Márcio Cavalcante

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All published works

Action	Title	Year	Authors
+	Dynamics of the Korteweg–de Vries Equation on a Balanced Metric Graph	2024	Jaime Angulo Pava Márcio Cavalcante
+ PDF Chat	The cubic nonlinear fractional Schrödinger equation on the half-line	2024	Márcio Cavalcante Gerardo Huaroto
+ PDF Chat	Dynamics of the Korteweg-de Vries equation on a balanced metric graph	2024	Jaime Angulo Pava Márcio Cavalcante
+	Asymptotic Stability of KdV Solitons on the Half-Line: A Study in the Energy Space	2023	Márcio Cavalcante Claudio Muñoz
+ PDF Chat	Stability of mKdV breathers on the half-line	2022	Miguel Á. Alejo Márcio Cavalcante Adán J. Corcho
+ PDF Chat	Controllability for Schrödinger type system with mixed dispersion on compact star graphs	2022	Roberto de A. Capistrano‐Filho Márcio Cavalcante Fernando A. Gallego
+ PDF Chat	Forcing operators on star graphs applied for the cubic fourth order Schrödinger equation	2021	Roberto de A. Capistrano–Filho Márcio Cavalcante Fernando A. Gallego
+ PDF Chat	Linear instability criterion for the Korteweg–de Vries equation on metric star graphs	2021	Jaime Angulo Pava Márcio Cavalcante
+	The nonlinear Quadratic Interactions of the Schr\"odinger type on the half-line	2021	Isnaldo Isaac Barbosa Márcio Cavalcante
+ PDF Chat	Lower regularity solutions of the biharmonic Schrödinger equation in a quarter plane	2020	Roberto de A. Capistrano–Filho Márcio Cavalcante Fernando A. Gallego
+ PDF Chat	The initial-boundary value problem for the Kawahara equation on the half-line	2020	Márcio Cavalcante Chulkwang Kwak
+	Well-posedness and lower bounds of the growth of weighted norms for the Schrödinger–Korteweg–de Vries interactions on the half-line	2020	Márcio Cavalcante Adán J. Corcho
+ PDF Chat	Stabilization and Control for the Biharmonic Schrödinger Equation	2019	Roberto de A. Capistrano–Filho Márcio Cavalcante
+ PDF Chat	Initial boundary value problems for some nonlinear dispersive models on the half-line: a review and open problems	2019	Márcio Cavalcante
+ PDF Chat	Stability of KdV solitons on the half-line	2019	Márcio Cavalcante Claudio Muñoz
+ PDF Chat	Local well-posedness of the fifth-order KdV-type equations on the half-line	2019	Márcio Cavalcante Chulkwang Kwak
+	The cubic nonlinear fractional Schrödinger equation on the half-line	2019	Márcio Cavalcante Gerardo Huaroto
+ PDF Chat	The initial-boundary value problem for the Schrödinger–Korteweg–de Vries system on the half-line	2018	Márcio Cavalcante Adán J. Corcho
+	Well-posedness and long time behavior for the Schr\"odinger-Korteweg-de Vries interactions on the half-Line	2018	Márcio Cavalcante Adán J. Corcho
+ PDF Chat	The Korteweg–de Vries equation on a metric star graph	2018	Márcio Cavalcante
+	The initial-boundary value problem for the Kawahara equation on the half-line	2018	Márcio Cavalcante Chulkwang Kwak
+	Local well-posedness of the fifth-order KdV-type equations on the half-line	2018	Márcio Cavalcante Chulkwang Kwak
+	Stability of KdV solitons on the half-line	2017	Márcio Cavalcante Claudio Muñoz
+ PDF Chat	The initial boundary value problem for some quadratic nonlinear Schrödinger equations on the half-line	2017	Márcio Cavalcante
+	The initial boundary value problem for some quadratic nonlinear Schrödinger equations on the half-line	2017	Márcio Cavalcante
+	The initial-boundary value problem for Schr\"odinger-Korteweg-de Vries system on the half-line	2016	Adán J. Corcho Márcio Cavalcante

Common Coauthors

Coauthor	Papers Together
Adán J. Corcho	5
Roberto de A. Capistrano‐Filho	4
Chulkwang Kwak	4
Fernando A. Gallego	3
Claudio Muñoz	3
Jaime Angulo Pava	3
Gerardo Huaroto	2
Miguel Á. Alejo	1
Isnaldo Isaac Barbosa	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	The Initial-Boundary Value Problem for the Korteweg–de Vries Equation	2006	Justin Holmer	19
+ PDF Chat	THE GENERALIZED KORTEWEG–DE VRIES EQUATION ON THE HALF LINE	2002	J. Colliander Carlos E. Kenig	18
+	Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations	1993	Jean Bourgain	15
+ PDF Chat	Boundary smoothing properties of the Korteweg-de Vries equation in a quarter plane and applications	2006	Jerry L. Bona S. M. Sun Bing‐Yu Zhang	11
+	The initial boundary value problem for some quadratic nonlinear Schrödinger equations on the half-line	2017	Márcio Cavalcante	11
+	Nonlinear Dispersive Equations	2006	Terence Tao	10
+	On the Cauchy Problem for the Zakharov System	1997	J. Ginibre Yoshio Tsutsumi G. Velo	9
+ PDF Chat	The initial-boundary value problem for the Schrödinger–Korteweg–de Vries system on the half-line	2018	Márcio Cavalcante Adán J. Corcho	8
+ PDF Chat	The initial-boundary-value problem for the 1D nonlinear Schrödinger equation on the half-line	2005	Justin Holmer	7
+	Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations	1993	Jean Bourgain	7
+	Regularity properties of the cubic nonlinear Schrödinger equation on the half line	2016	M. Burak Erdoğan Nikolaos Tzirakis	7
+ PDF Chat	Stability of KdV solitons on the half-line	2019	Márcio Cavalcante Claudio Muñoz	6
+ PDF Chat	Global well-posedness of Korteweg–de Vries equation in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>H</mml:mi><mml:mrow><mml:mo>−</mml:mo><mml:mn>3</mml:mn><mml:mo stretchy="false">/</mml:mo><mml:mn>4</mml:mn></mml:mrow></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="double-struck">R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>	2009	Zihua Guo	6
+ PDF Chat	The Korteweg–de Vries equation on a metric star graph	2018	Márcio Cavalcante	6
+ PDF Chat	Airy-type evolution equations on star graphs	2018	Delio Mugnolo Diego Noja Christian Seifert	6
+ PDF Chat	Well-posedness of the Cauchy problem for the Korteweg-de Vries equation at the critical regularity	2009	Nobu Kishimoto	6
+	An Initial Boundary-Value Problem in a Half-Strip for the Korteweg–De Vries Equation in Fractional-Order Sobolev Spaces	2005	Andrei V. Faminskii	6
+ PDF Chat	A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane	2001	Jerry L. Bona S. M. Sun Bing‐Yu Zhang	6
+ PDF Chat	Well-posedness and nonlinear smoothing for the “good” Boussinesq equation on the half-line	2017	E. Compaan Nikolaos Tzirakis	5
+	The Inhomogeneous Dirichlet Problem in Lipschitz Domains	1995	David Jerison Carlos E. Kenig	5
+	A unified transform method for solving linear and certain nonlinear PDEs	1997	A. S. Fokas	5
+ PDF Chat	Variational properties and orbital stability of standing waves for NLS equation on a star graph	2014	Riccardo Adami Claudio Cacciapuoti Domenico Finco Diego Noja	5
+ PDF Chat	Feedback Stabilization and Boundary Controllability of the Korteweg--de Vries Equation on a Star-Shaped Network	2018	Kaïs Ammari Emmanuelle Crépeau	5
+	The Korteweg–de Vries equation on the half-line	2016	A. S. Fokas A. Alexandrou Himonas Dionyssios Mantzavinos	4
+	Stability and Asymptotic Stability for Subcritical gKdV Equations	2002	Yvan Martel Frank Merle Tai‐Peng Tsai	4
+	On nonlinear Schrödinger equations, II.H S -solutions and unconditional well-posedness	1995	Tosio Kato	4
+	Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion	2000	V. I. Karpman A. G. Shagalov	4
+ PDF Chat	Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations	2017	Jerry L. Bona Shu-Ming Sun Bing‐Yu Zhang	4
+	Self-Focusing with Fourth-Order Dispersion	2002	Boaz Ilan Gadi Fibich George Papanicolaou	4
+	Dispersion estimates for fourth order Schrödinger equations	2000	Matania Ben–Artzi Herbert Koch Jean‐Claude Saut	4
+	The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices	1993	Carlos E. Kenig Gustavo Ponce Luis Vega	4
+	Stabilization of soliton instabilities by higher-order dispersion: Fourth-order nonlinear Schrödinger-type equations	1996	V. I. Karpman	4
+ PDF Chat	Regularity properties of the Zakharov system on the half line	2017	M. Burak Erdoğan Nikolaos Tzirakis	4
+ PDF Chat	Construction of exact travelling waves for the Benjamin-Bona-Mahony equation on networks	2014	Delio Mugnolo Jean-François Rault	4
+	Oscillatory Solitary Waves in Dispersive Media	1972	Takuji Kawahara	4
+	The Kawahara equation on bounded intervals and on a half-line	2015	Nikolai A. Larkin Marcio Simões	4
+ PDF Chat	The interaction of long and short waves in dispersive media	2016	Bernard Deconinck Nghiem V. Nguyen Benjamin L. Segal	3
+	The Korteweg–de Vries Equation, Posed in a Quarter-Plane	1983	Jerry L. Bona Ragnar Winther	3
+ PDF Chat	Global well-posedness of two initial-boundary-value problems for the Korteweg-de Vries equation	2007	Andrei V. Faminskii	3
+ PDF Chat	Kawahara equation in a quarter-plane and in a finite domain	2009	Gleb G. Doronin Nikolai A. Larkin	3
+ PDF Chat	The initial boundary value problem for some quadratic nonlinear Schrödinger equations on the half-line	2017	Márcio Cavalcante	3
+ PDF Chat	The Korteweg-de Vries equation in a quarter plane, continuous dependence results	1989	Jerry L. Bona Ragnar Winther	3
+ PDF Chat	On the orbital instability of excited states for the NLS equation with the <i>δ</i>-interaction on a star graph	2018	Jaime Angulo Pava Nataliia Goloshchapova	3
+ PDF Chat	Global well-posedness for energy critical fourth-order Schrödinger equations in the radial case	2007	Benoît Pausader	3
+ PDF Chat	Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations	2001	Terence Tao	3
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy	3
+	Sharp well-posedness and ill-posedness results for a quadratic non-linear Schrödinger equation	2005	Ioan Bejenaru Terence Tao	3
+ PDF Chat	Well-posedness for the Schrödinger-Korteweg-de Vries system	2007	Adán J. Corcho Felipe Linares	3
+ PDF Chat	Non-homogeneous boundary value problems for the Korteweg–de Vries and the Korteweg–de Vries–Burgers equations in a quarter plane	2008	Shuyang Sun Bing‐Yu Zhang Jerry L. Bona	3
+	Existence of perturbed solitary wave solutions to a model equation for water waves	1988	John K. Hunter Jürgen Scheurle	3