Piste : • publications

Publications

Ceci est une ancienne révision du document !

<html>

Version <form action=“/~monniaux/doku.php” id=“translation__dropdown”><img src=“/~monniaux/lib/plugins/translation/flags/en.gif” alt=“en” height=“11” class=“wikilink1” /> <select name=“id” class=“wikilink1”><option class=“wikilink1 cur flag” title=“English” value=“en:publications” selected=“selected” style=“background-image: url('/~monniaux/lib/plugins/translation/flags/en.gif')”>en</option><option class=“wikilink1 flag” title=“Français” value=“publications” style=“background-image: url('/~monniaux/lib/plugins/translation/flags/fr.gif')”>fr</option></select><input name=“go” type=“submit” value=“&rarr;” /></form>

</html>

The list in MathSciNet.

Book

Groupoid metrization theory. With applications to analysis on quasi-metric spaces and functional analysis. Applied and Numerical Harmonic Analysis. Birkhäuser/Springer, New York, 2013.

International Journals

  1. 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
  2. Various boundary conditions for Navier-Stokes equations in bounded Lipschitz domains, Discrete Cont. Dyn. Syst. Ser. S (2013) 6:1355–1369. 2013dcdssers.pdf
  3. Singular integral operators in tent spaces. Avec Pascal Auscher, Christoph Kriegler et Pierre Portal, Journal of Evol. Eq. (2012) 4:741–765. 2012jevoleq.pdf
  4. The maximal regularity operator on tent spaces. Avec Pascal Auscher et Pierre Portal, Comm. Pure Appl. Anal. (2012) 11:2213–2219. 2012aims.pdf
  5. 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
  6. Lp-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
  7. 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
  8. The nonlinear Hodge-Navier-Stokes equations in Lipschitz domains. Avec Marius Mitrea, Journal of Differential and Integral Equations (2009) 22:339–356. 2009die.pdf
  9. 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
  10. 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
  11. 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
  12. Navier-Stokes equations in arbitrary domains : the Fujita-Kato scheme. Mathematical Research Letters (2006) 13:455–461. 2006mrl.pdf
  13. Unicité dans Ld des solutions du système de Navier-Stokes : cas des domaines lipschitziens. Annales Mathématiques Blaise Pascal (2003) 10:107–116. 2003annbp.pdf
  14. On uniqueness for the Navier-Stokes system in 3D-bounded Lipschitz domains. Journal of Functional Analysis, (2002) 195:1–11. 2002jfa.pdf
  15. 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
  16. Heat kernels and maximal Lp-Lq-estimates : the non-autonomous case. Avec Matthias Hieber, Journal of Fourier analysis and applications, (2000) 6:467–481. 2000jfouaa.pdf
  17. Semigroup methods to solve non-autonomous evolution equations. Avec Abdelaziz Rhandi, Semigroup Forum (2000) 60:122–134. 2000semigf.pdf
  18. A new approach to the Dore-Venni theorem. Mathematische Nachrichten (1999) 204:163–183. 1999mathnachr.pdf
  19. A perturbation result for bounded imaginary powers. Archiv der Mathematik (1997) 68:407-417. 1997archmath.pdf
  20. 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

Notes aux Comptes Rendus de l'Académie des Sciences

  1. Uniqueness of mild solutions of the Navier-Stokes equation and maximal Lp-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 Lp-Lq 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

Proceedings

  1. 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
  2. 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
  3. 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

Research reports

  1. 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
  2. On the Navier-Stokes equations in unbounded domains, Ulmer Seminare 2012. 2012ulmersem.pdf
  3. Régularité maximale et équations de Navier-Stokes. Habilitation à diriger des recherches, Université Paul Cézanne, 2007. habilitation.pdf (L'exposé de soutenance : exphdr.pdf)
  4. Générateur analytique et régularité maximale. Thèse, Université de Franche-Comté, Besançon, 1995. these.pdf
  5. Formes de Dirichlet perturbées par des mesures. Mémoire de DEA, Université de Franche-Comté, Besançon, 1993.

Preprints

  1. Traces of non regular vector fields in Lipschitz domains, accepted for publication in the Proceedings of the conference held in Herrnhut, 2014. 2014traces.pdf