2 citations · 3 across the 5 of their papers we have counts for
5 papers
A short ODE proof of the Fundamental Theorem of Algebra
Ramona Anton, Nicolae Mihalache, François Vigneron
We propose a short proof of the Fundamental Theorem of Algebra based on the ODE that describes the Newton flow and the fact that the value is a Lyapunov function. It clari…
Fast Evaluation of Real and Complex Polynomials
Ramona Anton, Nicolae Mihalache, François Vigneron
We propose an algorithm for quickly evaluating polynomials. It pre-conditions a complex polynomial of degree in time , with a low multiplicative constant indepe…
Global existence for defocusing cubic NLS and Gross-Pitaevskii equations in three dimensional exterior domains
Ramona Anton
We prove global wellposedness in the energy space of the defocusing cubic nonlinear Schroedinger and Gross-Pitaevskii equations on the exterior of a non-trapping domain in dimensio…
Cubic nonlinear Schrodinger equation on three dimensional balls with radial data
Ramona Anton
We prove wellposedness of the Cauchy problem for the cubic nonlinear Schrodinger equation with Dirichlet boundary conditions and radial data on 3D balls. The main argument is based…
Strichartz Inequalities for Lipschitz Metrics on Manifolds and Nonlinear Schrodinger Equation on Domains
Ramona Anton
We prove wellposedness of the Cauchy problem for the nonlinear Schrodinger equation for any defocusing power nonlinearity on a domain of the plane with Dirichlet boundary condition…