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en:publications [2014/11/10 00:12] msp10a14en:publications [2019/06/04 11:23] (Version actuelle) – modification externe 127.0.0.1
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-====Book==== +====Books and book chapters==== 
-[[http://www.springer.com/birkhauser/mathematics/book/978-0-8176-8396-2|Groupoid metrization theory]]. With applications to analysis on quasi-metric spaces and functional analysis. Applied and Numerical Harmonic Analysis. Birkhäuser/Springer, New York, 2013.+ 
 +  - [[http://www.springer.com/birkhauser/mathematics/book/978-0-8176-8396-2|Groupoid metrization theory]]. With applications to analysis on quasi-metric spaces and functional analysis. Applied and Numerical Harmonic Analysis. Birkhäuser/Springer, New York, 2013. 
 +  - Stokes problems in irregular domains with various boundary conditions. With Zhongwei Shen, chapter of [[http://www.springer.com/fr/book/9783319133430|Handbook of Mathematical Analysis in Mechanics of Viscous Fluids]], 2018. {{publis:2018Handbook.pdf}}
  
  
 ====International Journals==== ====International Journals====
  
 +  - On existence and uniqueness for non-autonomous parabolic Cauchy problems with rough coefficients. With Pascal Auscher and Pierre Portal, to appear in Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (2019); [[https://hal.archives-ouvertes.fr/hal-01228914|version HAL]].
 +  - Behaviour of the Stokes operator under domain perturbation, to appear in the special volume of Science China Mathematics (2019) in honour of Jean-Yves Chemin. {{publis:2019SCM.pdf}}
 +  - Hodge-Dirac, Hodge-Laplacian and Hodge-Stokes operators in Lp spaces on Lipschitz domains. With Alan McIntosh, Rev. Mat. Iberoam. 34 (2018), no. 4, 1711–1753. {{publis:2018RMI.pdf}}
 +  - Maximal regularity for non-autonomous Robin boundary conditions. With Wolfgang Arendt, Math. Nachr. (2016) 283(11-12):1325–1340. {{publis:2015maxregrobin.pdf}}
 +  - The Navier-Stokes system with time-dependent Robin-type boundary conditions. Avec El Maati Ouhabaz, J. Math. Fluid Mech.(2015) 17:707--722. {{publis:2015jmfm.pdf}}
   - Well-posedness results for the Navier-Stokes equations in the rotational framework. Avec Matthias Hieber, Discrete Contin. Syn. Syst. (2013) 33:5143--5151. {{publis:2013DCDSserA.pdf}}   - Well-posedness results for the Navier-Stokes equations in the rotational framework. Avec Matthias Hieber, Discrete Contin. Syn. Syst. (2013) 33:5143--5151. {{publis:2013DCDSserA.pdf}}
   - Various boundary conditions for Navier-Stokes equations in bounded Lipschitz domains, Discrete Cont. Dyn. Syst. Ser. S (2013) 6:1355--1369. {{publis:2013DCDSserS.pdf}}   - Various boundary conditions for Navier-Stokes equations in bounded Lipschitz domains, Discrete Cont. Dyn. Syst. Ser. S (2013) 6:1355--1369. {{publis:2013DCDSserS.pdf}}
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   - A perturbation result for bounded imaginary powers. Archiv der Mathematik (1997) 68:407-417. {{publis:1997ArchMath.pdf}}   - A perturbation result for bounded imaginary powers. Archiv der Mathematik (1997) 68:407-417. {{publis:1997ArchMath.pdf}}
   - A theorem of the Dore-Venni type for non-commuting operators. Avec Jan Prüss, Transactions of the American Mathematical Society (1997) 349:4787-4814. {{publis:1997TAMS.pdf}}   - A theorem of the Dore-Venni type for non-commuting operators. Avec Jan Prüss, Transactions of the American Mathematical Society (1997) 349:4787-4814. {{publis:1997TAMS.pdf}}
- 
 ====Notes aux Comptes Rendus de l'Académie des Sciences==== ====Notes aux Comptes Rendus de l'Académie des Sciences====
  
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 ====Proceedings==== ====Proceedings====
  
-  - Traces of non regular vector fields on Lipschitz domains. To appear in the Proceedings of the conference “Operator Semigroups meet Complex Analysis, Harmonic Analysis and Mathematical Physics”, 2014. {{publis:2014Herrnhut.pdf}}+  - First order approach to Lp estimates for the Stokes operator on Lipschitz domains. With Alan McIntosh, Mathematical analysis, Probability and applications - Plenary lectures ISAAC 2015, Macau (China), volume 177 of Proc. Math. & Stat., pages 55–75 (2015). {{publis:2016ISAAC.pdf}} 
 +  - Traces of non regular vector fields on Lipschitz domains. Proceedings of the conference “Operator Semigroups meet Complex Analysis, Harmonic Analysis and Mathematical Physics”, volume 250 of Oper. Theory: Adv. Appl., pages 343-351 (2015). {{publis:2014Herrnhut.pdf}}
   - Weighted Sobolev space estimates for a class of singular integral operators. Avec Dorina Mitrea et Marius Mitrea, Around the Research of Vladimir Maz'ya III, Function Spaces, PDEs, Analysis, and Applications, International Mathematical Series, Vol. 13:179--200. Springer, A. Laptev Ed., T. Rozhkovskaya Publ., 2010. {{publis:2010IntMathSer.pdf}}   - Weighted Sobolev space estimates for a class of singular integral operators. Avec Dorina Mitrea et Marius Mitrea, Around the Research of Vladimir Maz'ya III, Function Spaces, PDEs, Analysis, and Applications, International Mathematical Series, Vol. 13:179--200. Springer, A. Laptev Ed., T. Rozhkovskaya Publ., 2010. {{publis:2010IntMathSer.pdf}}
   - Maximal regularity and applications to PDEs. In [[http://www.degruyter.com/viewbooktoc/product/40206|Analytical and numerical aspects of partial differential equations]], Notes of a lecture series W. de Gruyter (2009) 247--287. {{publis:2009berlinlecture.pdf}}   - Maximal regularity and applications to PDEs. In [[http://www.degruyter.com/viewbooktoc/product/40206|Analytical and numerical aspects of partial differential equations]], Notes of a lecture series W. de Gruyter (2009) 247--287. {{publis:2009berlinlecture.pdf}}
   - Domain perturbation for the first eigenvalue of the Dirichlet Schrödinger operator. Avec Wolfgang Arendt, Operator Theory: Advances and Applications (1995) 78:9-19. {{publis:1995OpThAdvAppl.pdf}}   - Domain perturbation for the first eigenvalue of the Dirichlet Schrödinger operator. Avec Wolfgang Arendt, Operator Theory: Advances and Applications (1995) 78:9-19. {{publis:1995OpThAdvAppl.pdf}}
- 
 ====Research reports==== ====Research reports====
  
 +  - Convergence of eigenvalues. With Tom ter Elst, Ulmer Seminare (2016) 20:1–1. {{publis:2016UlmerSem.pdf}}
   - A three line proof for traces of H1 functions on special Lipschitz domains. Ulmer Seminare 2014. {{publis:2014UlmerSeminare.pdf}}   - A three line proof for traces of H1 functions on special Lipschitz domains. Ulmer Seminare 2014. {{publis:2014UlmerSeminare.pdf}}
   - Le système de Navier-Stokes avec force de Coriolis dans un demi-espace à bord rugueux. Proceedings de la Conférence EDP-Normandie 2013. {{publis:2013EDPNorm.pdf}}   - Le système de Navier-Stokes avec force de Coriolis dans un demi-espace à bord rugueux. Proceedings de la Conférence EDP-Normandie 2013. {{publis:2013EDPNorm.pdf}}
   - On the Navier-Stokes equations in unbounded domains. Ulmer Seminare 2012. {{publis:2012UlmerSem.pdf}}    - On the Navier-Stokes equations in unbounded domains. Ulmer Seminare 2012. {{publis:2012UlmerSem.pdf}} 
-  - Régularité maximale et équations de Navier-Stokes. Habilitation à diriger des recherches, Université Paul Cézanne, 2007. {{publis:habilitation.pdf}} (L'exposé de soutenance : {{publis:exphdr.pdf}})+  - Régularité maximale et équations de Navier-Stokes. Habilitation à diriger des recherches, Université Paul Cézanne, 2007. {{publis:habilitation.pdf}} (Defense talk, in french: {{publis:exphdr.pdf}})
   - Générateur analytique et régularité maximale. Thèse, Université de Franche-Comté, Besançon, 1995. {{publis:these.pdf}}   - Générateur analytique et régularité maximale. Thèse, Université de Franche-Comté, Besançon, 1995. {{publis:these.pdf}}
   - Formes de Dirichlet perturbées par des mesures. Mémoire de DEA, Université de Franche-Comté, Besançon, 1993.   - Formes de Dirichlet perturbées par des mesures. Mémoire de DEA, Université de Franche-Comté, Besançon, 1993.
- 
 ====Preprints==== ====Preprints====
  
-  - Traces of non regular vector fields in Lipschitz domains, accepted for publication in the Proceedings of [[http://www.math.tu-dresden.de/herrnhut2013/|Herrnhut]], 2014. {{publis:2014herrnhut.pdf|}} +Nothing for the moment
-  - The incompressible Navier-Stokes system with time-dependent Robin-type boundary conditions. With El Maati Ouhabaz, 18 pages, ssubmitted (2014). {{publis:2014RNS.pdf}} +
-  - Maximal regularity for non-autonomous Robin boundary conditions. With Wolfgang Arendt, 21 pages, sbmitted (2014). {{publis:2014maxregRobin.pdf}}+