Concept

Existence

Publications associées (59)

Some New Results On Differential Inclusions For Differential Forms

Bernard Dacorogna, Olivier Kneuss, Saugata Bandyopadhyay

In this article we study some necessary and sufficient conditions for the existence of solutions in W-0(1,infinity) (Omega; Lambda(k)) of the differential inclusion d omega is an element of E a.e. in Omega where E subset of Lambda(k+1) is a prescribed set. ...

Amer Mathematical Soc2015

The second order pullback equation

Bernard Dacorogna, Olivier Kneuss, Gyula Csató

Let f, g be two closed k-forms over R-n. The pullback equation studies the existence of a diffeomorphism phi : R-n -> R-n such that phi*(g) = f. We prove two types of results. The first one sharpens some of the existing regularity results. The second one d ...

Springer2014

Tolerating permanent and transient value faults

André Schiper, Martin Hutle, Zarko Milosevic

Transmission faults allow us to reason about permanent and transient value faults in a uniform way. However, all existing solutions to consensus in this model are either in the synchronous system, or require strong conditions for termination, that exclude ...

Springer Verlag2014

A social network analysis of Rousseau’s autobiography “Les Confessions”

Frédéric Kaplan, Yannick Rochat, Cyril Antoine Michel Bornet

We propose an analysis of the social network composed of the characters appearing in Jean-Jacques Rousseau's autobiographic Les Confessions, with existence of edges based on co-occurrences. This work consists of twelve volumes, that span over fifty years o ...

2013

Optimal asymptotic bounds for spherical designs

Maryna Viazovska

In this paper we prove the conjecture of Korevaar and Meyers: for each N≥cdtd, there exists a spherical t-design in the sphere Sd consisting of N points, where cd is a constant depending only on d. ...

2013

Existence of Eulerian Solutions to the Semigeostrophic Equations in Physical Space: The 2-Dimensional Periodic Case

Maria Colombo

In this article we use new regularity and stability estimates for Alexandrov solutions to Monge-Ampere equations, recently established by De Philippis and Figalli [14], to provide global in time existence of distributional solutions to the semigeostrophic ...

2012

Bifurcation Analysis at a Singular Soliton State in Fiber Couplers

Boris Buffoni

The system {-u '' + u = u(3) + lambda v, u(x)= u(-x) is an element of R, x is an element of R, -v '' + v = v(3) + lambda u, v(x) = v(-x) is an element of R, x is an element of R, describes pulses in nonlinear fiber couplers. It has the family (U1+lambda, - ...

Advanced Nonlinear Studies, Inc2012

Invariant generators for generalized distributions

Tudor Ratiu, Madeleine Jotz

2011

The Pullback Equation For Degenerate Forms

Bernard Dacorogna, Olivier Kneuss, Saugata Bandyopadhyay

We discuss the existence of a diffeomorphism phi : R-n -> R-n such that ...

2010

Sentiment analysis of informal textual communication in cyberspace

Daniel Thalmann, Stéphane Gobron

The ability to correctly identify the existence and polarity of emotion in informal, textual communication is a very important part of a realistic and immersive 3D environment where people communicate with one another through avatars or with an automated s ...

2010

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