NombreGonzález Burgos, Manuel
DepartamentoEcuaciones Diferenciales y Análisis Numérico
Área de conocimientoAnálisis Matemático
Categoría profesionalCatedrático de Universidad
Correo electrónicoSolicitar
           
  • Nº publicaciones

    54

  • Nº visitas

    7241

  • Nº descargas

    10234


 

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Sharp estimates for biorthogonal families to exponential functions associated to complex sequences without gap conditions

González Burgos, Manuel; Ouaili, Lydia (AIMS, 2023)
The general goal of this work is to obtain upper and lower bounds for the -norm of biorthogonal families to complex ...
Trabajo Fin de Grado
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Espacios de Sobolev

Oitabén Santos, Teresa; González Burgos, Manuel (2023)
Los espacios de Sobolev son unos espacios normados con unas caracter´ısticas importantes. En ellos, es posible la resoluci´on ...
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Remarks on the controllability of parabolic systems with non-diagonalizable diffusion matrix

Duprez, Michel; González Burgos, Manuel; Araujo de Souza, Diego (AIMS, 2023)
The distributed null controllability for coupled parabolic systems with non-diagonalizable diffusion matrices with a reduced ...
Trabajo Fin de Grado
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Controlabilidad de sistemas diferenciales ordinarios. Coste de controles rápidos. Aplicaciones

Rodríguez Rodríguez, Alejandro; González Burgos, Manuel (2022)
En este trabajo vamos a considerar un sistema diferencial ordinario lineal de la forma: ( y ′ = A(t)y + B(t)u, t ∈ [0, ...
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Boundary controllability of a one-dimensional phase-field system with one control force

González Burgos, Manuel; Sousa Neto, Gilcenio R. (Elsevier, 2020)
In this paper, we present some controllability results for linear and nonlinear phase-field systems of Caginalp type ...
Ponencia
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Sharp estimates of the one-dimensional boundary control cost for parabolic systems

González Burgos, Manuel; Ouaili, Lydia (American Mathematical Society, 2020)
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Quantitative Fattorini-Hautus test and minimal null control time for parabolic problems

Ammar-Khodja, Farid; Benabdallah, Assia; González Burgos, Manuel; Morancey, Morgan (Elsevier, 2018)
This paper investigates the link between the null controllability property for some abstract parabolic problems and an ...
Libro
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Recent Advances in PDEs: Analysis, Numerics and Control. In Honor of Prof. Fernández-Cara's 60th Birthday

Doubova Krasotchenko, Anna; González Burgos, Manuel; Guillén González, Francisco Manuel; Marín Beltrán, Mercedes (Springer, 2018)
This book contains the main results of the talks given at the workshop “Recent Advances in PDEs: Analysis, Numerics and ...
Trabajo Fin de Máster
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Controlabilidad de ecuaciones escalares parabólicas: análisis de diferentes técnicas

Sánchez Florido, Aitor; González Burgos, Manuel (2017)
The controllability of parabolic partial differential equations has been a topic of increasing interest in the last decades ...
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New phenomena for the null controllability of parabolic systems: Minimal time and geometrical dependence

Ammar-Khodja, Farid; Benabdallah, Assia; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (Elsevier, 2016)
We consider the null controllability problem for two coupled parabolic equations with a space-depending coupling term. We ...
Ponencia
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Controllability of non-scalar parabolic systems: Some recent results and phenomena

González Burgos, Manuel (2016)
In this course we will deal with non-scalar systems which in fact are coupled parabolic scalar equations. We do not present ...
Ponencia
Ponencia
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Controllability of linear and semilinear non-diagonalizable parabolic systems

Fernández Cara, Enrique; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (EDP Sciences, 2015)
This paper is concerned with the controllability of some (linear and semilinear) nondiagonalizable parabolic systems of ...
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Minimal time for the null controllability of parabolic systems: the effect of the condensation index of complex sequences

Ammar-Khodja, Farid; Benabdallah, Assia; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (Elsevier, 2014)
Let (A, D(A)) a diagonalizable generator of a C0−semigroup of contractions on a complex Hilbert space X, B2L(C, Y ), Y ...
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Minimal time of controllability of two parabolic equations with disjoint control and coupling domains

Ammar-Khodja, Farid; Benabdallah, Assia; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (Elsevier, 2014)
We consider two parabolic equations coupled by a matrix A(x) = q(x)A0, where A0 is a Jordan block of order 1, and controlled ...
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Sharp estimates of the one-dimensional boundary control cost for parabolic systems and application to the N-dimensional boundary null controllability in cylindrical domains

Benabdallah, Assia; Boyer, Franck; González Burgos, Manuel; Olive, Guillaume (Society for Industrial and Applied Mathematics, 2014)
In this paper we consider the boundary null controllability of a system of n parabolic equations on domains of the form Ω ...
Ponencia
Ponencia
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Minimal time of controllability for some parabolic systems

González Burgos, Manuel; Ammar-Khodja, Farid; Benabdallah, Assia; Teresa de Oteyza, María de la Luz de (2014)
The general aim of this talk is to show a phenomenon which arise when we deal with the null controllability properties of ...
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A new relation between the condensation index of complex sequences and the null controllability of parabolic systems

Ammar-Khodja, Farid; Benabdallah, Assia; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (Elsevier, 2013)
In this note we present a new result that relates the condensation index of a sequence of complex numbers with the null ...
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Some controllability results for linear viscoelastic fluids

Boldrini, José Luiz; Doubova Krasotchenko, Anna; Fernández Cara, Enrique; González Burgos, Manuel (Society for Industrial and Applied Mathematics, 2012)
We analyze the controllability properties of systems which provide a description, at first approximation, of a kind of ...
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The Kalman condition for the boundary controllability of coupled parabolic systems. Bounds on biorthogonal families to complex matrix exponentials

Ammar-Khodja, Farid; Benabdallah, Assia; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (Elsevier, 2011)
This paper is devoted to prove the controllability to trajectories of a system of n one-dimensional parabolic equations ...
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Recent results on the controllability of linear coupled parabolic problems: A survey

Ammar-Khodja, Farid; Benabdallah, Assia; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (American Institute of Mathematical Sciences, 2011)
This paper tries to summarize recent results on the controllability of systems of (several) parabolic equations. The ...
Ponencia
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Controllability of non-scalar parabolic systems

González Burgos, Manuel (2011)
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Boundary controllability of parabolic coupled equations

Fernández Cara, Enrique; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (Elsevier, 2010)
This paper is concerned with the boundary controllability of non-scalar linear parabolic systems. More precisely, two ...
Ponencia
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Some recent results on controllability of coupled parabolic systems: towards a Kalman condition

González Burgos, Manuel (2010)
Show the important differences between scalar and non scalar problems. Give necessary and sufficient conditions (Kalman ...
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Controllability results for cascade systems of m coupled parabolic PDEs by one control force

González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (European Mathematical Society, 2010)
In this paper we will analyze the controllability properties of a linear coupled parabolic system of m equations when a ...
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A generalization of the Kalman rank condition for time-dependent coupled linear parabolic systems

Ammar-Khodja, Farid; Benabdallah, Assia; Dupaix, Cédric; González Burgos, Manuel (Ele-Math, 2009)
In this paper we present a generalization of the Kalman rank condition for linear ordinary differential systems to the ...
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On the boundary controllability of non-scalar parabolic systems

Fernández Cara, Enrique; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (Elsevier, 2009)
This Note is concerned with the boundary controllability of non-scalar linear parabolic systems. More precisely, two coupled ...
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A Kalman rank condition for the localized distributed controllability of a class of linear parabolic systems

Ammar-Khodja, Farid; Benabdallah, Assia; Dupaix, Cédric; González Burgos, Manuel (Springer, 2009)
We present a generalization of the Kalman rank condition to the case of non linear parabolic systems with constant ...
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Controllability for a class of reaction-diffusion systems: the generalized Kalman's condition

Ammar-Khodja, Farid; Benabdallah, Assia; Dupaix, Cédric; González Burgos, Manuel (Elsevier, 2007)
In this article, we study the controllability of a class of parabolic systems of the form Yt = (D∆+A)Y +Bχωu with Dirichlet ...
Ponencia
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Null controllability results for parabolic equations in unbounded domains

González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (2007)
In this talk we present some results concerning the null controllability for a heat equation in unbounded domains. We ...
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A geometric inverse problem for the Boussinesq system

Doubova Krasotchenko, Anna; Fernández Cara, Enrique; González Burgos, Manuel; Ortega Palma, Jaime Humberto (American Institute of Mathematical Sciences, 2006)
In this work we present some results for the inverse problem of the identification of a single rigid body immersed in a ...
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Null-exact controllability of a semilinear cascade system of parabolic-hyperbolic equations

Fernández Cara, Enrique; González Burgos, Manuel; Teresa de Oteyza, María de la Luz de (American Institute of Mathematical Sciences, 2006)
This paper is concerned with the null-exact controllability of a cascade system formed by a semilinear heat and a semilinear ...
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Null controllability of the heat equation with boundary Fourier conditions: the linear case

Fernández Cara, Enrique; González Burgos, Manuel; Guerrero Rodríguez, Sergio; Puel, Jean-Pierre (EDP Sciences, 2006)
In this paper, we prove the global null controllability of the linear heat equation completed with linear Fourier boundary ...
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Exact controllability to the trajectories of the heat equation with Fourier boundary conditions: the semilinear case

Fernández Cara, Enrique; González Burgos, Manuel; Guerrero Rodríguez, Sergio; Puel, Jean-Pierre (EDP Sciences, 2006)
This paper is concerned with the global exact controllability of the semilinear heat equation (with nonlinear terms involving ...
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Null controllability of the heat equation with boundary Fourier conditions: the linear case

Fernández Cara, Enrique; González Burgos, Manuel; Guerrero, Sergio; Puel, Jean-Pierre (Société de Mathématiques Appliquées et Industrielles, 2006)
In this paper, we prove the global null controllability of the linear heat equation completed with linear Fourier boundary ...
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Uniqueness and partial identification in a geometric inverse problem for the Boussinesq system

Doubova Krasotchenko, Anna; Fernández Cara, Enrique; González Burgos, Manuel; Ortega Palma, Jaime Humberto (Elsevier, 2006)
We analyze the inverse problem of the identification of a rigid body immersed in a fluid governed by the stationary Boussinesq ...
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Controllability results for some nonlinear coupled parabolic systems by one control force

González Burgos, Manuel; Pérez García, Rosario (IOS Press, 2006)
In this paper, we present new controllability results for some nonlinear coupled parabolic systems considered in a bounded ...
Tesis Doctoral
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Controlabilidad de algunas ecuaciones en derivadas parciales no lineales de tipo parabólico e hiperbólico

Guerrero Rodríguez, Sergio; Fernández Cara, Enrique; González Burgos, Manuel (2005)
Esta memoria está esencialmente dividida en cinco partes, En la primera, se realiza una detallada introducción sobre los ...
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Controllability of some coupled parabolic systems by one control force

González Burgos, Manuel; Pérez García, Rosario (Elsevier, 2005)
In this Note we present a new approach which allows one to prove new controllability results for some coupled parabolic ...
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On the controllability of the heat equation with nonlinear boundary Fourier conditions

Doubova Krasotchenko, Anna; Fernández Cara, Enrique; González Burgos, Manuel (Elsevier, 2004)
In this paper we analyze the approximate and null controllability of the classical heat equation with nonlinear boundary ...
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Existence of insensitizing controls for a semilinear heat equation with a superlinear nonlinearity

Bodart, Olivier; González Burgos, Manuel; Pérez García, Rosario (Taylor & Francis, 2004)
In this paper we consider a semilinear heat equation (in a bounded domain Ω of IRN ) with a nonlinearity that has a ...
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Insensitizing controls for a heat equation with a nonlinear term involving the state and the gradient

Bodart, Olivier; González Burgos, Manuel; Pérez García, Rosario (Elsevier, 2004)
In this paper we present two results on the existence of insensitizing controls for a heat equation in a bounded domain ...
Tesis Doctoral
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A local result on insensitizing controls for a semilinear heat equation with nonlinear boundary Fourier conditions

Bodart, Olivier; González Burgos, Manuel; Pérez García, Rosario (Society for Industrial and Applied Mathematics, 2004)
In this paper we present a local result on the existence of insensitizing controls for a semilinear heat equation when ...
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Insensitizing controls for a semilinear heat equation with a superlinear nonlinearity

Bodart, Olivier; González Burgos, Manuel; Pérez García, Rosario (Elsevier, 2002)
This Note is concerned with the existence of insensitizing controls for a semilinear heat equation when we consider ...
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On the controllability of parabolic systems with a nonlinear term involving the state and the gradient

Doubova Krasotchenko, Anna; Fernández Cara, Enrique; González Burgos, Manuel; Zuazua Iriondo, Enrique (Society for Industrial and Applied Mathematics, 2002)
We present some results concerning the controllability of a quasi-linear parabolic equation (with linear principal part) ...
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Controlabilidad de E.D.P. parabólicas

González Burgos, Manuel (Sociedad Española de Matemática Aplicada, 2001)
Tesis Doctoral
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Análisis y control de algunas EDP no lineales con origen en mecánica

Doubova Krasotchenko, Anna; Fernández Cara, Enrique; González Burgos, Manuel (2000)
"En esta Memoria, analizaremos diversos problemas de controlabilidad relacionados con ecuaciones en derivadas parciales (EDP) de evolución de tipo parabólico o hiperbólico, motivadas por problemas con origen en Mecánica".
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A result concerning controllability for the Navier-Stokes equations

Fernández Cara, Enrique; González Burgos, Manuel (Society for Industrial and Applied Mathematics, 1995)
The main goal of this paper is to present a new result concerning controllability of the time-dependent Navier-Stokes ...
Tesis Doctoral
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Dos problemas relacionados con E.D.P. de evolución no lineales A. Sobre la controlabilidad aproximada de las ecuaciones de Navier-Stokes con control frontera : B. Una nueva demostración de la existencia de solución de leyes de conservación escalares en va

González Burgos, Manuel; Fernández Cara, Enrique (1993)
"En esta Memoria, estudiamos cuestiones relacionadas con dos problemas en derivadas parciales de evolución no lineales. ...