Analysis

Members

A-Z  


Vorname Nachname Titel Zusatz
Lars Bugiera MSc Doktorand NF
Gennaro Ciampa MSc Doktorand
Gianluca Crippa Prof. Dr.
Azahara De la Torre Pedraza Dr. Wiss. Mitarbeiterin NF
Francesco Ghiraldin Dr. Wiss. Mitarbeiter
Dominik Himmelsbach Dipl.-Math. Doktorand
Yang Lan Dr. Wiss. Mitarbeiter
Enno Lenzmann Prof. Dr.
Silvia Ligabue MSc Doktorandin NF
Renato Lucà Dr. Wiss. Mitarbeiter ERC
Gabriele Mancini Dr. Wiss. Mitarbeiter NF
Luca Martinazzi Prof. Dr. Ass. Professor NF
Cheikh Birahim Ndiaye Dr. Wiss. Mitarbeiter NF
Camilla Nobili Dr. Wiss. Mitarbeiterin
Christian Schulze MSc Doktorand

Analysis Seminar

Our weekly Seminar in Analysis takes place on

Wednesdays from 3:15 to 4:15 pm in room 00.003, Spiegelgasse 1, with a tea in room 06.001, Spiegelgasse 1, afterwards.

For questions please contact Silvia Ligabue. For more information, please visit the webpage of the seminar.

The BZ Seminar in Analysis - Basel, Zurich

Publications

2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017

Suche

 

Monographs

Giaquinta, Mariano; Martinazzi, Luca: An introduction to the regularity theory for elliptic systems, harmonic maps and minimal graphs, Pisa 2012.

edoc
Crippa, Gianluca: The flow associated to weakly differentiable vector fields, 12, Pisa 2009 (=12).

edoc
Giaquinta, Mariano; Martinazzi, Luca: An introduction to the regularity theory for elliptic systems, harmonic maps and minimal graphs, Pisa 2005.

edoc

Journal Articles

Iula, StefanoMaalaoui, AliMartinazzi, Luca: A fractional Moser-Trudinger type inequalitiy in one dimension and its critical points, in: Differential and Integral Equations 29, 2016, H. 5/6, S. 455-492. (Abriss / ) edoc, URL
Maalaoui, Ali; Schikorra, Armin: Blow-up behaviour of a fractional Adams-Moser-Trudinger type inequality in odd dimension, in: Communications Partial Differential Equations 41, 2016, H. 10, S. 1593-1618.
Boulenger, Thomas; Himmelsbach, DominikLenzmann, Enno: Blowup for fractional NLS, in: J. Funct. Anal. 271, 2016, H. 9, S. 2569-2603. URL
Crippa, Gianluca; Lopes Filho, Milton C.; Miot, Evelyne; Nussenzveig Lopes, Helena J.: Flows of vector fields with point singularities and the vortex-wave system, in: Discrete and continuous dynamical systems 36, 2016, H. 5, S. 2405-2417. (Abriss) edoc
Bohun, Anna; Bouchut, Francois; Crippa, Gianluca: Lagrangian flows for vector fields with anisotropic regularity, in: Annales de l'Institut Henri Poincaré (C) Analyse non linéaire 33, 2016, H. 6, S. 1409-1429. (Abriss) edoc
Bohun, Anna; Bouchut, Francois; Crippa, Gianluca: Lagrangian solutions to the 2D Euler system with L1 vorticity and infinite energy, in: Nonlinear analysis 132, 2016, S. 160-172. (Abriss) edoc
Bohun, Anna; Bouchut, François; Crippa, Gianluca: Lagrangian solutions to the Vlasov-Poisson system with L1 density, in: Journal of differential equations 260, 2016, H. 4, S. 3576-3597. (Abriss) edoc
Colombo, Maria; Crippa, Gianluca; Stefano, Spirito: Logarithmic estimates for continuity equations, in: Networks and Heterogeneous Media 11, 2016, H. 2, S. 301-311. (Abriss) edoc (Open Access)
Mancini, Gabriele: Onofri-type inequalities for singular Liouville equations, in: J. Geom. Anal. 26, 2016, H. 2, S. 1202-1230.
Caravenna, Laura; Crippa, Gianluca: Uniqueness and Lagrangianity for solutions with lack of integrability of the continuity equation, in: Comptes rendus mathematique 354, 2016, H. 12, S. 1168-1173. (Abriss) edoc (Open Access)
Frank, Rupert L.; Lenzmann, Enno; Silvestre, Luis: Uniqueness of radial solutions for the fractional Laplacian, in: Comm. Pure Appl. Math. 69, 2016, H. 9, S. 1671-1726. URL
Battaglia, Luca; Mancini, Gabriele: A note on compactness properties of the singular Toda system, in: Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 26, 2015, H. 3, S. 299-307.
Schikorra, Armin; Spector, Daniel; Van Schaftingen, Jean: An L1-type estimate for Riesz potentials, in: Revista Matemática Iberoamericana , 2015, S. 4 pages.
Da Lio, Francesca; Martinazzi, Luca; Riviere, Tristan: Blow-up analysis of a nonlocal Liouville-type equation, in: Analysis & PDE 8, 2015, H. 7, S. 1757-1805. edoc
Martinazzi, LucaHyder, Ali: Conformal metrics on R^{2m} with constant Q-curvature, prescribed volume and asymptotic behavior, in: Discrete and continuous dynamical systems. Series A 35, 2015, H. 1, S. 283-299. edoc
Jin, Tianling; Maalaoui, AliMartinazzi, Luca; Xiong, Jingang: Existence and asymptotics for solutions of a non-local Q-curvature equation in dimension three, in: Calculus of variations and partial differential equations 52, 2015, H. 3-4, S. 469-488. (Abriss) edoc
Crippa, Gianluca; Gusev, Nikolay; Spirito, Stefano: Failure of the chain rule for the divergence of bounded vector fields, in: Annali della Scuola normale superiore di Pisa, Classe di scienze , 2015, S. 16. (Abriss)
Martinazzi, Luca: Fractional Adams-Moser-Trudinger type inequalities, in: Nonlinear Analysis 127, 2015, S. 263-278. (Abriss) edoc
Schikorra, Armin; Shieh, Tien-Tsan; Spector, Daniel: Lp-theory for fractional gradient PDE with VMO coefficients, in: Atti della Accademia nazionale dei Lincei. Classe di scienze fisiche, matematiche e naturali. Rendiconti lincei. Matematica e applicazioni 26, 2015, H. 4, S. 433-443. (Abriss) edoc
Crippa, Gianluca; Gusev, Nikolay; Spirito, Stefano; Wiedemann, Emil: Non-uniqueness and prescribed energy for the continuity equation, in: Communications in mathematical sciences 13, 2015, H. 7, S. 1937-1947. (Abriss) edoc (Open Access)
Schikorra, Armin: Nonlinear commutators for the fractional p-Laplacian and applications, in: Mathematische Annalen , 2015, S. 27. (Abriss)
Crippa, Gianluca; Spirito, Stefano: Renormalized solutions of the 2D Euler equations, in: Communications in mathematical physics 339, 2015, H. 1, S. 191-198. (Abriss) edoc (Open Access)
Colombo, Maria; Crippa, Gianluca; Spirito, Stefano: Renormalized solutions to the continuity equation with an integrable damping term, in: Calculus of variations and partial differential equations 54, 2015, H. 2, S. 1831-1845. (Abriss) edoc (Open Access)
Crippa, GianlucaSemenova, Elizaveta; Spirito, Stefano: Strong continuity for the 2D Euler equations, in: Kinetic and related models 8, 2015, H. 4, S. 685-689. (Abriss) edoc
Alberti, Giovanni; Bianchini, Stefano; Crippa, Gianluca: A uniqueness result for the continuity equation in two dimensions, in: Journal of the European Mathematical Society 16, 2014, H. 2, S. 201-234. (Abriss) edoc (Open Access)
Ambrosio, Luigi; Crippa, Gianluca: Continuity equations and ODE flows with non-smooth velocity, in: Proceedings of the Royal Society of Edinburgh. Section A, Mathematics 144, 2014, H. 6, S. 1191-1244. (Abriss) edoc
Alberti, Giovanni; Crippa, Gianluca; Mazzucato, Anna L.: Exponential self-similar mixing and loss of regularity for continuity equations, in: Comptes rendus mathematique 352, 2014, H. 11, S. 901-906. (Abriss) edoc (Open Access)
Crippa, Gianluca; Donadello, Carlotta; Spinolo, Laura V.: Initial-boundary value problems for continuity equations with BV coefficients, in: Journal de mathématiques pures et appliquées 102, 2014, H. 1, S. 79-98. (Abriss) edoc (Open Access)
Alberti, Giovanni; Bianchini, Stefano; Crippa, Gianluca: On the Lp-differentiability of certain classes of functions, in: Revista matemática Iberoamericana 30, 2014, H. 1, S. 349-367. (Abriss) edoc (Open Access)
Herr, Sebastian; Lenzmann, Enno: The Boson star equation with initial data of low regularity, in: Nonlinear analysis 97, 2014, S. 125-137. (Abriss) edoc
Martinazzi, Luca: Conformal metrics on R^2m with constant Q-curvature and large volume, in: Ann. Inst. Henri Poincaré (C) , 2013, H. 30, S. 969-982.
Lenzmann, Enno; Lewin, Mathieu: Dynamical ionization bounds for atoms, in: Analysis of PDEs 6, 2013, H. 5, S. 1183-1211. (Abriss) edoc
Crippa, Gianluca; Lecureux-Mercier, Magali: Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow, in: NoDEA: nonlinear differential equations and applications 20, 2013, H. 3, S. 523-537. (Abriss) edoc (Open Access)
Bouchut, Francois; Crippa, Gianluca: Lagrangian flows for vector fields with gradient given by a singular integral, in: Journal of hyperbolic differential equations 10, 2013, H. 2, S. 235-282. (Abriss) edoc
Krieger, Joachim; Lenzmann, Enno; Raphael, Pierre: Nondispersive solutions to the L²-critical half-wave equation, in: Archive for rational mechanics and analysis 209, 2013, H. 1, S. 61-129. (Abriss) edoc
Kirkpatrick, Kay; Lenzmann, Enno; Staffilani, Gigliola: On the continuum limit for discrete NLS with long-range lattice interactions, in: Communications in mathematical physics 317, 2013, H. 3, S. 563-591. (Abriss) edoc
Battaglia, Luca; Mancini, Gabriele: Remarks on the Moser-Trudinger inequality, in: Advances in Nonlinear Analysis 2, 2013, H. 4, S. 389-425.
Alberti, Giovanni; Bianchini, Stefano; Crippa, Gianluca: Structure of level sets and Sard-type properties of Lipschitz maps, in: Annali della Scuola Normale di Pisa - Classe di Scienze 12, 2013, H. 4, S. 863-902. (Abriss) edoc (Open Access)
Frank, Rupert L.; Lenzmann, Enno: Uniqueness of non-linear ground states for fractional Laplacians in $BbbR, in: Acta mathematica 210, 2013, H. 2, S. 261-318. (Abriss) edoc
Mantegazza, Carlo; Martinazzi, Luca: A note on quasilinear parabolic equations on manifolds, in: Ann. Scuola Norm. Sup. Pisa. Cl. Sci. (5) , 2012, H. XI, S. 1-18.
Acerbi, Emilio; Crippa, Gianluca; Mucci, Domenico: A variational problem for multifunctions with interaction between leaves, in: ESAIM: Control, Optimisation and Calculus of Variations 18, 2012, H. 4, S. 1178-1206. (Abriss) edoc (Open Access)
Malchiodi, Andrea; Martinazzi, Luca: Critical points of the Moser-Trudinger functional on a disk, in: J. European Mathematical Society , 2012, S. (to appear).
Martinazzi, Luca; Struwe, Michael: Quantization for an elliptic equation of order 2m with critical exponential non-linearity, in: Mathematische Zeitschrift , 2012, H. 270, S. 453-487.
Martinazzi, Luca: A note on n-axially symmetric harmonic maps from B^3 into S^2 minimizing the relaxed energy, in: Journal of functional analysis , 2011, H. 261, S. 3099-3117.
Ambrosio, Luigi; De Philippis, Guido; Martinazzi, Luca: Gamma-convergence of nonlocal perimeter functionals, in: Manuscripta mathematica , 2011, H. 134, S. 377-403.
Crippa, Gianluca: Lagrangian flows and the one-dimensional Peano phenomenon for ODEs, in: J. Differential Equations 250, 2011, H. 7, S. 3135-3149.
Lenzmann, Enno; Lewin, Mathieu: On singularity formation for the $L^2$-critical Boson star equation, in: Nonlinearity 24, 2011, H. 12, S. 3515-3540.
Martinazzi, Luca: Quantization for the prescribed Q-curvature equation on open domains, in: Communications in contemporary mathematics , 2011, H. 13, S. 533-551.
Martinazzi, Luca; Petrache Mircea: Asymptotics and quantization for a mean-field equation of higher order, in: Comm. Partial Differential Equations , 2010, H. 35, S. 1-22.
Martinazzi, Luca; Petrache Mircea: Existence of solutions to a higher dimensional mean-field equation on manifolds, in: Manuscripta mathematica , 2010, H. 133, S. 115-130.
Lenzmann, Enno; Lewin, Mathieu: Minimizers for the Hartree-Fock-Bogoliubov theory of neutron stars and white dwarfs, in: Duke Math. J. 152, 2010, H. 2, S. 257-315.
Hainzl, Christian; Lenzmann, Enno; Lewin, Mathieu; Schlein, Benjamin: On blowup for time-dependent generalized Hartree-Fock equations, in: Ann. Henri Poincar`e 11, 2010, H. 6, S. 1023-1052.
Martinazzi, Luca: A threshold phenomenon for embeddings of H^m_0 into Orlicz spaces, in: Calculus of variations and partial differential equations , 2009, H. 36, S. 493-506.
Martinazzi, Luca: An application of Q-curvature to an embedding of critical type, in: Oberwolfach Reports , 2009, H. 6, S. 1997-2000.
Martinazzi, Luca: Classification of solutions to the higher order Liouville's equation on R^{2m}, in: Mathematische Zeitschrift , 2009, H. 263, S. 307-329.
Martinazzi, Luca: Concentration-compactness phenomena in the higher order Liouville's equation, in: Journal of functional analysis , 2009, H. 256, S. 3743-3771.
Krieger, Joachim; Lenzmann, Enno; Raphaël, Pierre: On stability of pseudo-conformal blowup for $L^2$-critical Hartree NLS, in: Ann. Henri Poincar`e 10, 2009, H. 6, S. 1159-1205.
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.
Lenzmann, Enno: Uniqueness of ground states for pseudorelativistic Hartree equations, in: Anal. PDE 2, 2009, H. 1, S. 1-27.
Martinazzi, Luca: Conformal metrics on R^{2m} with constant Q-curvature, in: Rendiconti Lincei Mat. Appl. , 2008, H. 19, S. 279-292.
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.
Fröhlich, Jürg; Lenzmann, Enno: Blowup for nonlinear wave equations describing boson stars, in: Comm. Pure Appl. Math. 60, 2007, H. 11, S. 1691-1705.
Fröhlich, Jürg; Jonsson, B. Lars G.; Lenzmann, Enno: Boson stars as solitary waves, in: Comm. Math. Phys. 274, 2007, H. 1, S. 1-30.
Fröhlich, Jürg; Lenzmann, Enno: Dynamical collapse of white dwarfs in Hartree- and Hartree-Fock theory, in: Comm. Math. Phys. 274, 2007, H. 3, S. 737-750.
Fröhlich, J.; Jonsson, B. L. G.; Lenzmann, Enno: Effective dynamics for boson stars, in: Nonlinearity 20, 2007, H. 5, S. 1031-1075.
Fröhlich, Jürg; Knowles, Antti; Lenzmann, Enno: Semi-classical dynamics in quantum spin systems, in: Lett. Math. Phys. 82, 2007, H. 2-3, S. 275-296.
Lenzmann, Enno: Well-posedness for semi-relativistic Hartree equations of critical type, in: Math. Phys. Anal. Geom. 10, 2007, H. 1, S. 43-64.
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.
Crippa, Gianluca; De Lellis, Camillo: Oscillatory solutions to transport equations, in: Indiana University Mathematics Journal 55, 2006, H. 1, S. 1-13. (Abriss) edoc (Open Access)
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

Crippa, Gianluca; Donadello, Carlotta; Spinolo, Laura V.: A note on the initial-boundary value problem for continuity equations with rough coefficients, in: Hyperbolic problems: theory, numerics, applications, 8, Padova, Italy 2014 (= 8). (Abriss / ) edoc, URL
Crippa, Gianluca: Ordinary differential equations and singular integrals, in: Hyperbolic problems: theory, numerics, applications, 8, Padova, Italy 2014 (= 8). (Abriss / ) edoc, URL
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.

Internet Publications

Gérard, Patrick; Lenzmann, Enno; Pocovnicu, Oana; Raphael, Pierre: A Two-Soliton with Transient Turbulent Regime for the Cubic Half-wave Equation on The Real Line, 11.16.2016. URL
Boulenger, ThomasLenzmann, Enno: Blowup for Biharmonic NLS, 05.03.2015. URL

Unpublished Talks

Bohun, Anna: Stability Loss Delay in Dynamical Bifurcations, 2011. (Download)

Preprints

Crippa, GianlucaNobili, Camilla; Seis, Christian; Spirito, Stefano: Eulerian and Lagrangian solutions to the continuity and Euler equations with L1 vorticity, 2017. URL
Iula, Stefano: A note on the Moser-Trudinger inequality in Sobolev-Slobodeckij spaces in dimension one, 2016. (Download)
Hyder, Ali: Conformally Euclidean metrics on R^n with arbitrary total Q-curvature, 2016. URL
Alberti, Giovanni; Crippa, Gianluca; Mazzucato, Anna L.: Exponential self-similar mixing by incompressible flows, 2016. (Download)
Iula, StefanoMancini, Gabriele: Extremal functions for singular Moser-Trudinger embeddings, 2016. URL
Hyder, AliIula, StefanoMartinazzi, Luca: Large blow-up sets for the prescribed Q-curvature equation in the Euclidean space, 2016. (Download)
Nobili, Camilla; Otto, Felix: Limitations of the background field method applied to Rayleigh-Bénard convection, 2016. (Download)
Heck, Horst; Pal Choudhury, Anupam: Stability of the inverse boundary value problem for the biharmonic operator: Logarithmic estimates, 2016. URL
Mancini, GabrieleMartinazzi, Luca: The Moser-Trudinger inequality and its extremals on a disk via energy estimates, 2016. URL
Da Lio, Francesca; Martinazzi, Luca: The nonlocal Liouville-type equation in R and conformal immersions of the disk with boundary singularities, 2016. URL
Choffrut, Antoine; Nobili, Camilla; Otto, Felix: A maximal regularity estimate for the non-stationary Stokes equation in the strip In: Journal of differential equations, 2015. URL
Iula, Stefano; Maalaoui, Ali; Martinazzi, Luca: A fractional Moser-Trudinger type inequality in one dimension and its critical points, 2015. URL
Martinazzi, Luca; Riviere, Tristan; Da Lio, Francesca: Blow-up analysis of a nonlocal Liouville-type equation, 2015. (Download)
Maalaoui, Ali; Martinazzi, LucaSchikorra, Armin: Blow-up behaviour of a fractional Adams-Moser-Trudinger type inequality in odd dimension , 2015. URL
Boulenger, ThomasLenzmann, Enno: Blowup for Biharmonic NLS , 2015. URL
Boulenger, ThomasHimmelsbach, DominikLenzmann, Enno: Blowup for fractional NLS, 2015. URL
Hyder, Ali: Existence of entire solutions to a fractional Liouville equation in R^n , 2015. (Download)
Martinazzi, Luca: Fractional Adams-Moser-Trudinger type inequalities, 2015. URL
Hyder, Ali: Moser functions and fractional Moser-Trudinger type inequalities, 2015. URL
Schikorra, Armin: Nonlinear Comutators for the fractional p-Laplacian and applications, 2015. URL
Hyder, Ali: Structure of conformal metrics on R^n with constant Q-curvature, 2015. URL
Hyder, AliMartinazzi, Luca: Conformal Metrics on R2m with Constant Q-Curvature, Prescribed Volume and Asymptotic Behavior, 2014. URL
Choffrut, Antoine; Nobili, Camilla; Otto, Felix: Upper bounds on Nusselt number at finite Prandtl number, 2014. URL
Maalaoui, Ali; Martino, Vittorio: Homology computation for a class of contact structures on T3 and equivariant reductions, To appear in Calculus of variations and PDE. 2013.
Maalaoui, Ali: Prescribing the Q-curvature On the Sphere with Conical singularities. 2013.
Maalaoui, Ali: Rabinowitz-Floer Homology for Super-quadratic Dirac Equations On spin Manifolds, Journal of Fixed Point Theory and Applications March 2013, Volume 13, Issue 1, pp 175-19, 2013. URL
Maalaoui, Ali; Martino, Vittorio: The topology of a subspace of the Legendrian curves in a closed contact 3-manifold, to appear in Advanced nonLinear Studies, 2013.
Frank, Rupert L.; Lenzmann, Enno; Silvestre, Luis: Uniqueness of Radial Solutions for the Fractional Laplacian, 2013. URL
Lenzmann, Enno; Frank, Rupert L.: Uniqueness of ground states for fractional Laplacians in R. To appear in Acta Math. 45 pages, 2012. URL
Lenzmann, Enno; Staffilani, Gigliola; Kirkpatrick, Kay: On the continuum limit for discrete NLS with long-range lattice interactions, 25 pages, preprint, 2011. URL
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. URL

Address

Dept. of Mathematics and Computer Science
Spiegelgasse 1
4051 Basel

 

 

Contact

E-Mail:
info-math@unibas.ch

Secretary
Barbara Fridez         
Phone: +41 (0)61 207 26 90
Fax:     +41 (0)61 207 26 95

Heidi Karypidis        
Phone: +41 (0)61 207 39 90