University of Pisa

output

19922026

most citedObservation of Gravitational Waves from a Binary Black Hole Merger

14.2k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2013 · math.APShow all

17 papers · 2 filters

math.AP2013

Regularity of the obstacle problem for the parabolic biharmonic equation

Matteo Novaga, Shinya Okabe

We study the regularity of solutions to the obstacle problem for the parabolic biharmonic equation. We analyze the problem via an implicit time discretization, and we prove some re…

math.AP2013

Removable sets for Lipschitz harmonic functions on Carnot groups

Vasilis Chousionis, Valentino Magnani, Jeremy T. Tyson

Let G be a Carnot group with homogeneous dimension Q larger than 2 and let L be a sub-Laplacian on G. We prove that the critical dimension for removable sets of Lipschitz L-harmoni…

math.AP2013★ 1 cited

Soliton dynamics for the generalized Choquard equation

Claudio Bonanno, Pietro d'Avenia, Marco Ghimenti +1

We investigate the soliton dynamics for a class of nonlinear Schrödinger equations with a non-local nonlinear term. In particular, we consider what we call {\em generalized Choquar…

math.AP2013★ 1 cited

Existence and stability for a non-local isoperimetric model of charged liquid drops

Michael Goldman, Matteo Novaga, Berardo Ruffini

We consider a variational problem related to the shape of charged liquid drops at equilibrium. We show that this problem never admits global minimizers with respect to $L^{1}$ pertur…

math.AP2013★ 5 cited

Front propagation in geometric and phase field models of stratified media

A. Cesaroni, C. B. Muratov, M. Novaga

We study front propagation problems for forced mean curvature flows and their phase field variants that take place in stratified media, i.e., heterogeneous media whose characterist…

math.AP2013

Optimal decay estimates for the general solution to a class of semi-linear dissipative hyperbolic equations

Marina Ghisi, Massimo Gobbino, Alain Haraux

We consider a class of semi-linear dissipative hyperbolic equations in which the operator associated to the linear part has a nontrivial kernel. Under appropriate assumptions on th…

math.AP2013★ 2 cited

Monotonicity formulas for obstacle problems with Lipschitz coefficients

Matteo Focardi, Maria Stella Gelli, Emanuele Spadaro

We prove quasi-monotonicity formulas for classical obstacle-type problems with energies being the sum of a quadratic form with Lipschitz coefficients, and a Hölder continuous linea…

math.AP2013★ 1 cited

Convergence to equilibrium of gradient flows defined on planar curves

Matteo Novaga, Shinya Okabe

We consider the evolution of open planar curves by the steepest descent flow of a geometric functional, under different boundary conditions. We prove that, if any set of stationary…

math.AP2013

Symmetry results for nonlinear elliptic operators with unbounded drift

Alberto Farina, Matteo Novaga, Andrea Pinamonti

We prove the one-dimensional symmetry of solutions to elliptic equations of the form $-\dive(e^{G(x)}a(|\nabla u|)\nabla u)=f(u) e^{G(x)}$, under suitable energy conditions. Our re…

math.AP2013

Uniqueness for continuity equations in Hilbert spaces with weakly differentiable drift

Giuseppe Da Prato, Franco Flandoli, Michael Röckner

We prove uniqueness for continuity equations in Hilbert spaces $H$ . The corresponding drift $F$ is assumed to be in a first order Sobolev space with respect to some Gaussian measur…

math.AP2013★ 7 cited

A well-posedness result for hyperbolic operators with Zygmund coefficients

Ferruccio Colombini, Daniele Del Santo, Francesco Fanelli +1

In this paper we prove an energy estimate with no loss of derivatives for a strictly hyperbolic operator with Zygmund continuous second order coefficients both in time and in space…

math.AP2013★ 14 cited

Time-dependent loss of derivatives for hyperbolic operators with non regular coefficients

Ferruccio Colombini, Daniele Del Santo, Francesco Fanelli +1

In this paper we will study the Cauchy problem for strictly hyperbolic operators with low regularity coefficients in any space dimension $N \geq 1$ . We will suppose the coefficients…

math.AP2013

Optimal Potentials For Schrodinger Operators

Giuseppe Buttazzo, Augusto Gerolin, Berardo Ruffini +1

We consider the Schrodinger operator a given domain. Our goal is to study some optimization problems where an optimal (non-negative) potential V has to be determined in some suitab…

math.AP2013

Non degeneracy of critical points of the Robin function with respect to deformations of the domain

Anna Maria Micheletti, Angela Pistoia

We show a result of genericity for non degenerate critical points of the Robin function with respect to deformations of the domain

math.AP2013

Nondegeneracy of critical points of the mean curvature of the boundary for Riemannian manifolds

Marco Ghimenti, Anna Maria Micheletti

Let $M$ be a compact smooth Riemannian manifold of finite dimension $n + 1$ with boundary $\partial M$ and $\partial M$ is a compact $n$ -dimensional submanifold of $M$ . We show that f…

math.AP2013★ 23 cited

Multi-solitary waves for the nonlinear Klein-Gordon equation

Jacopo Bellazzini, Marco Ghimenti, Stefan Le Coz

We consider the nonlinear Klein-Gordon equation in $R^{d}$ . We call multi-solitary waves a solution behaving at large time as a sum of boosted standing waves. Our main result is the…

math.AP2013★ 1 cited

Motion by curvature of planar networks II

Annibale Magni, Carlo Mantegazza, Matteo Novaga

We prove that the curvature flow of an embedded planar network of three curves connected through a triple junction, with fixed endpoints on the boundary of a given strictly convex…