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- Centre National de la Recherche ScientifiqueFR105 papers
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5 papers · 2 filters
On the variation of maximal operators of convolution type II
Emanuel Carneiro, Renan Finder, Mateus Sousa
In this paper we establish that several maximal operators of convolution type, associated to elliptic and parabolic equations, are variation-diminishing. Our study considers maxima…
On the regularity of solutions to a class of nonlinear dispersive equations
Felipe Linares, Gustavo Ponce, Derek L. Smith
We shall study special regularity properties of solutions to some nonlinear dispersive models. The goal is to show how regularity on the initial data is transferred to the solution…
Neumann boundary controllability of the Korteweg-de Vries equation on a bounded domain
Miguel Caicedo, Roberto de A. Capistrano-Filho, Bingyu Zhang
In this paper we study boundary controllability of the Korteweg-de Vries (KdV) equation posed on a finite domain with the Neumann boundary conditions: u_t+u_x+uu_x+u_{xxx}=…
Extremal Domains on Hadamard manifolds
José M. Espinar, Jing Mao
We investigate the geometry and topology of extremal domains in a manifold with negative sectional curvature. An extremal domain is a domain that supports a positive solution to an…
Remarks on the orbital stability of ground state solutions of fKdV and related equations
Felipe Linares, Didier Pilod, Jean-Claude Saut
The aim of this paper is to provide a proof of the (conditional) orbital stability of solitary waves solutions to the fractional Korteweg- de Vries equation (fKdV) and to the fract…