3 papers
math.AP2025
Improvement of the Parabolic Regularization Method and Applications to Dispersive Models
Alysson Cunha
We prove that the Benjamin Ono equation is globally well-posed in for . Our approach does not rely on the global gauge transformation introduced by Tao (…
math.AP2025
On the decay of solutions for the negative fractional KdV equation
Alysson Cunha, Oscar Riaño, Ademir Pastor
We explore the limits of fractional dispersive effects and their incidence in the propagation of polynomial weights. More precisely, we consider the fractional KdV equation when a…
math.AP2024
The generalized fractional KdV equation in weighted Sobolev spaces
Alysson Cunha, Oscar Riaño
This work concerns the study of persistence property in polynomial weighted spaces for solutions of the generalized fractional KdV equation in any spatial dimension . By e…