===== Autres équations aux dérivées partielles / Other partial differential equations / Kevatalennoù all ===== * [[members:lemarie:publications:| Tous les articles / All the papers / An holl pennadoù]] * [[members:lemarie:welcome:| Pierre Gilles Lemarié-Rieusset : home page]] ==== Autres équations aux dérivées partielles / Other partial differential equations / Kevatalennoù all ==== * 2018 * MR3734981 Lemarié-Rieusset, Pierre Gilles : // Sobolev multipliers, maximal functions and parabolic equations with a quadratic nonlinearity.// ** J. Funct. Anal.** 274 (2018), no. 3, 659–694. [[https://www.sciencedirect.com/science/article/pii/S002212361730438X|Science Direct : restricted access]] ( [[http://www.maths.univ-evry.fr/prepubli/387.pdf|Preprint (version of 2013)]] [[https://hal.archives-ouvertes.fr/hal-01628946|Preprint (version of 2016)]]) * 2016 * MR3520809 Lazar, Omar; Lemarié-Rieusset, Pierre Gilles : // Infinite energy solutions for a 1D transport equation with nonlocal velocity.// ** Dyn. Partial Differ. Equ.** 13 (2016), no. 2, 107–131. (unrevised preprint : [[https://hal.archives-ouvertes.fr/hal-01159627|hal]]) * 2013 * MR3129022 Lemarié-Rieusset, Pierre Gilles : //Small data in an optimal Banach space for the parabolic-parabolic and parabolic-elliptic Keller-Segel equations in the whole space//. **Adv. Differential Equations** 18 (2013), no. 11-12, 1189–1208. [[https://projecteuclid.org/euclid.ade/1378327383| Euclid : restricted access]] (unrevised preprint : [[http://www.maths.univ-evry.fr/prepubli/371.pdf]]) * 2012 * MR2990136 Chamorro, Diego; Lemarié-Rieusset, Pierre Gilles : // Quasi-geostrophic equations, nonlinear Bernstein inequalities and $\alpha$-stable processes. // ** Rev. Mat. Iberoam.** 28 (2012), no. 4, 1109–1122. [[http://www.ems-ph.org/journals/show_abstract.php?issn=0213-2230&vol=28&iss=4&rank=10|EMS: restricted access]] (preprint : [[http://www.maths.univ-evry.fr/prepubli/310.pdf]]) * MR2909904 Lemarié-Rieusset, Pierre Gilles : // Euler equations and real harmonic analysis.// ** Arch. Ration. Mech. Anal.** 204 (2012), no. 2, 355–386. [[http://link.springer.com/article/10.1007/s00205-012-0504-9|Springer : restricted access]] (unrevised preprint : {{members:lemarie:publications:euler_rha_arma.pdf}}) * 2005 * MR2181389 Marchand, Fabien; Lemarié-Rieusset, Pierre Gilles // Solutions auto-similaires non radiales pour l'équation quasi-géostrophique dissipative critique.// (French) [Non-radial self-similar solutions for the critical dissipative quasi-geostrophic equation] ** C. R. Math. Acad. Sci. Paris ** 341 (2005), no. 9, 535–538. [[http://www.sciencedirect.com/science/article/pii/S1631073X05003808| Science Direct : restricted access]]