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- Laboratoire de Mathématiques Blaise PascalFR4 papers
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math.AP2009
Construction and characterization of solutions converging to solitons for supercritical gKdV equations
Vianney Combet
We consider the generalized Korteweg-de Vries equation in the supercritical case, and we are interested in solutions which converge to a soliton in large time in H^1. In the subcri…
math.AP2007★ 5 cited
Stability of two soliton collision for nonintegrable gKdV equations
Yvan Martel, Frank Merle
We continue our study of the collision of two solitons for the subcritical generalized KdV equations. In a previous paper, mainly devoted to the case of the quartic gKdV equation,…
math.AP2007★ 1 cited
Refined asymptotics around solitons for gKdV equations
Yvan Martel, Frank Merle
We consider the generalized Korteweg-de Vries equation with general nonlineari…
math.AP2006
The Kato smoothing effect for Schr{ö}dinger equations with unbounded potentials in exterior domains
Luc Robbiano, Claude Zuily
In this paper we prove the smoothing effect for solutions of Schr{ö}dinger equations with variable coefficients and in a non trapping exterior domain. We allow quadratic potentials…