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19952026
most citedInverse Problem for a Curved Quantum Guide

1k citations

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Showing 2012 · math.APShow all

20 papers · 2 filters

math.AP2012★ 1 cited

The logarithmic delay of KPP fronts in a periodic medium

Francois Hamel, James Nolen, Jean-Michel Roquejoffre +1

We consider solutions of the KPP-type equations with a periodically varying reaction rate, and compactly supported initial data. It has been shown by M. Bramson in the case of the…

math.AP2012

Rarefaction pulses for the Nonlinear Schrodinger Equation in the transonic limit

David Chiron, Mihai Maris

We investigate the properties of finite energy travelling waves to the nonlinear Schrodinger equation with nonzero conditions at infinity for a wide class of nonlinearities. In spa…

math.AP2012★ 3 cited

Propagation in Fisher-KPP type equations with fractional diffusion in periodic media

Xavier Cabre, Anne-Charline Coulon, Jean-Michel Roquejoffre

We are interested in the time asymptotic location of the level sets of solutions to Fisher-KPP reaction-diffusion equations with fractional diffusion in periodic media. We show tha…

math.AP2012★ 10 cited

Blow up for the critical gKdV equation III: exotic regimes

Yvan Martel, Frank Merle, Pierre Raphael

We consider the blow up problem in the energy space for the critical (gKdV) equation in the continuation of part I and part II. We know from part I that the unique and stable blow…

math.AP2012

Global existence of solutions to a parabolic-elliptic chemotaxis system with critical degenerate di ffusion

Elissar Nasreddine

This paper is devoted to the analysis of non-negative solutions for a degenerate parabolic-elliptic Patlak-Keller-Segel system with critical nonlinear diffusion in a bounded domain…

math.AP2012★ 7 cited

Convergence to Scattering States in the Nonlinear Schrödinger Equation

Pascal Bégout

In this paper, we consider global solutions of the following nonlinear Schrödinger equation in with $(α\in(0,\infty…