publications since 1989, including 6 Books 6 Contributions as Editor · 1 Further Contribution Reviewing Activity: 7 Reviews Biographic References: 1 Publication Co-Authors: 86 Co-Authors with 97 Joint Publications 1,696 Co-Co-Authors all top 5 Co-Authors 26 single-authored 15 Prüß, Jan Wilhelm 13 Geissert, Matthias 9 Giga, Yoshikazu 9 Heck, Horst 8 Kashiwabara, Takahito 6 Denk, Robert 6 Hussein, Amru 6 Seyfert, Anton 5 Kozono, Hideo 5 Sawada, Okihiro 5 Shimizu, Senjo 5 Yanagisawa, Taku 4 Arendt, Wolfgang 4 Gries, Mathis Yannik 4 Haller-Dintelmann, Robert 4 Monniaux, Sylvie 4 Neubrander, Frank 4 Nguyen Thieu Huy 4 Shibata, Yoshihiro 3 Fang, Daoyuan 3 Galdi, Giovanni Paolo 3 Rhandi, Abdelaziz 3 Simonett, Gieri 3 Titi, Edriss Saleh 2 Amann, Herbert 2 Batty, Charles J. K. 2 Brandt, Felix 2 Disser, Karoline 2 Guidotti, Patrick Q. 2 Han, Bin 2 Hess, Matthias 2 Koch Medina, Pablo 2 Kress, Klaus 2 Lorenzi, Luca 2 Mahalov, Alex 2 Merino, Sandro 2 Rehberg, Joachim 2 Saal, Jürgen 2 Schnaubelt, Roland 2 Stavrakidis, Kyriakos 2 Stinner, Christian 2 Zi, Ruizhao 1 Abe, Ken 1 Binz, Tim 1 Bolkart, Martin 1 Bothe, Dieter 1 Campiti, Michele 1 Desch, Wolfgang 1 Dintelmann, Eva Charlotte 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 Korn, Peter 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 Robinson, James Cooper 1 Saito, Hirokazu 1 Schade, Katharina Clara 1 Schrohe, Elmar 1 Schwarz, Céline 1 Stannat, Wilhelm 1 Stanzhytskyi, Oleksandr M. 1 Takada, Ryo 1 Tolksdorf, Patrick 1 Venni, Alberto 1 von Below, Joachim 1 Walker, Christoph 1 Wen, Huanyao 1 Wilke, Mathias 1 Wrona, Marc Philipp 1 Zacher, Rico 1 Zajączkowski, Wojciech M. 1 Zhang, Ting all top 5 Serials 5 Archiv der Mathematik 5 Mathematische Annalen 5 Journal of Evolution Equations 4 Archive for Rational Mechanics and Analysis 4 Nonlinearity 4 Journal of Differential Equations 4 Journal of Functional Analysis 4 Mathematische Zeitschrift 4 Proceedings of the American Mathematical Society 4 Differential and Integral Equations 3 Transactions of the American Mathematical Society 3 The Journal of Geometric Analysis 3 Oberwolfach Reports 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 Journal of Mathematical Fluid Mechanics 2 Communications on Pure and Applied Analysis 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 Journal of Nonlinear Science 1 Calculus of Variations and Partial Differential Equations 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 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Lecture Notes in Mathematics 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 1 SN Partial Differential Equations and Applications all top 5 Fields 103 Partial differential equations (35-XX) 59 Operator theory (47-XX) 47 Fluid mechanics (76-XX) 14 Geophysics (86-XX) 9 Ordinary differential equations (34-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Functional analysis (46-XX) 6 General and overarching topics; collections (00-XX) 6 Probability theory and stochastic processes (60-XX) 6 Biology and other natural sciences (92-XX) 3 Real functions (26-XX) 3 Integral transforms, operational calculus (44-XX) 3 Differential geometry (53-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 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 99 Publications have been cited 2,702 times in 1,975 Documents Cited by ▼ Year ▼ Vector-valued Laplace transforms and Cauchy problems. Zbl 0978.34001Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank 519 2001 Vector-valued Laplace transforms and Cauchy problems. 2nd ed. Zbl 1226.34002Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank 332 2011 \({\mathcal R}\)-boundedness, Fourier multipliers and problems of elliptic and parabolic type. Zbl 1274.35002Denk, Robert; Hieber, Matthias; Prüss, Jan 253 2003 Heat kernels and maximal \(L^ p\)-\(L^ q\) estimates for parabolic evolution equations. Zbl 0886.35030Hieber, Matthias; Prüss, Jan 154 1997 Integrated semigroups. Zbl 0689.47014Kellerman, Hermann; Hieber, Matthias 146 1989 Optimal \(L^{p}\)- \(L^{q}\)-estimates for parabolic boundary value problems with inhomogeneous data. Zbl 1210.35066Denk, Robert; Hieber, Matthias; Prüss, Jan 128 2007 \(L^p\)-theory of the Stokes equation in a half space. Zbl 0983.35102Desch, Wolfgang; Hieber, Matthias; Prüss, Jan 60 2001 \(L^p\)-theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle. Zbl 1102.76015Geissert, Matthias; Heck, Horst; Hieber, Matthias 52 2006 New thoughts on old results of R. T. Seeley. Zbl 1113.35057Denk, Robert; Dore, Giovanni; Hieber, Matthias; Prüss, Jan; Venni, Alberto 52 2004 Bounded \(H_ \infty\)-calculus for elliptic operators. Zbl 0799.35060Amann, Herbert; Hieber, Matthias; Simonett, Gieri 49 1994 Integrated semigroups and differential operators on \(L^ p\) spaces. Zbl 0724.34067Hieber, Matthias 48 1992 A general approach to time periodic incompressible viscous fluid flow problems. Zbl 1334.35231Geissert, Matthias; Hieber, Matthias; Nguyen, Thieu Huy 40 2016 On the equation \(\operatorname{div} u=g\) and Bogovskiĭ’s operator in Sobolev spaces of negative order. Zbl 1218.35073Geißert, Matthias; Heck, Horst; Hieber, Matthias 38 2006 The Fujita-Kato approach to the Navier-Stokes equations in the rotational framework. Zbl 1190.35175Hieber, Matthias; Shibata, Yoshihiro 36 2010 Global existence results for Oldroyd-B fluids in exterior domains: the case of non-small coupling parameters. Zbl 1314.35097Fang, Daoyuang; Hieber, Matthias; Zi, Ruizhao 36 2013 \(L^p\)-theory for strong solutions to fluid-rigid body interaction in Newtonian and generalized Newtonian fluids. Zbl 1282.35273Geissert, Matthias; Götze, Karoline; Hieber, Matthias 35 2013 The Navier-Stokes equations on \(\mathbb R^n\) with linearly growing initial data. Zbl 1072.35144Hieber, Matthias; Sawada, Okihiro 33 2005 Laplace transforms and \(\alpha\)-times integrated semigroups. Zbl 0766.47013Hieber, Matthias 33 1991 Global strong well-posedness of the three dimensional primitive equations in \({L^p}\)-spaces. Zbl 1350.35155Hieber, Matthias; Kashiwabara, Takahito 32 2016 Global existence results for Oldroyd-B fluids in exterior domains. Zbl 1234.35195Hieber, Matthias; Naito, Yuka; Shibata, Yoshihiro 30 2012 Functional calculi for linear operators in vector-valued \(L^p\)-spaces via the transference principle. Zbl 0956.47008Hieber, Matthias; Prüss, Jan 30 1998 \(L^p\)-\(L^q\) estimates for parabolic systems in non-divergence form with VMO coefficients. Zbl 1169.35339Haller-Dintelmann, Robert; Heck, Horst; Hieber, Matthias 26 2006 Weak Neumann implies Stokes. Zbl 1253.35099Geissert, Matthias; Heck, Horst; Hieber, Matthias; Sawada, Okihiro 24 2012 Maximal \(L^p\)-\(L^ q\)-estimates for the Stokes equation: a short proof of Solonnikov’s theorem. Zbl 1261.35120Geissert, Matthias; Hess, Matthias; Hieber, Matthias; Schwarz, Céline; Stavrakidis, Kyriakos 24 2010 Stokes resolvent estimates in spaces of bounded functions. (Estimations de la résolvante de Stokes dans les espaces des fonctions bornées.) Zbl 1328.35145Abe, Ken; Giga, Yoshikazu; Hieber, Matthias 24 2015 Quasilinear parabolic systems with mixed boundary conditions on nonsmooth domains. Zbl 1221.35194Hieber, Matthias; Rehberg, Joachim 23 2008 Dynamics of nematic liquid crystal flows: the quasilinear approach. Zbl 1334.35235Hieber, Matthias; Nesensohn, Manuel; Prüss, Jan; Schade, Katharina 23 2016 The \(L^p\)-approach to the fluid-rigid body interaction problem for compressible fluids. Zbl 1336.35293Hieber, Matthias; Murata, Miho 17 2015 Optimal decay rates for solutions to the incompressible Oldroyd-B model in \(\mathbb{R}^3\). Zbl 1410.35123Hieber, Matthias; Wen, Huanyao; Zi, Ruizhao 16 2019 Pseudo-differential operators and maximal regularity results for non-autonomous parabolic equations. Zbl 0937.35195Hieber, Matthias; Monniaux, Sylvie 16 2000 Regularized semigroups and systems of linear partial differential equations. Zbl 0789.35075Hieber, M.; Holderrieth, A.; Neubrander, F. 15 1992 Global strong \(L^{p}\) well-posedness of the 3D primitive equations with heat and salinity diffusion. Zbl 1351.35139Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito 14 2016 Gaussian estimates and holomorphy of semigroups on \(L^p\) spaces. Zbl 0893.47024Hieber, Matthias 13 1996 Dynamics of the Ericksen-Leslie equations with general Leslie stress. I: The incompressible isotropic case. Zbl 1383.35162Hieber, Matthias; Prüss, Jan 12 2017 Global properties of generalized Ornstein–Uhlenbeck operators on \(L^p(\mathbb R^N, \mathbb R^N)\)with more than linearly growing coefficients. Zbl 1162.47034Hieber, Matthias; Lorenzi, Luca; Prüss, Jan; Rhandi, Abdelaziz; Schnaubelt, Roland 12 2009 Integrated semigroups and differential operators on \(L^ p({\mathbb{R}}^ n)\). Zbl 0697.47038Hieber, Matthias 11 1989 Maximal \(L^p\)-regularity for elliptic operators with VMO-coefficients. Zbl 1225.35080Heck, Horst; Hieber, Matthias 11 2003 The Ornstein-Uhlenbeck semigroup in exterior domains. Zbl 1114.47043Geissert, M.; Heck, H.; Hieber, M.; Wood, I. 11 2005 On periodic and almost periodic solutions to incompressible viscous fluid flow problems on the whole line. Zbl 1384.35088Hieber, Matthias; Nguyen, Thieu Huy; Seyfert, Anton 10 2017 The Navier-Stokes flow for globally Lipschitz continuous initial data. Zbl 1119.35051Hieber, Matthias; Rhandi, Abdelaziz; Sawada, Okihiro 10 2007 \(L^ p\) spectra of pseudodifferential operators generating integrated semigroups. Zbl 0847.47027Hieber, Matthias 10 1995 On the bidomain problem with FitzHugh-Nagumo transport. Zbl 1395.35115Hieber, Matthias; Prüss, Jan 9 2018 Nonlinear stability of Ekman boundary layers. Zbl 1197.35193Hess, Matthias; Hieber, Matthias; Mahalov, Alex; Saal, Jürgen 9 2010 Boundary values of holomorphic semigroups. Zbl 0869.47025Arendt, Wolfgang; El Mennaoui, Omar; Hieber, Matthias 9 1997 Strong \(L^p\)-solutions to the Navier-Stokes flow past moving obstacles: The case of several obstacles and time-dependent velocity. Zbl 1156.76016Dintelmann, Eva; Geissert, Matthias; Hieber, Matthias 9 2009 Bounded \(H^{\infty }\)-calculus for the hydrostatic Stokes operator on \(L^p\)-spaces and applications. Zbl 1480.35323Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito 9 2017 Linear and semilinear parabolic equations on \(BUC(\mathbb{R}^ N)\). Zbl 0863.35044Hieber, Matthias; Koch-Medina, Pablo; Merino, Sandro 9 1996 Heat-kernels and maximal \(L^p\)-\(L^q\)-estimates: The non-autonomous case. Zbl 0979.35028Hieber, Matthias; Monniaux, Sylvie 9 2000 Integrated semigroups and the Cauchy problem for systems in \(L^ p\) spaces. Zbl 0766.47014Hieber, Matthias 8 1991 Muckenhoupt weights and maximal \(L^p\)-regularity. Zbl 1108.35100Haller, Robert; Heck, Horst; Hieber, Matthias 8 2003 Bounded analyticity of the Stokes semigroup on spaces of bounded functions. Zbl 1338.35364Hieber, Matthias; Maremonti, Paolo 8 2016 A characterization of harmonic \(L^r\)-vector fields in two-dimensional exterior domains. Zbl 1464.35102Hieber, Matthias; Kozono, Hideo; Seyfert, Anton; Shimizu, Senjo; Yanagisawa, Taku 8 2020 Strong time-periodic solutions to the 3D primitive equations subject to arbitrary large forces. Zbl 1377.35224Galdi, Giovanni P.; Hieber, Matthias; Kashiwabara, Takahito 7 2017 Dynamics of the Ericksen-Leslie equations with general Leslie stress. II: The compressible isotropic case. Zbl 1415.35230Hieber, Matthias; Prüss, Jan 7 2019 Rigorous justification of the hydrostatic approximation for the primitive equations by scaled Navier-Stokes equations. Zbl 1452.35150Furukawa, Ken; Giga, Yoshikazu; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito; Wrona, Marc 7 2020 Time periodic and almost time periodic solutions to rotating stratified fluids subject to large forces. Zbl 1404.35012Hieber, Matthias; Mahalov, Alex; Takada, Ryo 6 2019 Analyticity of solutions to the primitive equations. Zbl 07198939Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito 6 2020 The hydrostatic Stokes semigroup and well-posedness of the primitive equations on spaces of bounded functions. Zbl 1434.35096Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito 6 2020 The spin-coating process: analysis of the free boundary value problem. Zbl 1229.35331Denk, Robert; Geissert, Matthias; Hieber, Matthias; Saal, Jürgen; Sawada, Okihiro 6 2011 Pointwise upper bounds for the solution of the Stokes equation on \(L_\sigma^\infty(\varOmega)\) and applications. Zbl 1316.35224Bolkart, Martin; Hieber, Matthias 6 2015 \(L^\infty\)-estimates for parabolic systems with VMO-coefficients. Zbl 1201.35059Heck, Horst; Hieber, Matthias; Stavrakidis, Kyriakos 5 2010 Spectral theory and Cauchy problems on \(L^p\) spaces. Zbl 0905.47035Hieber, Matthias 5 1994 Operator valued Fourier multipliers. Zbl 0919.47021Hieber, Matthias 5 1999 Stochastic stability of the Ekman spiral. Zbl 1264.35293Hieber, Matthias; Stannat, Wilhelm 5 2013 Thermodynamical consistent modeling and analysis of nematic liquid crystal flows. Zbl 1366.76010Hieber, Matthias; Prüss, Jan 5 2016 Local and global existence results for the Navier-Stokes equations in the rotational framework. Zbl 1314.35096Fang, Daoyuan; Han, Bin; Hieber, Matthias 5 2015 {Second-order parabolic equations with unbounded coefficients} in exterior domains. Zbl 1212.35037Hieber, Matthias; Lorenzi, Luca; Rhandi, Abdelaziz 4 2007 \(L^p\) spectral independence of elliptic operators via commutator estimates. Zbl 0930.35058Hieber, Matthias; Schrohe, Elmar 4 1999 The periodic version of the Da Prato-Grisvard theorem and applications to the bidomain equations with FitzHugh-Nagumo transport. Zbl 1452.35086Hieber, Matthias; Kajiwara, Naoto; Kress, Klaus; Tolksdorf, Patrick 4 2020 A characterization of the growth bound of a semigroup via Fourier multipliers. Zbl 0985.47032Hieber, Matthias 4 2001 On the bidomain equations driven by stochastic forces. Zbl 1446.35273Hieber, Matthias; Misiats, Oleksandr; Stanzhytskyi, Oleksandr 3 2020 The Dirichlet problem in convex bounded domains for operators in non-divergence form with \(L^\infty \)-coefficients. Zbl 1212.42032Hieber, Matthias; Wood, Ian 3 2007 An operator-theoretical approach to Dirac’s equation on \(L^ p\)-spaces. Zbl 0748.47036Hieber, Matthias 3 1991 \(H^\infty\)-calculus for products of non-commuting operators. Zbl 1096.47018Haller-Dintelmann, Robert; Hieber, Matthias 3 2005 Strong time periodic solutions to Keller-Segel systems: an approach by the quasilinear Arendt-Bu theorem. Zbl 1437.35671Hieber, Matthias; Stinner, Christian 3 2020 Diffusive logistic growth on \(\mathbb{R}^ N\). Zbl 0858.35055Hieber, Matthias; Koch Medina, Pablo; Merino, Sandro 3 1996 Global existence results for the Navier-Stokes equations in the rotational framework in Fourier-Besov spaces. Zbl 1334.35229Fang, Daoyuan; Han, Bin; Hieber, Matthias 3 2015 The Helmholtz-Weyl decomposition of \(L^r\) vector fields for two dimensional exterior domains. Zbl 1466.35146Hieber, Matthias; Kozono, Hideo; Seyfert, Anton; Shimizu, Senjo; Yanagisawa, Taku 3 2021 \(L^r\)-Helmholtz-Weyl decomposition for three dimensional exterior domains. Zbl 1472.35152Hieber, Matthias; Kozono, Hideo; Seyfert, Anton; Shimizu, Senjo; Yanagisawa, Taku 3 2021 Bounded \(H^\infty\)-calculus for a class of nonlocal operators: the bidomain operator in the \(L_q\)-setting. Zbl 1450.35152Hieber, Matthias; Prüss, Jan 2 2020 Density-dependent incompressible viscous fluid flow subject to linearly growing initial data. Zbl 1246.35147Fang, Daoyuan; Hieber, Matthias; Zhang, Ting 2 2012 The model-problem associated to the Stefan problem with surface tension: an approach via Fourier-Laplace multipliers. Zbl 1111.35133Geissert, Matthias; Grec, Bérénice; Hieber, Matthias; Radkevich, Evgeniy 2 2006 Remarks on the \(L^p\)-approach to the Stokes equation on unbounded domains. Zbl 1193.35129Geissert, Matthias; Heck, Horst; Hieber, Matthias; Sawada, Okihiro 2 2010 A remark on the abstract Cauchy problem on spaces of Hölder continuous functions. Zbl 0765.34042Hieber, Matthias; Räbiger, Frank 2 1992 Mathematical analysis of the Navier-Stokes equations. Lecture notes given at the CIME school on mathematical analysis of the Navier-Stokes equations: foundations and overview of basic open problems, Cetraro, Italy, September 4–8, 2017. Zbl 1443.35002 2 2020 Irreducibility and mixed boundary conditions. Zbl 1145.35061Haller-Dintelmann, Robert; Hieber, Matthias; Rehberg, Joachim 2 2008 The primitive equations in the scaling-invariant space \(L^{\infty}(L^1)\). Zbl 1481.35329Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito 1 2021 The Keller-Segel system on bounded convex domains in critical spaces. Zbl 1476.35287Hieber, Matthias; Kress, Klaus; Stinner, Christian 1 2021 Gaussian estimates and invariance of the \(L^p\)-spectrum for elliptic operators of higher order. Zbl 0895.35070Hieber, Matthias 1 1996 Functional analysis and evolution equations. The Günter Lumer volume. Zbl 1131.46001 1 2008 On linear hyperbolic systems with multiple characteristics. Zbl 0822.47043Hieber, Matthias 1 1995 Heat kernels and bounded \(H^ \infty\)-calculus on \(L^ p\)-spaces. Zbl 0822.47042Hieber, Matthias 1 1994 \(L^p\)-theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle. Zbl 1136.35440Geissert, Matthias; Hieber, Matthias 1 2007 A characterization of harmonic \(L^r\)-vector fields in three dimensional exterior domains. Zbl 1498.53055Hieber, Matthias; Kozono, Hideo; Seyfert, Anton; Shimizu, Senjo; Yanagisawa, Taku 1 2022 Rigorous analysis and dynamics of Hibler’s sea ice model. Zbl 1492.35348Brandt, Felix; Disser, Karoline; Haller-Dintelmann, Robert; Hieber, Matthias 1 2022 Strong solutions for two-phase free boundary problems for a class of non-Newtonian fluids. Zbl 1396.35049Hieber, Matthias; Saito, Hirokazu 1 2017 Stability results for fluids of Oldroyd-B type on exterior domains. Zbl 1366.76007Geissert, Matthias; Hieber, Matthias; Huy, Nguyen Thieu 1 2014 Asymptotics of perturbations to the wave equation. Zbl 1047.35017Hieber, Matthias; Wood, Ian 1 2003 Stationary Navier-Stokes equations under inhomogeneous boundary conditions in 3D exterior domains. Zbl 1479.35363Hieber, Matthias; Kozono, Hideo; Seyfert, Anton; Shimizu, Senjo; Yanagisawa, Taku 1 2021 A characterization of harmonic \(L^r\)-vector fields in three dimensional exterior domains. Zbl 1498.53055Hieber, Matthias; Kozono, Hideo; Seyfert, Anton; Shimizu, Senjo; Yanagisawa, Taku 1 2022 Rigorous analysis and dynamics of Hibler’s sea ice model. Zbl 1492.35348Brandt, Felix; Disser, Karoline; Haller-Dintelmann, Robert; Hieber, Matthias 1 2022 The Helmholtz-Weyl decomposition of \(L^r\) vector fields for two dimensional exterior domains. Zbl 1466.35146Hieber, Matthias; Kozono, Hideo; Seyfert, Anton; Shimizu, Senjo; Yanagisawa, Taku 3 2021 \(L^r\)-Helmholtz-Weyl decomposition for three dimensional exterior domains. Zbl 1472.35152Hieber, Matthias; Kozono, Hideo; Seyfert, Anton; Shimizu, Senjo; Yanagisawa, Taku 3 2021 The primitive equations in the scaling-invariant space \(L^{\infty}(L^1)\). Zbl 1481.35329Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito 1 2021 The Keller-Segel system on bounded convex domains in critical spaces. Zbl 1476.35287Hieber, Matthias; Kress, Klaus; Stinner, Christian 1 2021 Stationary Navier-Stokes equations under inhomogeneous boundary conditions in 3D exterior domains. Zbl 1479.35363Hieber, Matthias; Kozono, Hideo; Seyfert, Anton; Shimizu, Senjo; Yanagisawa, Taku 1 2021 A characterization of harmonic \(L^r\)-vector fields in two-dimensional exterior domains. Zbl 1464.35102Hieber, Matthias; Kozono, Hideo; Seyfert, Anton; Shimizu, Senjo; Yanagisawa, Taku 8 2020 Rigorous justification of the hydrostatic approximation for the primitive equations by scaled Navier-Stokes equations. Zbl 1452.35150Furukawa, Ken; Giga, Yoshikazu; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito; Wrona, Marc 7 2020 Analyticity of solutions to the primitive equations. Zbl 07198939Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito 6 2020 The hydrostatic Stokes semigroup and well-posedness of the primitive equations on spaces of bounded functions. Zbl 1434.35096Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito 6 2020 The periodic version of the Da Prato-Grisvard theorem and applications to the bidomain equations with FitzHugh-Nagumo transport. Zbl 1452.35086Hieber, Matthias; Kajiwara, Naoto; Kress, Klaus; Tolksdorf, Patrick 4 2020 On the bidomain equations driven by stochastic forces. Zbl 1446.35273Hieber, Matthias; Misiats, Oleksandr; Stanzhytskyi, Oleksandr 3 2020 Strong time periodic solutions to Keller-Segel systems: an approach by the quasilinear Arendt-Bu theorem. Zbl 1437.35671Hieber, Matthias; Stinner, Christian 3 2020 Bounded \(H^\infty\)-calculus for a class of nonlocal operators: the bidomain operator in the \(L_q\)-setting. Zbl 1450.35152Hieber, Matthias; Prüss, Jan 2 2020 Mathematical analysis of the Navier-Stokes equations. Lecture notes given at the CIME school on mathematical analysis of the Navier-Stokes equations: foundations and overview of basic open problems, Cetraro, Italy, September 4–8, 2017. Zbl 1443.35002 2 2020 Optimal decay rates for solutions to the incompressible Oldroyd-B model in \(\mathbb{R}^3\). Zbl 1410.35123Hieber, Matthias; Wen, Huanyao; Zi, Ruizhao 16 2019 Dynamics of the Ericksen-Leslie equations with general Leslie stress. II: The compressible isotropic case. Zbl 1415.35230Hieber, Matthias; Prüss, Jan 7 2019 Time periodic and almost time periodic solutions to rotating stratified fluids subject to large forces. Zbl 1404.35012Hieber, Matthias; Mahalov, Alex; Takada, Ryo 6 2019 On the bidomain problem with FitzHugh-Nagumo transport. Zbl 1395.35115Hieber, Matthias; Prüss, Jan 9 2018 Dynamics of the Ericksen-Leslie equations with general Leslie stress. I: The incompressible isotropic case. Zbl 1383.35162Hieber, Matthias; Prüss, Jan 12 2017 On periodic and almost periodic solutions to incompressible viscous fluid flow problems on the whole line. Zbl 1384.35088Hieber, Matthias; Nguyen, Thieu Huy; Seyfert, Anton 10 2017 Bounded \(H^{\infty }\)-calculus for the hydrostatic Stokes operator on \(L^p\)-spaces and applications. Zbl 1480.35323Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito 9 2017 Strong time-periodic solutions to the 3D primitive equations subject to arbitrary large forces. Zbl 1377.35224Galdi, Giovanni P.; Hieber, Matthias; Kashiwabara, Takahito 7 2017 Strong solutions for two-phase free boundary problems for a class of non-Newtonian fluids. Zbl 1396.35049Hieber, Matthias; Saito, Hirokazu 1 2017 A general approach to time periodic incompressible viscous fluid flow problems. Zbl 1334.35231Geissert, Matthias; Hieber, Matthias; Nguyen, Thieu Huy 40 2016 Global strong well-posedness of the three dimensional primitive equations in \({L^p}\)-spaces. Zbl 1350.35155Hieber, Matthias; Kashiwabara, Takahito 32 2016 Dynamics of nematic liquid crystal flows: the quasilinear approach. Zbl 1334.35235Hieber, Matthias; Nesensohn, Manuel; Prüss, Jan; Schade, Katharina 23 2016 Global strong \(L^{p}\) well-posedness of the 3D primitive equations with heat and salinity diffusion. Zbl 1351.35139Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito 14 2016 Bounded analyticity of the Stokes semigroup on spaces of bounded functions. Zbl 1338.35364Hieber, Matthias; Maremonti, Paolo 8 2016 Thermodynamical consistent modeling and analysis of nematic liquid crystal flows. Zbl 1366.76010Hieber, Matthias; Prüss, Jan 5 2016 Stokes resolvent estimates in spaces of bounded functions. (Estimations de la résolvante de Stokes dans les espaces des fonctions bornées.) Zbl 1328.35145Abe, Ken; Giga, Yoshikazu; Hieber, Matthias 24 2015 The \(L^p\)-approach to the fluid-rigid body interaction problem for compressible fluids. Zbl 1336.35293Hieber, Matthias; Murata, Miho 17 2015 Pointwise upper bounds for the solution of the Stokes equation on \(L_\sigma^\infty(\varOmega)\) and applications. Zbl 1316.35224Bolkart, Martin; Hieber, Matthias 6 2015 Local and global existence results for the Navier-Stokes equations in the rotational framework. Zbl 1314.35096Fang, Daoyuan; Han, Bin; Hieber, Matthias 5 2015 Global existence results for the Navier-Stokes equations in the rotational framework in Fourier-Besov spaces. Zbl 1334.35229Fang, Daoyuan; Han, Bin; Hieber, Matthias 3 2015 Stability results for fluids of Oldroyd-B type on exterior domains. Zbl 1366.76007Geissert, Matthias; Hieber, Matthias; Huy, Nguyen Thieu 1 2014 Global existence results for Oldroyd-B fluids in exterior domains: the case of non-small coupling parameters. Zbl 1314.35097Fang, Daoyuang; Hieber, Matthias; Zi, Ruizhao 36 2013 \(L^p\)-theory for strong solutions to fluid-rigid body interaction in Newtonian and generalized Newtonian fluids. Zbl 1282.35273Geissert, Matthias; Götze, Karoline; Hieber, Matthias 35 2013 Stochastic stability of the Ekman spiral. Zbl 1264.35293Hieber, Matthias; Stannat, Wilhelm 5 2013 Global existence results for Oldroyd-B fluids in exterior domains. Zbl 1234.35195Hieber, Matthias; Naito, Yuka; Shibata, Yoshihiro 30 2012 Weak Neumann implies Stokes. Zbl 1253.35099Geissert, Matthias; Heck, Horst; Hieber, Matthias; Sawada, Okihiro 24 2012 Density-dependent incompressible viscous fluid flow subject to linearly growing initial data. Zbl 1246.35147Fang, Daoyuan; Hieber, Matthias; Zhang, Ting 2 2012 Vector-valued Laplace transforms and Cauchy problems. 2nd ed. Zbl 1226.34002Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank 332 2011 The spin-coating process: analysis of the free boundary value problem. Zbl 1229.35331Denk, 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 1190.35175Hieber, Matthias; Shibata, Yoshihiro 36 2010 Maximal \(L^p\)-\(L^ q\)-estimates for the Stokes equation: a short proof of Solonnikov’s theorem. Zbl 1261.35120Geissert, Matthias; Hess, Matthias; Hieber, Matthias; Schwarz, Céline; Stavrakidis, Kyriakos 24 2010 Nonlinear stability of Ekman boundary layers. Zbl 1197.35193Hess, Matthias; Hieber, Matthias; Mahalov, Alex; Saal, Jürgen 9 2010 \(L^\infty\)-estimates for parabolic systems with VMO-coefficients. Zbl 1201.35059Heck, Horst; Hieber, Matthias; Stavrakidis, Kyriakos 5 2010 Remarks on the \(L^p\)-approach to the Stokes equation on unbounded domains. Zbl 1193.35129Geissert, 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 1162.47034Hieber, Matthias; Lorenzi, Luca; Prüss, Jan; Rhandi, Abdelaziz; Schnaubelt, Roland 12 2009 Strong \(L^p\)-solutions to the Navier-Stokes flow past moving obstacles: The case of several obstacles and time-dependent velocity. Zbl 1156.76016Dintelmann, Eva; Geissert, Matthias; Hieber, Matthias 9 2009 Quasilinear parabolic systems with mixed boundary conditions on nonsmooth domains. Zbl 1221.35194Hieber, Matthias; Rehberg, Joachim 23 2008 Irreducibility and mixed boundary conditions. Zbl 1145.35061Haller-Dintelmann, Robert; Hieber, Matthias; Rehberg, Joachim 2 2008 Functional analysis and evolution equations. The Günter Lumer volume. Zbl 1131.46001 1 2008 Optimal \(L^{p}\)- \(L^{q}\)-estimates for parabolic boundary value problems with inhomogeneous data. Zbl 1210.35066Denk, Robert; Hieber, Matthias; Prüss, Jan 128 2007 The Navier-Stokes flow for globally Lipschitz continuous initial data. Zbl 1119.35051Hieber, Matthias; Rhandi, Abdelaziz; Sawada, Okihiro 10 2007 {Second-order parabolic equations with unbounded coefficients} in exterior domains. Zbl 1212.35037Hieber, 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 1212.42032Hieber, Matthias; Wood, Ian 3 2007 \(L^p\)-theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle. Zbl 1136.35440Geissert, Matthias; Hieber, Matthias 1 2007 \(L^p\)-theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle. Zbl 1102.76015Geissert, Matthias; Heck, Horst; Hieber, Matthias 52 2006 On the equation \(\operatorname{div} u=g\) and Bogovskiĭ’s operator in Sobolev spaces of negative order. Zbl 1218.35073Geißert, Matthias; Heck, Horst; Hieber, Matthias 38 2006 \(L^p\)-\(L^q\) estimates for parabolic systems in non-divergence form with VMO coefficients. Zbl 1169.35339Haller-Dintelmann, Robert; Heck, Horst; Hieber, Matthias 26 2006 The model-problem associated to the Stefan problem with surface tension: an approach via Fourier-Laplace multipliers. Zbl 1111.35133Geissert, Matthias; Grec, Bérénice; Hieber, Matthias; Radkevich, Evgeniy 2 2006 The Navier-Stokes equations on \(\mathbb R^n\) with linearly growing initial data. Zbl 1072.35144Hieber, Matthias; Sawada, Okihiro 33 2005 The Ornstein-Uhlenbeck semigroup in exterior domains. Zbl 1114.47043Geissert, M.; Heck, H.; Hieber, M.; Wood, I. 11 2005 \(H^\infty\)-calculus for products of non-commuting operators. Zbl 1096.47018Haller-Dintelmann, Robert; Hieber, Matthias 3 2005 New thoughts on old results of R. T. Seeley. Zbl 1113.35057Denk, Robert; Dore, Giovanni; Hieber, Matthias; Prüss, Jan; Venni, Alberto 52 2004 \({\mathcal R}\)-boundedness, Fourier multipliers and problems of elliptic and parabolic type. Zbl 1274.35002Denk, Robert; Hieber, Matthias; Prüss, Jan 253 2003 Maximal \(L^p\)-regularity for elliptic operators with VMO-coefficients. Zbl 1225.35080Heck, Horst; Hieber, Matthias 11 2003 Muckenhoupt weights and maximal \(L^p\)-regularity. Zbl 1108.35100Haller, Robert; Heck, Horst; Hieber, Matthias 8 2003 Asymptotics of perturbations to the wave equation. Zbl 1047.35017Hieber, Matthias; Wood, Ian 1 2003 Vector-valued Laplace transforms and Cauchy problems. Zbl 0978.34001Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank 519 2001 \(L^p\)-theory of the Stokes equation in a half space. Zbl 0983.35102Desch, Wolfgang; Hieber, Matthias; Prüss, Jan 60 2001 A characterization of the growth bound of a semigroup via Fourier multipliers. Zbl 0985.47032Hieber, Matthias 4 2001 Pseudo-differential operators and maximal regularity results for non-autonomous parabolic equations. Zbl 0937.35195Hieber, Matthias; Monniaux, Sylvie 16 2000 Heat-kernels and maximal \(L^p\)-\(L^q\)-estimates: The non-autonomous case. Zbl 0979.35028Hieber, Matthias; Monniaux, Sylvie 9 2000 Operator valued Fourier multipliers. Zbl 0919.47021Hieber, Matthias 5 1999 \(L^p\) spectral independence of elliptic operators via commutator estimates. Zbl 0930.35058Hieber, Matthias; Schrohe, Elmar 4 1999 Functional calculi for linear operators in vector-valued \(L^p\)-spaces via the transference principle. Zbl 0956.47008Hieber, Matthias; Prüss, Jan 30 1998 Heat kernels and maximal \(L^ p\)-\(L^ q\) estimates for parabolic evolution equations. Zbl 0886.35030Hieber, Matthias; Prüss, Jan 154 1997 Boundary values of holomorphic semigroups. Zbl 0869.47025Arendt, Wolfgang; El Mennaoui, Omar; Hieber, Matthias 9 1997 Gaussian estimates and holomorphy of semigroups on \(L^p\) spaces. Zbl 0893.47024Hieber, Matthias 13 1996 Linear and semilinear parabolic equations on \(BUC(\mathbb{R}^ N)\). Zbl 0863.35044Hieber, Matthias; Koch-Medina, Pablo; Merino, Sandro 9 1996 Diffusive logistic growth on \(\mathbb{R}^ N\). Zbl 0858.35055Hieber, Matthias; Koch Medina, Pablo; Merino, Sandro 3 1996 Gaussian estimates and invariance of the \(L^p\)-spectrum for elliptic operators of higher order. Zbl 0895.35070Hieber, Matthias 1 1996 \(L^ p\) spectra of pseudodifferential operators generating integrated semigroups. Zbl 0847.47027Hieber, Matthias 10 1995 On linear hyperbolic systems with multiple characteristics. Zbl 0822.47043Hieber, Matthias 1 1995 Bounded \(H_ \infty\)-calculus for elliptic operators. Zbl 0799.35060Amann, Herbert; Hieber, Matthias; Simonett, Gieri 49 1994 Spectral theory and Cauchy problems on \(L^p\) spaces. Zbl 0905.47035Hieber, Matthias 5 1994 Heat kernels and bounded \(H^ \infty\)-calculus on \(L^ p\)-spaces. Zbl 0822.47042Hieber, Matthias 1 1994 Integrated semigroups and differential operators on \(L^ p\) spaces. Zbl 0724.34067Hieber, Matthias 48 1992 Regularized semigroups and systems of linear partial differential equations. Zbl 0789.35075Hieber, M.; Holderrieth, A.; Neubrander, F. 15 1992 A remark on the abstract Cauchy problem on spaces of Hölder continuous functions. Zbl 0765.34042Hieber, Matthias; Räbiger, Frank 2 1992 Laplace transforms and \(\alpha\)-times integrated semigroups. Zbl 0766.47013Hieber, Matthias 33 1991 Integrated semigroups and the Cauchy problem for systems in \(L^ p\) spaces. Zbl 0766.47014Hieber, Matthias 8 1991 An operator-theoretical approach to Dirac’s equation on \(L^ p\)-spaces. Zbl 0748.47036Hieber, Matthias 3 1991 Integrated semigroups. Zbl 0689.47014Kellerman, Hermann; Hieber, Matthias 146 1989 Integrated semigroups and differential operators on \(L^ p({\mathbb{R}}^ n)\). Zbl 0697.47038Hieber, Matthias 11 1989 all cited Publications top 5 cited Publications all top 5 Cited by 1,735 Authors 56 Hieber, Matthias 47 Kostić, Marko 45 Lizama, Carlos 44 Shakhmurov, Veli B. 31 Prüß, Jan Wilhelm 28 Nečasová, Šárka 25 Miana, Pedro J. 24 Arendt, Wolfgang 22 Nguyen Thieu Huy 21 Shimizu, Senjo 18 Bobrowski, Adam 18 Ezzinbi, Khalil 18 Giga, Yoshikazu 18 Magal, Pierre 18 Veraar, Mark C. 17 Mugnolo, Delio 17 Pyatkov, Sergeĭ Grigor’evich 17 Rehberg, Joachim 17 Tomilov, Yuri 15 Batty, Charles J. K. 15 Li, Miao 15 Nguyen Van Minh 15 Pilipović, Stevan 15 Vu Thi Ngoc Ha 15 Weis, Lutz W. 14 Bu, Shangquan 14 Henríquez, Hernán R. 14 Keyantuo, Valentin 14 Shibata, Yoshihiro 14 Simonett, Gieri 13 Chill, Ralph 13 Meerschaert, Mark Marvin 13 Rodríguez-Bernal, Aníbal 13 Saal, Jürgen 13 Schnaubelt, Roland 13 Seifert, David 13 Warma, Mahamadi 12 Cholewa, Jan W. 12 Farwig, Reinhard 12 Feireisl, Eduard 12 Titi, Edriss Saleh 12 van Neerven, Jan M. A. M. 11 Abadias, Luciano 11 Benchohra, Mouffak 11 Denk, Robert 11 Dong, Hongjie 11 Geissert, Matthias 11 Hussein, Amru 11 O’Regan, Donal 11 Ponce, Rodrigo F. 11 Wilke, Mathias 10 Agarwal, Ravi P. 10 Baskakov, Anatoliĭ Grigor’evich 10 Cai, Gang 10 ElMennaoui, Omar 10 Fackler, Stephan 10 Galdi, Giovanni Paolo 10 Gesztesy, Fritz 10 Kovács, Mihály 10 Kozono, Hideo 10 Novotný, Antonín 10 Paunonen, Lassi 10 Takahashi, Takéo 9 Bäumer, Boris 9 Ducrot, Arnaud 9 Galé, José E. 9 Glück, Jochen 9 Gomilko, Alexandre M. 9 Haller-Dintelmann, Robert 9 Kračmar, Stanislav 9 Kunstmann, Peer Christian 9 Kunze, Markus Christian 9 Li, Jinkai 9 Maekawa, Yasunori 9 Maremonti, Paolo 9 Ogawa, Takayoshi 9 ter Elst, Antonius Frederik Maria 9 Tolksdorf, Patrick 9 Velinov, Daniel 9 Xiao, Ti-Jun 9 Zheng, Quan 9 Zi, Ruizhao 8 Bothe, Dieter 8 Cuevas, Claudio 8 deLaubenfels, Ralph J. 8 Engel, Klaus-Jochen 8 Fang, Daoyuan 8 Haase, Markus 8 Hishida, Toshiaki 8 Kim, Doyoon 8 Li, Buyang 8 Liang, Jin 8 Liu, Zhihua 8 Metafune, Giorgio 8 N’Guérékata, Gaston Mandata 8 Ntouyas, Sotiris K. 8 Peng, Jigen 8 Rhandi, Abdelaziz 8 Roidos, Nikolaos 8 Rozendaal, Jan ...and 1,635 more Authors all top 5 Cited in 340 Serials 137 Journal of Mathematical Analysis and Applications 132 Journal of Differential Equations 119 Journal of Evolution Equations 65 Journal of Functional Analysis 62 Semigroup Forum 44 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 41 Journal of Mathematical Fluid Mechanics 35 Archive for Rational Mechanics and Analysis 32 Mathematische Annalen 31 Proceedings of the American Mathematical Society 25 SIAM Journal on Mathematical Analysis 23 Journal of Mathematical Sciences (New York) 22 Discrete and Continuous Dynamical Systems 21 Mathematische Zeitschrift 20 Integral Equations and Operator Theory 20 Nonlinear Analysis. Real World Applications 19 Mathematische Nachrichten 19 Acta Applicandae Mathematicae 18 Mathematical Methods in the Applied Sciences 17 ZAMP. Zeitschrift für angewandte Mathematik und Physik 17 Transactions of the American Mathematical Society 17 Communications on Pure and Applied Analysis 15 Abstract and Applied Analysis 15 Advances in Difference Equations 14 Annali di Matematica Pura ed Applicata. Serie Quarta 14 Fractional Calculus & Applied Analysis 14 Evolution Equations and Control Theory 13 Archiv der Mathematik 12 Advances in Mathematics 12 Journal of the Mathematical Society of Japan 12 Calculus of Variations and Partial Differential Equations 12 Positivity 12 Discrete and Continuous Dynamical Systems. Series B 11 Siberian Mathematical Journal 11 Journal of Integral Equations and Applications 11 Communications in Partial Differential Equations 11 Discrete and Continuous Dynamical Systems. Series S 10 Applicable Analysis 10 Computers & Mathematics with Applications 10 Czechoslovak Mathematical Journal 10 Numerische Mathematik 10 Potential Analysis 10 Acta Mathematica Sinica. English Series 10 Boundary Value Problems 10 Journal of Elliptic and Parabolic Equations 9 Israel Journal of Mathematics 9 MCSS. Mathematics of Control, Signals, and Systems 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Journal of Dynamics and Differential Equations 9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 9 SN Partial Differential Equations and Applications 8 Journal of Mathematical Physics 8 Studia Mathematica 8 SIAM Journal on Control and Optimization 8 SIAM Journal on Numerical Analysis 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 NoDEA. Nonlinear Differential Equations and Applications 8 The Journal of Fourier Analysis and Applications 7 Chaos, Solitons and Fractals 7 Journal of Approximation Theory 7 Applied Mathematics Letters 7 Mediterranean Journal of Mathematics 7 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 7 Complex Analysis and Operator Theory 7 Banach Journal of Mathematical Analysis 7 Journal of Applied Analysis and Computation 7 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal 6 Journal d’Analyse Mathématique 6 Applied Mathematics and Optimization 6 Journal of Computational and Applied Mathematics 6 Numerical Functional Analysis and Optimization 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Stochastic Processes and their Applications 6 Journal of the Australian Mathematical Society 6 Acta Mathematica Scientia. Series B. (English Edition) 5 Communications in Mathematical Physics 5 Nonlinearity 5 Rocky Mountain Journal of Mathematics 5 Applied Mathematics and Computation 5 Indiana University Mathematics Journal 5 Manuscripta Mathematica 5 The Journal of Geometric Analysis 5 Journal of Inverse and Ill-Posed Problems 5 Differential Equations and Dynamical Systems 5 Kinetic and Related Models 5 Science China. Mathematics 5 Afrika Matematika 5 Mathematical Control and Related Fields 5 Journal of Function Spaces 4 Mathematical Notes 4 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques 4 Monatshefte für Mathematik 4 Systems & Control Letters 4 Chinese Annals of Mathematics. Series B 4 Journal of Theoretical Probability 4 Indagationes Mathematicae. New Series 4 Journal of Nonlinear Science 4 Topological Methods in Nonlinear Analysis 4 Electronic Journal of Differential Equations (EJDE) ...and 240 more Serials all top 5 Cited in 51 Fields 1,217 Partial differential equations (35-XX) 754 Operator theory (47-XX) 456 Fluid mechanics (76-XX) 374 Ordinary differential equations (34-XX) 172 Functional analysis (46-XX) 123 Biology and other natural sciences (92-XX) 116 Probability theory and stochastic processes (60-XX) 108 Harmonic analysis on Euclidean spaces (42-XX) 102 Systems theory; control (93-XX) 94 Real functions (26-XX) 91 Integral equations (45-XX) 75 Numerical analysis (65-XX) 66 Mechanics of deformable solids (74-XX) 47 Dynamical systems and ergodic theory (37-XX) 44 Geophysics (86-XX) 40 Abstract harmonic analysis (43-XX) 40 Integral transforms, operational calculus (44-XX) 31 Global analysis, analysis on manifolds (58-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 28 Classical thermodynamics, heat transfer (80-XX) 21 Statistical mechanics, structure of matter (82-XX) 18 Functions of a complex variable (30-XX) 18 Difference and functional equations (39-XX) 16 Special functions (33-XX) 14 Sequences, series, summability (40-XX) 12 Quantum theory (81-XX) 10 Differential geometry (53-XX) 9 Approximations and expansions (41-XX) 7 Operations research, mathematical programming (90-XX) 6 Potential theory (31-XX) 5 Number theory (11-XX) 5 Computer science (68-XX) 5 Mechanics of particles and systems (70-XX) 5 Optics, electromagnetic theory (78-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Statistics (62-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Topological groups, Lie groups (22-XX) 3 General topology (54-XX) 3 Astronomy and astrophysics (85-XX) 2 History and biography (01-XX) 2 Group theory and generalizations (20-XX) 2 Measure and integration (28-XX) 2 Relativity and gravitational theory (83-XX) 1 Combinatorics (05-XX) 1 \(K\)-theory (19-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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