12 citations · 12 across the 3 of their papers we have counts for
3 papers
math.OC2026
Gradient extremals, talwegs, valleys, and directional alignment for generic gradient descent
Pascal Bégout, Jérôme Bolte, Thomas Mariotti +1
Gradient extremals are loci along which the gradient is an eigenvector of the Hessian. These objects provide a natural geometric framework connecting several notions, notably valle…
math.AP2025
Solutions with expanding compact support of saturated Schr{ö}dinger equations: self-similar solutions
Pascal Bégout, Jesus Ildefonso Diaz
We prove the existence of solutions \(u(t,x)\) of the Schr{ö}dinger equation with a saturation nonlinear term \((u/|u|)\) having compact support, for each \(t>0,\) that expands wit…
math.AP2013★ 12 cited
A sharper energy method for the localization of the support to some stationary Schr{ö}dinger equations with a singular nonlinearity
Pascal Bégout, Jesús Ildefonso Díaz
We prove the compactness of the support of the solution of some stationary Schr{ö}dinger equations with a singular nonlinear order term. We present here a sharper version of some e…