1 citations · 1 across the 6 of their papers we have counts for
6 papers
Local well-posedness for the KdV equation on the half-line at the critical regularity
Márcio Cavalcante
We prove local well-posedness for the initial-boundary-value problem for the Korteweg--de Vries equation on the right half-line at the critical regularity , with initial an…
The Kawahara equation on star graphs
Márcio Cavalcante, Chulkwang Kwak, José Marques
In this paper, we establish local well-posedness for the Cauchy problem associated with the Kawahara equation on a general metric star graph. Initially, we identify suitable bounda…
On the Propagation of Regularity of Solutions to the KdV Equation on the positive Half-line
Márcio Cavalcante, Aílton C. Nascimento
We study special regularity properties of solutions to the initial-boundary value problem associated with the Korteweg-de Vries equations posed on the positive half-line. In partic…
The Korteweg-de Vries Equation on general star graphs
Márcio Cavalcante, José Marques
In this paper, we establish local well-posedness for the Cauchy problem associated with the Korteweg-de Vries (KdV) equation on a general metric star graph. The graph comprises m +…
Dynamics of the Korteweg-de Vries equation on a balanced metric graph
Jaime Angulo Pava, Márcio Cavalcante
In this work, we establish local well-posedness for the Korteweg-de Vries model on a balanced star graph with a structure represented by semi-infinite edges, by considering a bound…
The initial-boundary value problem for Schrödinger-Korteweg-de Vries system on the half-line
Adán J. Corcho, Márcio Cavalcante
We prove local well-posedness for the initial-boundary value problem (IBVP) associated to the Schrödinger-Korteweg de Vries system on right and left half-lines. The results are obt…