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First Order Approach to $$L^p$$ L p Estimates for the Stokes Operator on Lipschitz Domains

Alan Mcintosh , Sylvie Monniaux
10th International International Society for Analysis, its Applications and Computation Congress (ISAAC 2015), Aug 2015, Macao, China. pp.55 - 75, ⟨10.1007/978-3-319-41945-9_3⟩
Communication dans un congrès hal-01474843v1
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The maximal regularity operator on tent spaces

Pascal Auscher , Sylvie Monniaux , Pierre Portal
Communications on Pure and Applied Analysis, 2012, 11 (6), pp.2213-2219
Article dans une revue hal-00531814v3
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Hodge-Dirac, Hodge-Laplacian and Hodge-Stokes operators in L^p spaces on Lipschitz domains

Alan Mcintosh , Sylvie Monniaux
Revista Matemática Iberoamericana, 2018, 34 (4), pp.1711-1753
Article dans une revue hal-01351604v1
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Well-posedness for the Boussinesq system in critical spaces via maximal regularity

Lorenzo Brandolese , Sylvie Monniaux
Annales de l'Institut Fourier, 2023, 73 (1), pp.1-20. ⟨10.5802/aif.3523⟩
Article dans une revue hal-03038112v2
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Maximal regularity for the Lamé system in certain classes of non-smooth domains

Marius Mitrea , Sylvie Monniaux
Journal of Evolution Equations, 2010, 10 (4), pp.811-833. ⟨10.1007/s00028-010-0071-1⟩
Article dans une revue hal-00535697v1
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THE NONLINEAR HODGE-NAVIER-STOKES EQUATIONS IN LIPSCHITZ DOMAINS

Marius Mitrea , Sylvie Monniaux
Differential and integral equations, 2009, 22 (3-4), pp.339-356
Article dans une revue hal-00535704v1
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Behaviour of the Stokes operators under domain perturbation

Sylvie Monniaux
Science China Mathematics, 2019, 62 (6), pp.1167-1174
Article dans une revue hal-02071564v2
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The Poisson Problem for the Exterior Derivative Operator with Dirichlet Boundary Condition on Nonsmooth Domains

Dorina Mitrea , Marius Mitrea , Sylvie Monniaux
Communications on Pure and Applied Mathematics, 2008, 7 (6), pp.1295-1333. ⟨10.3934/cpaa.2008.7.1295⟩
Article dans une revue hal-00535692v1
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On existence and uniqueness for non-autonomous parabolic Cauchy problems with rough coefficients

Pascal Auscher , Sylvie Monniaux , Pierre Portal
Annali della Scuola Normale Superiore di Pisa, 2019, 19 (5), pp.387-471
Article dans une revue hal-01228914v2
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Singular integral operators on tent spaces

Pascal Auscher , Christoph Kriegler , Sylvie Monniaux , Pierre Portal
Journal of Evolution Equations, 2012, 12 (4), pp.741-765
Article dans une revue hal-00653244v2
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Stokes Problems in Irregular Domains with Various Boundary Conditions

Sylvie Monniaux , Zongwei Shen
Yoshikazu Giga, Antonin Novotny Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 59, Springer, pp.1-42, 2016, 978-3-319-10151-4. ⟨10.1007/978-3-319-10151-4_4-1⟩
Chapitre d'ouvrage hal-01481981v1
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L p −BOUNDS FOR THE RIESZ TRANSFORMS ASSOCIATED WITH THE HODGE LAPLACIAN IN LIPSCHITZ SUBDOMAINS OF RIEMANNIAN MANIFOLDS

Steve Hofmann , Marius Mitrea , Sylvie Monniaux
Annales de l'Institut Fourier, 2011, 61 (4), pp.1323-1349
Article dans une revue hal-01285349v1
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Traces of non regular vector fields on Lipschitz domains

Sylvie Monniaux
Operator semigroups meet complex analysis, harmonic analysis and mathematical physics, Jun 2013, Herrnhut, Germany. 250, Birkhaüser, pp.343-351, 2015, Operator Theory Advances and Applications
Proceedings/Recueil des communications hal-00943142v1
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On the analyticity of the semigroups generated by the Hodge-Laplacian, and by the Stokes and Maxwell operators on Lipschitz subdomains of Riemannian manifolds

Marius Mitrea , Sylvie Monniaux
Transactions of the American Mathematical Society, 2009, 361 (6), pp.3125-3157
Article dans une revue hal-00535701v1
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Heat-kernels and maximal Lp − Lq−estimates: the non-autonomous case

Matthias Hieber , Sylvie Monniaux
Journal of Fourier Analysis and Applications, 2000, 6 (5), pp.467-482
Article dans une revue hal-00535645v1
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A three line proof for traces of H1 functions on special Lipschitz domains

Sylvie Monniaux
Ulmer Seminare, 2014, pp.355-356
Article dans une revue hal-00984231v1
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The regularity of the Stokes operator and the Fujita–Kato approach to the Navier–Stokes initial value problem in Lipschitz domains

Marius Mitrea , Sylvie Monniaux
Journal of Functional Analysis, 2008, 254 (6), pp.1522-1574. ⟨10.1016/j.jfa.2007.11.021⟩
Article dans une revue hal-00535666v1
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Existence in critical spaces for the magnetohydrodynamical system in 3D bounded Lipschitz domains

Sylvie Monniaux
Journal of Elliptic and Parabolic Equations, 2021, 7 (2), pp.311-322. ⟨10.1007/s41808-021-00115-y⟩
Article dans une revue hal-03158650v1
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Le système de Navier-Stokes avec force de Coriolis dans un demi-espace à bord rugueux

Sylvie Monniaux
EDP Normandie, Oct 2013, Caen, France. pp.75-86
Communication dans un congrès hal-01285372v1
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Well-posedness results for the Navier-Stokes equations in the rotational framework

Matthias Hieber , Sylvie Monniaux
Discrete and Continuous Dynamical Systems - Series A, 2013, 33 (11-12), pp.5143-5151. ⟨10.3934/dcds.2013.33.5143⟩
Article dans une revue hal-01285328v1

Groupoid metrization theory

Dorina Mitrea , Irina Mitrea , Marius Mitrea , Sylvie Monniaux
Birkhaüser, pp.XII, 479, 2013, Applied and numerical harmonic analysis, John J. Benedetto, 978-0-8176-8396-2. ⟨10.1007/978-0-8176-8397-9⟩
Ouvrages hal-01285362v1
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Navier-Stokes equations in arbitrary domains: the Fujita-Kato scheme

Sylvie Monniaux
Mathematical Research Letters, 2006, 13 (3), pp.455-461
Article dans une revue hal-00535671v1
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The incompressible Navier-Stokes system with time-dependent Robin-type boundary conditions

Sylvie Monniaux , El Maati Ouhabaz
Journal of Mathematical Fluid Mechanics, 2015, 17, pp.707-722
Article dans une revue hal-01006358v1
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MAXIMAL REGULARITY AS A TOOL FOR PARTIAL DIFFERENTIAL EQUATIONS

Sylvie Monniaux
2023
Pré-publication, Document de travail hal-04283279v1
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Various boundary conditions for Navier-Stokes equations in bounded Lipschitz domains

Sylvie Monniaux
Discrete and Continuous Dynamical Systems - Series S, 2013, 6 (5), pp.1355-1369
Article dans une revue hal-00651390v1
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The Stokes operator with Neumann boundary conditions in Lipschitz domains

Marius Mitrea , Sylvie Monniaux , Matthew Wright
Journal of Mathematical Sciences, 2011, 176 (3), pp.409-457. ⟨10.1007/s10958-011-0400-0⟩
Article dans une revue hal-01285354v1
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Maximal regularity for non-autonomous Robin boundary conditions

Wolfgang Arendt , Sylvie Monniaux
Mathematical News / Mathematische Nachrichten, 2016, 283 (11-12), pp.1325-1340
Article dans une revue hal-01073811v2