Publications related to On long time behavior of solutions to nonlinear dispersive equations

Stochastic partial differential equations driven by Lévy white noises

We study various aspects of stochastic partial differential equations driven by Lévy white noise. This driving noise, which is a generalization of Gaussian white noise, can be viewed either as a generalized random process or as an independently scattered r ...

EPFL2017

Observation of an alternative chi(c0)(2P) candidate in e(+)e(-)-> J/psi D(D)over-bar

Olivier Schneider, Mingkui Wang, Chao Wang, Sun Hee Kim, Tara Nanut, Jun Yong Kim, Ji Hyun Kim, Donghyun Kim, Dipanwita Dutta

We perform a full amplitude analysis of the process e(+)e(-)-> J/psi D (D) over bar, where D refers to either D-0 or D+. A new charmoniumlike state X*(3860) that decays to D (D) over bar is observed with a significance of 6.5 sigma. Its mass is (3862(-32)( ...

Amer Physical Soc2017

On Hardy and Caffarelli-Kohn-Nirenberg inequalities

Hoài-Minh Nguyên

We establish improved versions of the Hardy and Caffarelli-Kohn-Nirenberg inequalities by replacing the standard Dirichlet energy with some nonlocal nonconvex functionals which have been involved in estimates for the topological degree of continuous maps f ...

HEBREW UNIV MAGNES PRESS2017

Existence of solutions to a non-variational singular elliptic system with unbounded weights

Linda Maria De Cave

In this paper we prove an existence result for the following singular elliptic system {z > 0 in Omega, z is an element of W-0(iota,p)(Omega) : -Delta(p)z = a(x)z(q-iota)u(theta) , u > 0 in Omega, u is an element of W-0(iota,p)(Omega) : -Delta(p)u = b(x)z(q ...

Wiley-V C H Verlag Gmbh2017

Spatial fringe analysis techniques for multiple phase and phase derivative estimation

Rishikesh Dilip Kulkarni

Analysis of fringe patterns for the accurate estimation of phase and phase derivatives is of crucial importance in optical interferometry as these quantities provide important information on the physical parameters under study. A wide range of applications ...

EPFL2016

A posteriori error estimations for elliptic partial differential equations with small uncertainties

Fabio Nobile, Marco Picasso, Diane Sylvie Guignard

In this article, a finite element error analysis is performed on a class of linear and nonlinear elliptic problems with small uncertain input. Using a perturbation approach, the exact (random) solution is expanded up to a certain order with respect to a pa ...

2016

Isogeometric Analysis for second order Partial Differential Equations on surfaces

Alfio Quarteroni, Luca Dede'

We consider the numerical solution of second order Partial Differential Equations (PDEs) on lower dimensional manifolds, specifically on surfaces in three dimensional spaces. For the spatial approximation, we consider Isogeometric Analysis which facilitate ...

Elsevier2015

MATHICSE Technical Report : Multi-index stochastic collocation convergence rates for random PDEs with parametric regularity

Fabio Nobile, Lorenzo Tamellini

We analyze the recent Multi-index Stochastic Collocation (MISC) method for computing statistics of the solution of a partial differential equation with random data, where the random coefficient is parametrized by means of a countable sequence of terms in a ...

MATHICSE2015

Codimension one stability of the catenoid under the vanishing mean curvature flow in Minkowski space

Joachim Krieger, Roland Donninger, Willie Wai Yeung Wong

We study time-like hypersurfaces with vanishing mean curvature in the (3+1) dimensional Minkowski space, which are the hyperbolic counterparts to minimal embeddings of Riemannian manifolds. The catenoid is a stationary solution of the associated Cauchy pro ...

Duke Univ Press2015

Optimal polynomial blow up range for critical wave maps

Joachim Krieger, Can Gao

We prove that the critical Wave Maps equation with target

S^2

and origin

\R^{2+1}

admits energy class blow up solutions of the form

u(t, r) = Q(\lambda(t)r) + \eps(t, r)

where

Q:\R^2\rightarrow S^2

is the ground state harmonic map and $\lambd ...

2015

On long time behavior of solutions to nonlinear dispersive equations

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Stochastic partial differential equations driven by Lévy white noises

Observation of an alternative chi(c0)(2P) candidate in e(+)e(-)-> J/psi D(D)over-bar

On Hardy and Caffarelli-Kohn-Nirenberg inequalities

Existence of solutions to a non-variational singular elliptic system with unbounded weights

Spatial fringe analysis techniques for multiple phase and phase derivative estimation

A posteriori error estimations for elliptic partial differential equations with small uncertainties

Isogeometric Analysis for second order Partial Differential Equations on surfaces

MATHICSE Technical Report : Multi-index stochastic collocation convergence rates for random PDEs with parametric regularity

Codimension one stability of the catenoid under the vanishing mean curvature flow in Minkowski space

Optimal polynomial blow up range for critical wave maps

Stochastic partial differential equations driven by Lévy white noises

MATHICSE Technical Report : Multi-index stochastic collocation convergence rates for random PDEs with parametric regularity

On Hardy and Caffarelli-Kohn-Nirenberg inequalities

Existence of solutions to a non-variational singular elliptic system with unbounded weights

A posteriori error estimations for elliptic partial differential equations with small uncertainties

Isogeometric Analysis for second order Partial Differential Equations on surfaces

Codimension one stability of the catenoid under the vanishing mean curvature flow in Minkowski space

Spatial fringe analysis techniques for multiple phase and phase derivative estimation

Optimal polynomial blow up range for critical wave maps

Observation of an alternative chi(c0)(2P) candidate in e(+)e(-)-> J/psi D(D)over-bar