Seminar Analysis
Our weekly Seminar in Analysis takes place on
Wednesdays from 3 to 4pm in the "Grosser Hörsaal", with a tea at 4pm in the "Eulerzimmer".
For questions please contact Elizaveta Semenova. For more informations please visit the webpage of the seminar.
Program Spring Term 2012
22.05.2013Analysis seminar: Jeremy Marzuola
Publications
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
Monographs
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Crippa, Gianluca: The flow associated to weakly differentiable vector fields, Roma 2009 (=Theses (Scuola Normale Superiore)). |
Journal Articles
| Crippa, Gianluca: Lagrangian flows and the one-dimensional Peano phenomenon for ODEs, in: J. Differential Equations 250, 2011, H. 7, S. 3135-3149. |
| Crippa, Gianluca; Jimenez, Chloé; Pratelli, Aldo: Optimum and equilibrium in a transport problem with queue penalization effect, in: Adv. Calc. Var. 2, 2009, H. 3, S. 207-246. |
| Ambrosio, Luigi; Crippa, Gianluca; Figalli, Alessio; Spinolo, Laura V.: Some new well-posedness results for continuity and transport equations, and applications to the chromatography system, in: SIAM J. Math. Anal. 41, 2009, H. 5, S. 1890-1920. |
| Crippa, Gianluca; De Lellis, Camillo: Estimates and regularity results for the DiPerna-Lions flow, in: J. Reine Angew. Math. 616, 2008, S. 15-46. |
| Ambrosio, Luigi; Crippa, Gianluca; LeFloch, Philippe G.: Leaf superposition property for integer rectifiable currents, in: Netw. Heterog. Media 3, 2008, H. 1, S. 85-95. |
| Colombini, Ferruccio; Crippa, Gianluca; Rauch, Jeffrey: A note on two-dimensional transport with bounded divergence, in: Comm. Partial Differential Equations 31, 2006, H. 7-9, S. 1109-1115. |
| Bouchut, François; Crippa, Gianluca: Uniqueness, renormalization, and smooth approximations for linear transport equations, in: SIAM J. Math. Anal. 38, 2006, H. 4, S. 1316-1328. |
| Ambrosio, Luigi; Crippa, Gianluca; Maniglia, Stefania: Traces and fine properties of a BD class of vector fields and applications, in: Ann. Fac. Sci. Toulouse Math. (6) 14, 2005, H. 4, S. 527-561. |
Essays in Anthologies
| Ambrosio, Luigi; Crippa, Gianluca: Existence, uniqueness, stability and differentiability properties of the flow associated to weakly differentiable vector fields, in: Ancona, Fabio; Bianchini, Stefano; Colombo, Rinaldo M.; De Lellis, Camillo; Marson, Andrea; Montanari, Annamaria (Hg.): Transport equations and multi-D hyperbolic conservation laws, Berlin 2008, S. 3-57. |
| Crippa, Gianluca; Otto, Felix; Westdickenberg, Michael: Regularizing effect of nonlinearity in multidimensional scalar conservation laws, in: Ancona, Fabio; Bianchini, Stefano; Colombo, Rinaldo M.; De Lellis, Camillo; Marson, Andrea; Montanari, Annamaria (Hg.): Transport equations and multi-D hyperbolic conservation laws, Berlin 2008, S. 77-128. |
Unpublished Talks
| Bohun, Anna: Stability Loss Delay in Dynamical Bifurcations, 2011. (Download) |
Preprints
| Frank, Rupert L. ; Lenzmann, Enno; Silvestre, Luis: Uniqueness of Radial Solutions for the Fractional Laplacian, 2013. (Link) |
| Crippa, Gianluca; Donadello, Carlotta; Spinolo, Laura Valentina: A note on the initial-boundary value problem for continuity equations with rough coefficients, 2013. (Download) |
| Crippa, Gianluca; Lopes Filho, Milton C.; Miot, Evelyne; Nussenzveig Lopes, Helena J.: Flows of vector fields with point singularities and the vortex-wave system, 2013. (Download) |
| Crippa, Gianluca; Donadello, Carlotta; Spinolo, Laura Valentina: Initial-boundary value problems for continuity equations with BV coefficients, 2013. (Download) |
| Crippa, Gianluca: Ordinary Differential Equations and Singular Integrals, 2013. (Download) |
| Alberti, Giovanni; Bianchini, Stefano; Crippa, Gianluca: On the L^p-differentiability of certain classes of functions, 2012, accepted by Revista Matemática Iberoamericana. (Download) |
| Bouchut, Francois; Crippa, Gianluca: Lagrangian flows for vector fields with gradient given by a singular integral, 2012, accepted by Journal of Hyperbolic Differential Equations. (Download) |
| Lenzmann, Enno; Frank, Rupert L.: Uniqueness of ground states for fractional Laplacians in R. To appear in Acta Math., 45 pages, 2012. (Link) |
| Crippa, Gianluca; Lecureux-Mercier, Magali: Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow, 2011, published online by Nonlinear Differential Equations and Applications NoDEA. (Download) |
| Acerbi, Emilio; Crippa, Gianluca; Mucci, Domenico: A variational problem for couples of functions and multifunctions with interaction between leaves, 2011, published online by ESAIM: Control, Optimisation and Calculus of Variations. (Download) |
| Alberti, Giovanni; Bianchini, Stefano; Crippa, Gianluca: A uniqueness result for the continuity equation in two dimensions, 2011, accepted by Journal of the European Mathematical Society (JEMS). (Download) |
| Alberti, Giovanni; Bianchini, Stefano; Crippa, Gianluca: Structure of level sets and Sard-type properties of Lipschitz maps, 2011, accepted by Annali della Scuola Normale Superiore, Classe di Scienze. (Download) |
| Lenzmann, Enno; Staffilani, Gigliola; Kirkpatrick, Kay: On the continuum limit for discrete NLS with long-range lattice interactions, 25 pages, preprint, 2011. (Link) |
| Lenzmann, Enno; Lewin, Mathieu: Minimizers for the Hartree-Fock-Bogoliubov theory of neutron stars and white dwarfs. Duke Math. Journal 152, no. 2, 157-315, 2010. (Link) |