Publication

Stability of standing waves for a nonlinear Klein-Gordon equation with delta potentials

Related publications (39)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Application aux équations aux dérivées partielles d'une méthode par point fixe et le problème des deux puits

Sébastien Basterrechea

This thesis consists of two parts. The first part is about a variant of Banach's fixed point theorem and its applications to several partial differential equations (PDE's), abstractly of the form [ \mathcal Lu + \mathcal Q(u) = f.] The main result of thi ...

EPFL2015

Electroacoustic absorption: towards room equalization in the low-frequency range

Hervé Lissek

The occurrence of standing waves in room dramatically affects the sound rendering in the low-frequency range ([20-200 Hz]), and solutions of the state-of-the-art are incapable to damp such modes over the whole low-frequency band. This talk will present a n ...

2015

For the radial energy-supercritical nonlinear wave equation

\Box u = -u_{tt} + \triangle u = \pm u^7

\R^{3+1}

, we prove the existence of a class of global in forward time

C^\infty

-smooth solutions with infinite critical Sobolev norm $\dot{H}^{\f ...

Springer Verlag2014

Odd linking and bifurcation in gaps: the weakly indefinite case

In this paper, we consider nonlinear Schrodinger equations of the following type: -Delta u(x) + V (x) u(x) -q(x)|u(x)|sigma u(x) =lambda u(x), x is an element of R-N, u is an element of H-1(R-N) \ {0}, where N >= 2 and sigma > 0. We concentrate on situatio ...

Royal Society of Edinburgh Scotland Foundation, Cambridge2013

FE heterogeneous multiscale method for long time wave propagation

Assyr Abdulle

A new finite element heterogeneous multiscale method (FE-HMM) is proposed for the numerical solution of the wave equation over long times in a rapidly varying medium. Our FE-HMM captures long-time dispersive effects of the true solution at a cost similar t ...

Elsevier France-Editions Scientifiques Medicales Elsevier2013

Global Solutions to a Non-Local Diffusion Equation with Quadratic Non-Linearity

Joachim Krieger

In this paper we prove the global in time well-posedness of the following non-local diffusion equation with

\alpha\, \varepsilon [0, 2/3)

\partial_tu=\{(-\Delta)^{-1}u\}\Delta u+\alpha u^2, \,\, u(t=0)=u_0

. The initial condition

u_0

is positive, rad ...

2012

The recent development of a novel research burner at EPFL has opened the way for experimental investigations of essentially unstretched planar diffusion flames. In particular, it has become feasible to experimentally validate theoretical models for thermal ...

Elsevier2012

We present a rigorous functional analytic setting to study the radial wave equation in similarity coordinates. As an application we analyze linear stability of the fundamental self-similar solution of the wave equation with a focusing power nonlinearity. T ...

American Institute of Physics2010

Different methods are presently available for the analysis of wave propagation across jointed rock masses with the consideration of multiple wave reflections between joints. These methods can be divided into two categories. One is based on the displacement ...

Springer Verlag2010

Demosaicking by Alternating Projections: Theory and Fast One-Step Implementation

Martin Vetterli, Yue Lu, Mina Karzand

Color image demosaicking is a key process in the digital imaging pipeline. In this paper, we study a well-known and influential demosaicking algorithm based on alternating projections (AP), proposed by Gunturk, Altunbasak and Mersereau in 2002. Since its p ...

Institute of Electrical and Electronics Engineers2010