Zobrazeno 1 - 10
of 135
pro vyhledávání: '"Cavalcante, Marcio A A"'
Autor:
Pava, Jaime Angulo, Cavalcante, Márcio
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 boundary condition of $\delta$-type at the {unique} graph-vertex. Also, we
Externí odkaz:
http://arxiv.org/abs/2402.01561
In this paper we study the stability problem for mKdV breathers on the left half-line. We are able to show that leftwards moving breathers, initially located far away from the origin, are strongly stable for the problem posed on the left half-line, w
Externí odkaz:
http://arxiv.org/abs/2206.02898
Publikováno v:
Evolution Equations & Control Theory (EECT) 2023
In this work we are concerned with solutions to the linear Schr\"odinger type system with mixed dispersion, the so-called biharmonic Schr\"odinger equation. Precisely, we are able to prove an exact control property for these solutions with the contro
Externí odkaz:
http://arxiv.org/abs/2109.13878
In this work we study the initial boundary value problem associated with the coupled Schr\"odinger equations {with quadratic nonlinearities, that appears in nonlinear optics}, on the half-line. We obtain local well-posedness for data {in Sobolev spac
Externí odkaz:
http://arxiv.org/abs/2104.05137
Autor:
Pava, Jaime Angulo, Cavalcante, Márcio
The aim of this work is to establish a linear instability criterium of stationary solutions for the Korteweg-de Vries model on a star graph with a structure represented by a finite collections of semi-infinite edges. By considering a boundary conditi
Externí odkaz:
http://arxiv.org/abs/2006.12571
Autor:
Cavalcante, Márcio, Huaroto, Gerardo
We study the cubic nonlinear fractional Schr\"odinger equation with L\'evy indices $\frac{4}{3}<\alpha< 2$ posed on the half-line. More precisely, we define the notion of a solution for this model and we obtain a result of local-well-posedness almost
Externí odkaz:
http://arxiv.org/abs/1911.08307
Publikováno v:
Discrete & Continuous Dynamical Systems - B (2022)
In a recent article \textit{"Lower regularity solutions of the biharmonic Schr\"odinger equation in a quarter plane", to appear on Pacific Journal of Mathematics [15]}, the authors gave a starting point of the study on a series of problems concerning
Externí odkaz:
http://arxiv.org/abs/1909.06812
Publikováno v:
Pacific J. Math. 309 (2020) 35-70
This paper deals with the initial-boundary value problem of the biharmonic cubic nonlinear Schr\"odinger equation in a quarter plane with inhomogeneous Dirichlet-Neumann boundary data. We prove local well-posedness in the low regularity Sobolev space
Externí odkaz:
http://arxiv.org/abs/1812.11079
Publikováno v:
In Materials Today Communications March 2023 34
