[belletti]

Giovanni Bellettini

Full Professor, Dipartimento di Matematica, Univ. Roma "Tor Vergata" and INFN, Laboratori Nazionali di Frascati

Email: belletti AT mat.uniroma2.it

Available papers (61):

• G. Bellettini - A. Chambolle - M. Goldman (Submitted Paper)
  The Gamma-limit for singularly perturbed functionals of Perona-Malik type in arbitrary dimension (2013)
• S. Amato - G. Bellettini - M. Paolini (Submitted Paper)
  The nonlinear multidomain model: a new formal asymptotic analysis (2013)
• G. Bellettini - L. Bertini - M. Mariani - M. Novaga (Accepted Paper: SIAM J. on Math. Anal.)
  Convergence of the one-dimensional Cahn-Hilliard Equation (2012)
• G. Bellettini - M. Paolini - F. Pasquarelli (Submitted Paper)
  Nonconvex mean curvature flow as a formal singular limit of the nonlinear bidomain model (2012)
• G. Bellettini - C. Geldhauser - M. Novaga (Submitted Paper)
  Convergence of a semidiscrete scheme for a forward-backward parabolic equation (2012)
• G. Bellettini - M. Novaga - G. Orlandi (Submitted Paper: Indiana Univ. Math. J.)
  Lorentzian varifolds and applications to closed relativistic strings (2011)
• G. Bellettini - M. Novaga - G. Orlandi (Physica D)
  Time-like lorentzian minimal submanifolds as singular limits of nonlinear wave equations (2010)
• G. Bellettini - J. Hoppe - M. Novaga - G. Orlandi (Complex Analysis and Operator Theory)
  Closure and convexity properties of closed relativistic strings (2010)
• G. Bellettini - V. Beorchia - M. Paolini (Submitted Paper)
  Completeness of Reidemeister-type moves for surfaces embedded in three-dimensional space (2009)
• G. Bellettini - M. Paolini (Submitted Paper)
  On the area of the graph of a singular map from the plane to the plane taking three values (2009)
• G. Bellettini - F. Caselli - M. Mariani (Accepted Paper: J. Functional Anal.)
  Quasi-potentials of the entropy functionals for scalar conservation laws (2009)
• G. Bellettini - M. Novaga (Submitted Paper)
  Curvature evolution of nonconvex lens-shaped domains (2009)
• G. Bellettini - L. Mugnai (Submitted Paper)
  Approximation of the Helfrich's functional via Diffuse Interfaces (2009)
• G. Bellettini - M. Novaga - M. Paolini (Submitted Paper)
  Convergence for long-times of a semidiscrete Perona-Malik equation in one dimension (2008)
• G. Bellettini - F. Caselli - M. Mariani (Submitted Paper)
  Some applications of the least squares method to differential equations and related problems (2008)
• G. Bellettini - V. Beorchia - M. Paolini (Submitted Paper)
  Completion of visible contours (2008)
• G. Bellettini - V. Beorchia - M. Paolini (Submitted Paper)
  An explicit formula for a Bennequin-type invariant for apparent contours (2007)
• G. Bellettini - M. Masala - M. Novaga (Accepted Paper: J. Convex Anal.)
  A conjecture of De Giorgi on the squared distance function (2007)
• G. Bellettini - C. Mantegazza - M. Novaga (J. Diff. Geom.)
  Singular Perturbations of Mean Curvature Flow (2007)
• G. Bellettini - V. Caselles - A. Chambolle - M. Novaga (Submitted Paper)
  The volume preserving crystalline mean curvature flow of convex sets in $\mathbf R^N$ (2007)
• G. Bellettini - M. Chermisi - M. Novaga (Comm. Partial Differential Equations)
  The level set method for systems of PDEs (2007)
• G. Bellettini - L. Bertini - M. Mariani - M. Novaga (Submitted Paper)
  $\Gamma$-entropy cost for scalar conservation laws (2007)
• G. Bellettini - L. Mugnai (Accepted Paper: J. Convex Anal.)
  A varifolds representation of the relaxed elastica functional (2007)
• G. Bellettini - M. Novaga - M. Paolini - C. Tornese (Submitted Paper)
  Classification of the equilibria for the semi-discrete Perona-Malik equation (2007)
• G. Bellettini - M. Novaga - M. Paolini - C. Tornese (Submitted Paper)
  Convergence of discrete schemes for the Perona-Malik equation (2006)
• G. Bellettini - A. De Masi - N. Dirr - E. Presutti (Accepted Paper: Comm. Math. Phys.)
  Tunnelling in two dimensions (2006)
• G. Bellettini - V. Beorchia - M. Paolini (Submitted Paper)
  Topological and variational properties of a model for the reconstruction of three-dimensional transparent images with self-occlusions (2006)
• G. Bellettini - M. Chermisi - M. Novaga (Interfaces Free Bound.)
  Crystalline curvature flow of planar networks (2006)
• G. Bellettini - G. Fusco - N. Guglielmi (Accepted Paper: Discrete Cont. Dyn. Syst.)
  A concept of solution for forward-backward equations of the form $u_t = \frac{1}{2}(p'(u_x))_x$ and numerical experiments for the singular perturbation $u_t = - \eps^2 u_{xxxx} + \frac{1}{2} (\phi'(u_x))_x$ (2006)
• G. Bellettini - L. Mugnai (Preprint)
  Remarks on the variational nature of the heat equation and of mean curvature flow (2006)
• G. Bellettini - M. S. Gelli - S. Luckhaus - M. Novaga (Accepted Paper: Calc. Var. Partial Differential Equations)
  Deterministic equivalent for the Allen-Cahn energy of a scaling law in the Ising model (2005)
• G. Bellettini - V. Caselles - M. Novaga (SIAM J. Math. Anal.)
  Explicit solutions of the eigenvalue problem $- {\rm div} \left( Du/ \vert Du \vert \right) = u$ (2005)
• G. Bellettini - V. Caselles - A. Chambolle - M. Novaga (Accepted Paper: Arch. Rational Mech. Anal.)
  Crystalline mean curvature flow of convex sets (2005)
• G. Bellettini - L. Mugnai (Calc. Var. Partial Differential Equations)
  On the approximation of the elastica functional in radial symmetry (2005)
• G. Bellettini - M. Novaga - E. Paolini (SIAM J. on Math. Anal.)
  Global solutions to the gradient flow equation of a nonconvex functional (2005)
• G. Bellettini - A. De Masi - E. Presutti (J. Nonlin. Math. Phys.)
  Tunnelling in nonlocal evolution equations (2005)
• G. Bellettini - B. Dacorogna - G. Fusco - F. Leonetti (Accepted Paper: Adv. Math. Sci. Appl.)
  Qualitative properties of Lipschitz solutions of eikonal type systems (2005)
• G. Bellettini - A. De Masi - E. Presutti (Accepted Paper: J. Math. Phys.)
  Energy levels of critical points of a nonlocal functional (2004)
• G. Bellettini - G. Fusco (Submitted Paper)
  The Gamma limit and the related gradient flow for singular perturbation funtionals of Perona-Malik type (2004)
• G. Bellettini - L. Mugnai (Ann. Inst. H. Poincare`, Anal. Non Lin.)
  Characterization and representation of the lower semicontinuous envelope of the elastica functional (2004)
• G. Bellettini - R. March (Math. Mod. Meth. Appl. Sci.)
  An image segmentation variational model with free discontinuities and contour curvature (2004)
• G. Bellettini - G. Fusco - G. F. Gronchi (Comm. Pure Appl. Anal.)
  Regularization of the two-body problem via smoothing the potential (2003)
• G. Bellettini - G. Fusco (Asymp. Anal.)
  Stable dynamics of spikes in solutions to a system of reaction-diffusion equations, II (2003)
• G. Bellettini - M. Novaga - G. Riey (Interfaces Free Bound. )
  First variation of anisotropic energies and crystalline mean curvature for partitions (2003)
• G. Bellettini - G. Fusco (EQUADIFF 2003 Proceedings of the International Conference on Differential Equations Hasselt, Belgium 22 - 26 July 2003 Freddy Dumortier, Henk Broer, Jean Mawhin, Andre Vanderbauwhede and Sjoerd Verduyn Lunel eds.,)
  A regularized Perona-Malik functional: some aspects of the gradient dynamics (2003)
• G. Bellettini - G. F. Gronchi (Rend. Atti Acc. Naz. Sci. XL Mem. Mat.)
  Barriers for systems of ordinary differential equations: an application to the two-body problem (2002)
• G. Bellettini - V. Caselles - M. Novaga (J. Differential Equations)
  The Total Variation Flow in $R^N$ (2002)
• G. Bellettini - G. Fusco (Asymp. Anal.)
  Stable dynamics of spikes in solutions to a system of reaction-diffusion equations (2001)
• G. Bellettini - M. Novaga - M. Paolini (Arch. Rational Mech. Anal.)
  On a crystalline variational problem, part II: $BV$-regularity and structure of minimizers on facets (2001)
• G. Bellettini (Proc. of the 3th. European Conference on Math., Barcellona 2000)
  Some aspects of motion by mean curvature in presence of nonsmooth anisotropies (2001)
• G. Bellettini - M. Novaga - M. Paolini (Arch. Rational Mech. Anal.)
  On a crystalline variational problem, part I: first variation and global $L^\infty$ regularity (2001)
• G. Bellettini - M. Novaga - M. Paolini (Interfaces and Free Boundaries)
  Characterization of facet--breaking for nonsmooth mean curvature flow in the convex case (2001)
• G. Bellettini - P. Butta' - E. Presutti (Arch. Rational Mech. Anal.)
  Sharp interface limits of non local anisotropic interactions (2001)
• G. Bellettini - G. Bouchitté - I. Fragalà (J. Convex Anal.)
  BV Functions with Respect to a Measure and Relaxation of Metric Integral Functionals (2000)
• G. Bellettini - I. Fragalà (Asymptotic Anal.)
  Elliptic Approximations to Prescribed Mean Curvature Surfaces in Finsler Geometry (2000)
• G. Bellettini - M. Novaga - M. Paolini (Interfaces and Free Boundaries)
  Facet--breaking for three--dimensional crystals evolving by mean curvature (1999)
• G. Bellettini - M. Novaga
  Minimal Barriers for Geometric Evolutions (1997)
• G. Bellettini - M. Novaga
  Barriers for a Class of Geometric Evolutions Problems (1996)
• G. Bellettini
  Alcuni Risultati sulle Minime Barriere per Movimenti Geometrici di Insiemi (1996)
• G. Bellettini - M. Novaga
  Comparison Results between Minimal Barriers and Viscosity Solutions for Geometric Evolutions (1996)
• G. Bellettini - G. Fusco
  Some Aspects of the Dynamic of $V=H-\bar H$ (1996)

Seminars:

• 16 mar 2006: Remarks on the variational nature of heat equation and motion by mean curvature