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19982026
most citedCOVID-19 identification in chest X-ray images on flat and hierarchical classification scenarios

534 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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21 papers · 1 filter

math.AP2021★ 5 cited

On the Stability of Solitary Wave Solutions for a Generalized Fractional Benjamin-Bona-Mahony Equation

Goksu Oruc, Fábio Natali, Handan Borluk +1

In this paper we establish a rigorous spectral stability analysis for solitary waves associated to a generalized fractional Benjamin-Bona-Mahony type equation. Besides the well kno…

math.AP2021★ 3 cited

Well-posedness and stability for Schrödinger equations with infinite memory

Marcelo Cavalcanti, Valeria Domingos Cavalcanti, Aissa Guesmia +1

We study in this paper the well-posedness and stability for two linear Schrödinger equations in -dimensional open bounded domain under Dirichlet boundary conditions with an infi…

math.AP2020

Generalized ZK Equation posed on a Half-Strip

Nikolai Larkin

An initial-boundary value problem for the generalized 2D Zakharov-Kuznetsov equation posed on the right half-strip is considered. Existence, uniqueness and the exponential decay ra…

math.AP2020

Critical 2D Zakharov-Kuznetsov equation posed on a half-strip

Nikolai Larkin

An initial-boundary value problem for the critical generalized 2D Zakharov-Kuznetsov equation posed on a half-strip is considered. Existence, uniqueness and the exponential decay r…

math.AP2020

Existence and orbital stability of standing waves for the 1D Schrödinger-Kirchhoff equation

Fábio Natali, Eleomar Cardoso

In this paper we establish the orbital stability of standing wave solutions associated to the one-dimensional Schrödinger-Kirchhoff equation. The presence of a mixed term gives us…

math.AP2020

Control and exponential stability for a transmission problem of a viscoelastic wave equation

Remi Buffe, Marcelo Cavalcanti, Valéria Domingos Cavalcanti +1

In this article, we consider the energy decay of a viscoelastic wave in an heterogeneous medium. To be more specific, the medium is composed of two different homogeneous medium wit…

math.AP2019

A comment about the paper On the instability of elliptic traveling wave solutions of the modified Camassa-Holm equation

Fábio Natali, Renan H. Martins

We discuss the recent paper by A. Darós and L.K. Arruda (On the instability of elliptic traveling wave solutions of the modified Camassa-Holm equation, J. Diff. Equat., 266 (2019),…

math.AP2019★ 7 cited

Exponentially slow motion of interface layers for the one-dimensional Allen-Cahn equation with nonlinear phase-dependent diffusivity

Raffaele Folino, César Hernández Melo, Luis López Ríos +1

This paper considers a one-dimensional generalized Allen-Cahn equation of the form \[ u_t = \varepsilon^2 (D(u)u_x)_x - f(u), \] where is constant, is a po…

math.AP2019★ 26 cited

New variational characterization of periodic waves in the fractional Korteweg-de Vries equation

Fabio Natali, Uyen Le, Dmitry E. Pelinovsky

Periodic waves in the fractional Korteweg-de Vries equation have been previously characterized as constrained minimizers of energy subject to fixed momentum and mass. Here we chara…

math.AP2019

On the Stability of Periodic Traveling Waves for the Modified Kawahara Equation

Gisele Detomazi Almeida, Fabrício Cristófani, Fábio Natali

In this paper, we present the first result concerning the orbital stability of periodic traveling waves for the modified Kawahara equation. Our method is based on the Fourier expan…

math.AP2019★ 3 cited

Orbital stability of standing waves for the nonlinear Schrödinger equation with attractive delta potential and double power repulsive nonlinearity

Jaime Angulo Pava, César A. Hernández Melo, Ramón G. Plaza

In this paper, a nonlinear Schrödinger equation with an attractive (focusing) delta potential and a repulsive (defocusing) double power nonlinearity in one spatial dimension is con…

math.AP2017★ 11 cited

To one problem of Saut-Temam for the 3D Zakharov-Kuznetsov equation

Nikolai Larkin, Marcos Padilha

An initial-boundary value problem for the 3D Zakharov-Kuznetsov equation posed on an unbounded domain is considered. Existence and uniqueness of a global regular solution as well a…

math.AP2016★ 19 cited

Global hypoellipticity for a class of pseudo-differential operators on the torus

Fernando de Ávila Silva, Rafael Borro Gonzalez, Alexandre Kirilov +1

We show that an obstruction of number-theoretical nature appears as a necessary condition for the global hypoellipticity of the pseudo-differential operator …

math.AP2015

Stability properties of periodic traveling waves for the Intermediate Long Wave Equation

Jaime Angulo, Eleomar Cardoso, Fabio Natali

In this paper, we determine orbital and linear stability of periodic waves with the mean zero property related to the Intermediate Long Wave equation. Our arguments follow the rece…

math.AP2014★ 8 cited

Global regular solutions for the 3D Zakharov-Kuznetsov equation posed on a bounded domain

Nikolai Larkin

An initial-boundary value problem for the 3D Zakharov-Kuznetsov equation posed on bounded domains is considered. Existence and uniqueness of a global regular solution as well as ex…

math.AP2014

Orbital Stability of Periodic Waves for the Log-KdV Equation

Fábio Natali, Ademir Pastor, Fabrício Cristófani

In this paper we establish the orbital stability of periodic waves related to the logarithmic Korteweg-de Vries equation. Our motivation is inspired in the recent work \cite{carles…

math.AP2014★ 3 cited

The 2D Zakharov-Kuznetsov-Burgers equation on a strip

Nikolai Larkin

An initial-boundary value problem for the 2D Zakharov-Kuznetsov-Burgers equation posed on a channel-type strip was considered. The existence and uniqueness results for regular and…

math.AP2013★ 4 cited

Exponential decay for the linear Zakharov-Kuznetsov equation without critical domains restrictions

Gleb G. Doronin, Nikolai A. Larkin

Initial-boundary value problems for the linear Zakharov-Kuznetsov equation posed on bounded rectangles are considered. Spectral properties of a stationary operator are studied in o…

math.AP2012★ 5 cited

Stabilization of regular solutions for the Zakharov-Kuznetsov equation posed on bounded rectangles and on a strip

G. G. Doronin, N. A. Larkin

Initial-boundary value problems for the 2D Zakharov-Kuznetsov equation posed on bounded rectangles and on a strip are considered. Spectral properties of a linearized operator and c…

math.AP2008

Asymptotic stability of the wave equation on compact surfaces and locally distributed damping - A sharp result

M. M. Cavalcanti, V. N. Domingos Cavalcanti, R. Fukuoka +1

This paper is concerned with the study of the wave equation on compact surfaces and locally distributed damping. We study the case where the damping is effective in a well-chosen s…

math.AP2007

A note on the stability for Kawahara-KdV type equations

F. Natali

In this paper we establish the nonlinear stability of solitary traveling-wave solutions for the Kawahara-KdV equation and the modified Kawahar…