output
19922026
most citedObservation of Gravitational Waves from a Binary Black Hole Merger

14.2k citations

Showing 2010 · math.APShow all

12 papers · 2 filters

math.AP2010★ 2 cited

On the Existence of the Fundamental Eigenvalue of an Elliptic Problem in R^N

Jacopo Bellazzini, Vieri Benci, Marco G. Ghimenti +1

We study an eigenvalue problem for functions in R^N and we find sufficient conditions for the existence of the fundamental eigenvalue. This result can be applied to the study of th…

math.AP2010

Semiclassical limit for the nonlinear Klein Gordon equation in bounded domains

Marco G. Ghimenti, Carlo R. Grisanti

We are interested to the existence of standing waves for the nonlinear Klein Gordon equation ε^2{\box}ψ + W'(ψ) = 0 in a bounded domain D. The main result of this paper is that, un…

math.AP2010

Morse Theory for Geodesics in Conical Manifolds

Marco G. Ghimenti

The aim of this paper is to extend the Morse theory for geodesics to the conical manifolds. We define these manifolds as submanifolds of with a finite number of conical sing…

math.AP2010

The 3-D Inviscid Limit Result under Slip Boundary Conditions. A Negative Answer

H. Beirão da Veiga, F. Crispo

We show that, in general, the solutions to the initial-boundary value problem for the Navier-Stokes equations under a widely adopted Navier-type slip boundary condition do not conv…

math.AP2010★ 2 cited

Nonlinear instability of linearly unstable standing waves for nonlinear Schrödinger equations

Vladimir Georgiev, Masahito Ohta

We study the instability of standing waves for nonlinear Schrödinger equations. Under a general assumption on nonlinearity, we prove that linear instability implies orbital instabi…

math.AP2010★ 9 cited

Finite time blow-up for a wave equation with a nonlocal nonlinearity

Ahmad Fino, Mokhtar Kirane, Vladimir Georgiev

In this article, we study the local existence of solutions for a wave equation with a nonlocal in time nonlinearity. Moreover, a blow-up results are proved under some conditions on…

math.AP2010

Symmetry and uniqueness of minimizers of Hartree type equations with external Coulomb potential

Vladimir Georgiev, George Venkov

In the present article we study the radial symmetry of minimizers of the energy functional, corresponding to the repulsive Hartree equation in external Coulomb potential. To overco…

math.AP2010★ 25 cited

Smooth solutions for the dyadic model

David Barbato, Francesco Morandin, Marco Romito

We consider the dyadic model, which is a toy model to test issues of well-posedness and blow-up for the Navier-Stokes and Euler equations. We prove well-posedness of positive solut…

math.AP2010★ 30 cited

On the existence of maximizers for a family of Restriction Theorems

Luca Fanelli, Luis Vega, Nicola Visciglia

We prove the existence of maximizers for a general family of restrictions operators, up to the end-point. We also provide some counterxamples in the end-point case.

math.AP2010★ 23 cited

Kirchhoff equations from quasi-analytic to spectral-gap data

Marina Ghisi, Massimo Gobbino

In a celebrated paper (Tokyo J. Math. 1984) K. Nishihara proved global existence for Kirchhoff equations in a special class of initial data which lies in between analytic functions…

math.AP2010★ 100 cited

Stable standing waves for a class of nonlinear Schroedinger-Poisson equations

Jacopo Bellazzini, Gaetano Siciliano

We prove the existence of orbitally stable standing waves with prescribed -norm for the following Schrödinger-Poisson type equation \label{intro} %{%{ll} iψ_{t}+ Δψ- (|x|^{-1}…

math.AP2010

Local existence and uniqueness in the largest critical space for a surface growth model

Dirk Blomker, Marco Romito

We show the existence and uniqueness of solutions (either local or global for small data) for an equation arising in different aspects of surface growth. Following the work of Koch…