[CvGmt News] CVGMT weekly bulletin

[web at cvgmt.sns.it]

Weekly bulletin of http://cvgmt.sns.it/

--- Summary ---

* Seminars by: Ruffini
* New papers by: Savaré, Nayam, Ambrosio, Mazzieri, Rossi, Buttazzo, Catino, Mantegazza, Marola, Gigli, Granlund, Rocca, Giacomini, Müller, Musesti
* Modified papers by: Ambrosio, Catino, Miranda Jr, Paronetto, Yip, Palatucci, Hurri-Syrjänen, Vähäkangas, Mazzieri, Caffarelli, Mantegazza, Braides, Martinazzi, Giacomini, Figalli, Pisante, Savaré, Kinnunen, Bargellini, Dumouchel, Piatnitski, Francfort, Marigo, Lazzaroni, Gigli, Marola, Jalalzai, Novaga, Solombrino, Caselles

--- Seminars next week ---

* Wednesday 23 may 2012
time: 17:00
Sala Seminari, Department of Mathematics, Pisa University

Shape optimization problems on a graph 
Berardo Ruffini 

Abstract. In this seminar we will  discuss a shape optimization problem of the form
\[
\min\big\{J(\Gamma)\ :\ \Gamma\in\mathcal{A},\ \mathcal{H}^1(\Gamma)=l\ \big\},
\]
where $\mathcal{A}$ is a suitable set of graphs immersed in $\mathbb R^d$ with set of vertices $E(\Gamma)$ containing some prescribed set of points $\mathcal{D}=\{D_1,\dots,D_k\}$, and $J$ depends on $\Gamma$ via some differential operator on $\Gamma$ (for example, the Dirichlet Laplacian). We will analyze the existence of a solution in the class $\mathcal{A}$ and show some techniques useful to obtain explicit examples. Joint work with Giuseppe Buttazzo and Bozhidar Velichkov.

--- New Papers ---

* Buttazzo, Nayam: Stationary Configuration of some Optimal Shaping

* Ambrosio, Gigli, Savaré: Heat flow and calculus on metric measure spaces with Ricci curvature bounded below - the compact case

* Catino, Mantegazza, Mazzieri: A Note on Codazzi Tensors

* Granlund, Marola: Unique continuation for a quasilinear elliptic equation in the plane

* Rocca, Rossi: A degenerating PDE system for phase transitions and damage

* Giacomini, Musesti: Quasi-static evolutions in linear perfect plasticity as a variational limit of finite plasticity: a one-dimensional case

* Mantegazza, Müller: Perelman's Entropy Functional at Type I Singularities of the Ricci Flow

--- Modified Papers ---

* Mantegazza, Martinazzi: A Note on Quasilinear Parabolic Equations on Manifolds

* Braides, Yip: A quantitative description of mesh dependence for the discretization of singularly perturbed non-convex problems

* Catino, Mantegazza, Mazzieri: On the global structure of conformal gradient solitons with nonnegative Ricci tensor

* Kinnunen, Marola, Miranda Jr, Paronetto: Harnack's inequality for parabolic De Giorgi classes in metric spaces

* Palatucci, Pisante: Sobolev embeddings and concentration-compactness alternative 
 for fractional Sobolev spaces

* Braides, Piatnitski: Homogenization of surface and length energies for spin systems

* Caffarelli, Figalli: Regularity of solutions to the parabolic fractional obstacle problem

* Francfort, Giacomini: On periodic homogenization in perfect elasto-plasticity

* Ambrosio, Gigli, Savaré: Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces

* Hurri-Syrjänen, Marola, Vähäkangas: Poincare inequalities in quasihyperbolic boundary condition domains

* Bargellini, Dumouchel, Lazzaroni, Marigo: On the role of kinetic energy during unstable propagation in a heterogeneous peeling test

* Solombrino: Quasistatic evolution in perfect plasticity for generalized multiphase materials.

* Caselles, Jalalzai, Novaga: On the jump set of solutions of the Total Variation flow