Publications

The list in MathSciNet.

1. Groupoid metrization theory. With applications to analysis on quasi-metric spaces and functional analysis. Applied and Numerical Harmonic Analysis. Birkhäuser/Springer, New York, 2013.
2. Stokes problems in irregular domains with various boundary conditions. With Zhongwei Shen, chapter of Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 2018. 2018handbook.pdf

1. 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); version HAL.
2. 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. 2019scm.pdf
3. 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. 2018rmi.pdf
4. Maximal regularity for non-autonomous Robin boundary conditions. With Wolfgang Arendt, Math. Nachr. (2016) 283(11-12):1325–1340. 2015maxregrobin.pdf
5. The Navier-Stokes system with time-dependent Robin-type boundary conditions. Avec El Maati Ouhabaz, J. Math. Fluid Mech.(2015) 17:707–722. 2015jmfm.pdf
6. Well-posedness results for the Navier-Stokes equations in the rotational framework. Avec Matthias Hieber, Discrete Contin. Syn. Syst. (2013) 33:5143–5151. 2013dcdssera.pdf
7. Various boundary conditions for Navier-Stokes equations in bounded Lipschitz domains, Discrete Cont. Dyn. Syst. Ser. S (2013) 6:1355–1369. 2013dcdssers.pdf
8. Singular integral operators in tent spaces. Avec Pascal Auscher, Christoph Kriegler et Pierre Portal, Journal of Evol. Eq. (2012) 4:741–765. 2012jevoleq.pdf
9. The maximal regularity operator on tent spaces. Avec Pascal Auscher et Pierre Portal, Comm. Pure Appl. Anal. (2012) 11:2213–2219. 2012aims.pdf
10. The Stokes operator with Neumann boundary conditions in Lipschitz domains. Avec Marius Mitrea, et Matthew Wright, Journal of Mathematical Sciences (New York), (2011) 176:409–457. 2011jms.pdf
11. L^p-bounds for the Riesz transform associated to the Hodge-Laplacian in Lipschitz domains. Avec Steve Hofmann et Marius Mitrea, Annales de l'Institut Fourier, (2011) 61:1323–1349. 2011anninstfou.pdf
12. Maximal regularity for the Lamé system in certain classes of non-smooth domains. Avec Marius Mitrea, Journal of Evolution Equations, (2010) 10:811–833. 2010jevoleq.pdf
13. The nonlinear Hodge-Navier-Stokes equations in Lipschitz domains. Avec Marius Mitrea, Journal of Differential and Integral Equations (2009) 22:339–356. 2009die.pdf
14. On the analyticity of the semigroup generated by the Stokes operator with Neumann type boundary conditions on Lipschitz subdomains of Riemannian manifolds. Avec Marius Mitrea, Transactions of the American Mathematical Society (2009) 361:3125–3157. 2009tams.pdf
15. The Poisson Problem for the Exterior Derivative Operator with Dirichlet Boundary Condition on Nonsmooth Domains. Avec Dorina Mitrea et Marius Mitrea, Communications on Pure and Applied Analysis (2008) 7:1295–1333. 2008cpaa.pdf
16. The regularity of the Stokes operator and the Fujita-Kato approach to the Navier-Stokes initial value problem in Lipschitz domains. Avec Marius Mitrea, Journal of Functional Analysis (2008) 254:1522–1574. 2008jfa.pdf
17. Navier-Stokes equations in arbitrary domains : the Fujita-Kato scheme. Mathematical Research Letters (2006) 13:455–461. 2006mrl.pdf
18. Unicité dans L^d des solutions du système de Navier-Stokes : cas des domaines lipschitziens. Annales Mathématiques Blaise Pascal (2003) 10:107–116. 2003annbp.pdf
19. On uniqueness for the Navier-Stokes system in 3D-bounded Lipschitz domains. Journal of Functional Analysis, (2002) 195:1–11. 2002jfa.pdf
20. Pseudo-differential operators and maximal regularity results for non-autonomous parabolic equations. Avec Matthias Hieber, Proceedings of the American Mathematical Society, (2000) 128:1047–1053. 2000pams.pdf
21. Heat kernels and maximal L^p-L^q-estimates : the non-autonomous case. Avec Matthias Hieber, Journal of Fourier analysis and applications, (2000) 6:467–481. 2000jfouaa.pdf
22. Semigroup methods to solve non-autonomous evolution equations. Avec Abdelaziz Rhandi, Semigroup Forum (2000) 60:122–134. 2000semigf.pdf
23. A new approach to the Dore-Venni theorem. Mathematische Nachrichten (1999) 204:163–183. 1999mathnachr.pdf
24. A perturbation result for bounded imaginary powers. Archiv der Mathematik (1997) 68:407-417. 1997archmath.pdf
25. A theorem of the Dore-Venni type for non-commuting operators. Avec Jan Prüss, Transactions of the American Mathematical Society (1997) 349:4787-4814. 1997tams.pdf

1. Uniqueness of mild solutions of the Navier-Stokes equation and maximal L^p-regularity. Comptes Rendus de l'Académie des Sciences, Paris, Série 1 (1999) 328:663-668. 1999cras328_8_.pdf
2. Noyaux de la chaleur et estimations mixtes L^p-L^q optimales : le cas non autonome. Avec Matthias Hieber, Comptes Rendus de l'Académie des Sciences, Paris, Série 1 (1999) 328:233-238. 1999cras328_3_.pdf

1. 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). 2016isaac.pdf
2. 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). 2014herrnhut.pdf
3. 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. 2010intmathser.pdf
4. Maximal regularity and applications to PDEs. In Analytical and numerical aspects of partial differential equations, Notes of a lecture series W. de Gruyter (2009) 247–287. 2009berlinlecture.pdf
5. Domain perturbation for the first eigenvalue of the Dirichlet Schrödinger operator. Avec Wolfgang Arendt, Operator Theory: Advances and Applications (1995) 78:9-19. 1995opthadvappl.pdf

1. Convergence of eigenvalues. With Tom ter Elst, Ulmer Seminare (2016) 20:1–1. 2016ulmersem.pdf
2. A three line proof for traces of H1 functions on special Lipschitz domains. Ulmer Seminare 2014. 2014ulmerseminare.pdf
3. Le système de Navier-Stokes avec force de Coriolis dans un demi-espace à bord rugueux. Proceedings de la Conférence EDP-Normandie 2013. 2013edpnorm.pdf
4. On the Navier-Stokes equations in unbounded domains. Ulmer Seminare 2012. 2012ulmersem.pdf
5. Régularité maximale et équations de Navier-Stokes. Habilitation à diriger des recherches, Université Paul Cézanne, 2007. habilitation.pdf (Defense talk, in french: exphdr.pdf)
6. Générateur analytique et régularité maximale. Thèse, Université de Franche-Comté, Besançon, 1995. these.pdf
7. Formes de Dirichlet perturbées par des mesures. Mémoire de DEA, Université de Franche-Comté, Besançon, 1993.

Nothing for the moment