Perfil del autor: González Burgos, Manuel
Datos institucionales
Nombre | González Burgos, Manuel |
Departamento | Ecuaciones Diferenciales y Análisis Numérico |
Área de conocimiento | Análisis Matemático |
Categoría profesional | Catedrático de Universidad |
Correo electrónico | Solicitar |
Estadísticas
-
Nº publicaciones
54
-
Nº visitas
8066
-
Nº descargas
11211
Publicaciones |
---|
Artículo
Sharp estimates for biorthogonal families to exponential functions associated to complex sequences without gap conditions
(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
Espacios de Sobolev
(2023)
Los espacios de Sobolev son unos espacios normados con unas caracter´ısticas importantes. En ellos, es posible la resoluci´on ... |
Artículo
Remarks on the controllability of parabolic systems with non-diagonalizable diffusion matrix
(AIMS, 2023)
The distributed null controllability for coupled parabolic systems with non-diagonalizable diffusion matrices with a reduced ... |
Trabajo Fin de Grado
Controlabilidad de sistemas diferenciales ordinarios. Coste de controles rápidos. Aplicaciones
(2022)
En este trabajo vamos a considerar un sistema diferencial ordinario lineal de la forma: ( y ′ = A(t)y + B(t)u, t ∈ [0, ... |
Artículo
Boundary controllability of a one-dimensional phase-field system with one control force
(Elsevier, 2020)
In this paper, we present some controllability results for linear and nonlinear phase-field systems of Caginalp type ... |
Ponencia
Sharp estimates of the one-dimensional boundary control cost for parabolic systems
(American Mathematical Society, 2020)
|
Artículo
Quantitative Fattorini-Hautus test and minimal null control time for parabolic problems
(Elsevier, 2018)
This paper investigates the link between the null controllability property for some abstract parabolic problems and an ... |
Libro
Recent Advances in PDEs: Analysis, Numerics and Control. In Honor of Prof. Fernández-Cara's 60th Birthday
(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
Controlabilidad de ecuaciones escalares parabólicas: análisis de diferentes técnicas
(2017)
The controllability of parabolic partial differential equations has been a topic of increasing interest in the last decades ... |
Artículo
New phenomena for the null controllability of parabolic systems: Minimal time and geometrical dependence
(Elsevier, 2016)
We consider the null controllability problem for two coupled parabolic equations with a space-depending coupling term. We ... |
Ponencia
Controllability of non-scalar parabolic systems: Some recent results and phenomena
(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 |
Artículo
Controllability of linear and semilinear non-diagonalizable parabolic systems
(EDP Sciences, 2015)
This paper is concerned with the controllability of some (linear and semilinear) nondiagonalizable parabolic systems of ... |
Artículo
Minimal time for the null controllability of parabolic systems: the effect of the condensation index of complex sequences
(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 ... |
Artículo
Minimal time of controllability of two parabolic equations with disjoint control and coupling domains
(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 ... |
Artículo
Sharp estimates of the one-dimensional boundary control cost for parabolic systems and application to the N-dimensional boundary null controllability in cylindrical domains
(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
Minimal time of controllability for some parabolic systems
(2014)
The general aim of this talk is to show a phenomenon which arise when we deal with the null controllability properties of ... |
Artículo
A new relation between the condensation index of complex sequences and the null controllability of parabolic systems
(Elsevier, 2013)
In this note we present a new result that relates the condensation index of a sequence of complex numbers with the null ... |
Artículo
Some controllability results for linear viscoelastic fluids
(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 ... |
Artículo
The Kalman condition for the boundary controllability of coupled parabolic systems. Bounds on biorthogonal families to complex matrix exponentials
(Elsevier, 2011)
This paper is devoted to prove the controllability to trajectories of a system of n one-dimensional parabolic equations ... |
Artículo
Recent results on the controllability of linear coupled parabolic problems: A survey
(American Institute of Mathematical Sciences, 2011)
This paper tries to summarize recent results on the controllability of systems of (several) parabolic equations. The ... |
Ponencia |
Ponencia |
Artículo
Boundary controllability of parabolic coupled equations
(Elsevier, 2010)
This paper is concerned with the boundary controllability of non-scalar linear parabolic systems. More precisely, two ... |
Ponencia |
Ponencia
Some recent results on controllability of coupled parabolic systems: towards a Kalman condition
(2010)
Show the important differences between scalar and non scalar problems. Give necessary and sufficient conditions (Kalman ... |
Artículo
Controllability results for cascade systems of m coupled parabolic PDEs by one control force
(European Mathematical Society, 2010)
In this paper we will analyze the controllability properties of a linear coupled parabolic system of m equations when a ... |
Artículo
A generalization of the Kalman rank condition for time-dependent coupled linear parabolic systems
(Ele-Math, 2009)
In this paper we present a generalization of the Kalman rank condition for linear ordinary differential systems to the ... |
Artículo
On the boundary controllability of non-scalar parabolic systems
(Elsevier, 2009)
This Note is concerned with the boundary controllability of non-scalar linear parabolic systems. More precisely, two coupled ... |
Artículo
A Kalman rank condition for the localized distributed controllability of a class of linear parabolic systems
(Springer, 2009)
We present a generalization of the Kalman rank condition to the case of non linear parabolic systems with constant ... |
Artículo
Controllability for a class of reaction-diffusion systems: the generalized Kalman's condition
(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
Null controllability results for parabolic equations in unbounded domains
(2007)
In this talk we present some results concerning the null controllability for a heat equation in unbounded domains. We ... |
Artículo
A geometric inverse problem for the Boussinesq system
(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 ... |
Artículo
Null-exact controllability of a semilinear cascade system of parabolic-hyperbolic equations
(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 ... |
Artículo
Null controllability of the heat equation with boundary Fourier conditions: the linear case
(EDP Sciences, 2006)
In this paper, we prove the global null controllability of the linear heat equation completed with linear Fourier boundary ... |
Artículo
Exact controllability to the trajectories of the heat equation with Fourier boundary conditions: the semilinear case
(EDP Sciences, 2006)
This paper is concerned with the global exact controllability of the semilinear heat equation (with nonlinear terms involving ... |
Artículo
Null controllability of the heat equation with boundary Fourier conditions: the linear case
(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 ... |
Artículo
Uniqueness and partial identification in a geometric inverse problem for the Boussinesq system
(Elsevier, 2006)
We analyze the inverse problem of the identification of a rigid body immersed in a fluid governed by the stationary Boussinesq ... |
Artículo
Controllability results for some nonlinear coupled parabolic systems by one control force
(IOS Press, 2006)
In this paper, we present new controllability results for some nonlinear coupled parabolic systems considered in a bounded ... |
Tesis Doctoral
Controlabilidad de algunas ecuaciones en derivadas parciales no lineales de tipo parabólico e hiperbólico
(2005)
Esta memoria está esencialmente dividida en cinco partes, En la primera, se realiza una detallada introducción sobre los ... |
Artículo
Controllability of some coupled parabolic systems by one control force
(Elsevier, 2005)
In this Note we present a new approach which allows one to prove new controllability results for some coupled parabolic ... |
Artículo
On the controllability of the heat equation with nonlinear boundary Fourier conditions
(Elsevier, 2004)
In this paper we analyze the approximate and null controllability of the classical heat equation with nonlinear boundary ... |
Artículo
Existence of insensitizing controls for a semilinear heat equation with a superlinear nonlinearity
(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 ... |
Artículo
Insensitizing controls for a heat equation with a nonlinear term involving the state and the gradient
(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 |
Artículo
A local result on insensitizing controls for a semilinear heat equation with nonlinear boundary Fourier conditions
(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 ... |
Artículo
Insensitizing controls for a semilinear heat equation with a superlinear nonlinearity
(Elsevier, 2002)
This Note is concerned with the existence of insensitizing controls for a semilinear heat equation when we consider ... |
Artículo
On the controllability of parabolic systems with a nonlinear term involving the state and the gradient
(Society for Industrial and Applied Mathematics, 2002)
We present some results concerning the controllability of a quasi-linear parabolic equation (with linear principal part) ... |
Artículo
Controlabilidad de E.D.P. parabólicas
(Sociedad Española de Matemática Aplicada, 2001)
|
Tesis Doctoral
Análisis y control de algunas EDP no lineales con origen en mecánica
(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". |
Artículo
A result concerning controllability for the Navier-Stokes equations
(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
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
(1993)
"En esta Memoria, estudiamos cuestiones relacionadas con dos problemas en derivadas parciales de evolución no lineales. ... |