[CvGmt News] CVGMT: weekly bulletin

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Subject: CVGMT weekly bulletin

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

--- Summary ---

* Seminars by: Novaga
* New papers by: Pock, Mingione, Chambolle, Braides, Moll, Piatnitski, Gong, Novaga, Cremers, Petitta, Okabe, Kuusi, Caselles
* Modified papers by: Giacomelli, Ambrosio, Mantegazza, Bertini, Moll, Piatnitski, Cinti, Pratelli, Palatucci, Choksi, Cesaroni, Mazzieri, Morandotti, Catino, Braides, Bellettini, Maz?n, Veneroni, Cabr?, Valdinoci, Cao, Chen, Dipierro, Negri, Mariani, Passarelli di Napoli, Ghiraldin, Di Castro, Jalalzai, Novaga, Schmidt, Caselles

--- Seminars next week ---

* Wednesday 31 oct 2012
time: 17:00
Sala Seminari, Department of Mathematics, Pisa University

Timelike minimal surfaces
Matteo Novaga (Dip. Mat. Univ. Padova)

Abstract. We consider the class of timelike minimal surfaces in the flat Minkowski space, which admit a $C^1$ parametrization of a specic form. We prove that, if the distinguished parametrization is in fact $C^k$, then the surface is regularly immersed away from a singular set of dimension at most $1+1/k$, and that this bound is sharp. We also show that, generically with respect to a natural topology, if $n=2$ the singular set is one-dimensional, and if $n\ge$ 4 the singular set is empty. For $n=3$ both situations can occurr.

--- New Papers ---

* Gong: Metric currents in the plane

* Gong: Metric derivations on Euclidean and non-Euclidean spaces

* Braides, Piatnitski: Variational problems with percolation: dilute spin systems at zero temperature

* Kuusi, Mingione: Gradient regularity for nonlinear parabolic equations

* Moll, Petitta: Large solutions for the elliptic 1-laplacian with absorption

* Caselles, Chambolle, Novaga: Total variation in imaging

* Novaga, Okabe: Curve shortening-straightening flow for non-closed planar curves with infinite length

* Caselles, Chambolle, Cremers, Novaga, Pock: An introduction to Total Variation for Image Analysis

--- Modified Papers ---

* Cao, Catino, Chen, Mantegazza, Mazzieri: Bach-flat gradient steady Ricci solitons

* Negri: Crack propagation by a Regularization of the Principle of Local Symmetry

* Braides, Piatnitski: Variational problems with percolation: dilute spin systems at zero temperature (the 2-dimensional case)

* Bellettini, Bertini, Mariani, Novaga: Convergence of the one-dimensional Cahn-Hilliard Equation

* Dipierro, Palatucci, Valdinoci: Existence and symmetry results for a Schr?dinger type problem involving the fractional Laplacian

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

* Choksi, Morandotti, Veneroni: Global minimizers for axisymmetric multiphase membranes

* Schmidt: Partial regularity for degenerate variational problems and image restoration models in $\rm BV$

* Di Castro, Palatucci: Fractional regularity for nonlinear elliptic problems with measure data

* Negri: From phase-field to sharp crack: convergence of quasi-static evolutions in a special setting

* Cesaroni, Novaga: Homogenization of mean curvature flow of graphs in periodic media

* Cinti, Pratelli: The $\varepsilon-\varepsilon^\beta$ property, the boundedness of isoperimetric sets in $\mathbb R^N$ with density, and some applications

* Cabr?, Cinti: Sharp energy estimates for nonlinear fractional diffusion equations

* Giacomelli, Maz?n, Moll: The 1-harmonic flow with values into a hyper-octant of the $N$-sphere

* Ambrosio, Ghiraldin: Compactness of special functions of bounded higher variation

* Passarelli di Napoli: Higher differentiability of minimizers of variational integrals with Sobolev coeffcients

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