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Author ID: martinez.patrick Recent zbMATH articles by "Martinez, Patrick"
Published as: Martinez, Patrick; Martinez, P.; Martinez, Partick
External Links: MGP
Documents Indexed: 50 Publications since 1996, including 1 Book and 3 Additional arXiv Preprints
Co-Authors: 16 Co-Authors with 38 Joint Publications
529 Co-Co-Authors
all top 5

Serials

6 SIAM Journal on Control and Optimization
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Communications on Pure and Applied Analysis
2 Discrete and Continuous Dynamical Systems. Series S
2 Rivista di Matematica della Università di Parma. New Series
1 American Mathematical Monthly
1 Israel Journal of Mathematics
1 Journal of Mathematical Analysis and Applications
1 Acta Scientiarum Mathematicarum
1 Journal of Differential Equations
1 Memoirs of the American Mathematical Society
1 Portugaliae Mathematica
1 Transactions of the American Mathematical Society
1 Asymptotic Analysis
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 SIAM Journal on Mathematical Analysis
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Advances in Differential Equations
1 Discrete and Continuous Dynamical Systems
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Revista Matemática Complutense
1 Journal of Evolution Equations
1 Discrete and Continuous Dynamical Systems. Series B
1 Comptes Rendus. Mécanique. Académie des Sciences, Paris
1 Mathematical Control and Related Fields
1 Evolution Equations and Control Theory
1 Nonlinear Analysis. Theory, Methods & Applications
1 Minimax Theory and its Applications

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 1,166 times in 685 Documents Cited by Year
General decay rate estimates for viscoelastic dissipative systems. Zbl 1124.74009
Cavalcanti, M. M.; Domingos Cavalcanti, V. N.; Martinez, P.
141
2008
A new method to obtain decay rate estimates for dissipative systems. Zbl 0923.35027
Martinez, Patrick
128
1999
Carleman estimates for a class of degenerate parabolic operators. Zbl 1168.35025
Cannarsa, P.; Martinez, P.; Vancostenoble, J.
127
2008
Existence and decay rate estimates for the wave equation with nonlinear boundary damping and source term. Zbl 1049.35047
Cavalcanti, Marcelo M.; Domingos Cavalcanti, Valéria N.; Martinez, Patrick
104
2004
A new method to obtain decay rate estimates for dissipative systems with localized damping. Zbl 0940.35034
Martinez, Patrick
98
1999
Null controllability of degenerate heat equations. Zbl 1145.35408
Cannarsa, P.; Martinez, P.; Vancostenoble, J.
96
2005
Carleman estimates for one-dimensional degenerate heat equations. Zbl 1179.93043
Martinez, P.; Vancostenoble, J.
70
2006
Persistent regional null controllability for a class of degenerate parabolic equations. Zbl 1063.35092
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
62
2004
Global Carleman estimates for degenerate parabolic operators with applications. Zbl 1328.35114
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
57
2016
Optimality of energy estimates for the wave equation with nonlinear boundary velocity feedbacks. Zbl 0984.35029
Vancostenoble, Judith; Martinez, Patrick
32
2000
The cost of controlling weakly degenerate parabolic equations by boundary controls. Zbl 1360.35104
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
29
2017
Regional null controllability of a linearized Crocco-type equation. Zbl 1037.93013
Martinez, P.; Raymond, J.-P.; Vancostenoble, J.
27
2003
Carleman estimates and null controllability for boundary-degenerate parabolic operators. Zbl 1162.35330
Cannarsa, Piermarco; Martinez, Partick; Vancostenoble, Judith
27
2009
Decay of solutions of the wave equation with a local highly degenerate dissipation. Zbl 0932.35025
Martinez, Patrick
15
1999
Precise decay rate estimates for time-dependent dissipative systems. Zbl 0963.35031
Martinez, Patrick
14
2000
Null controllability of the heat equation in unbounded domains by a finite measure control region. Zbl 1091.93011
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
14
2004
Asymptotic stability for intermittently controlled second-order evolution equations. Zbl 1082.93050
Haraux, A.; Martinez, P.; Vancostenoble, J.
11
2005
Exponential stability for the wave equation with weak nonmonotone damping. Zbl 0963.35127
Martinez, P.; Vancostenoble, J.
10
2000
Stabilization of the wave equation by on-off and positive-negative feedbacks. Zbl 1026.35061
Martinez, Patrick; Vancostenoble, Judith
10
2002
How travelling waves attract the solutions of KPP-type equations. Zbl 1284.35108
Bages, Michaël; Martinez, Patrick; Roquejoffre, Jean-Michel
10
2012
Large-time dynamics for a class of KPP-type equations in periodic media. (Dynamique en grand temps pour une classe d’équations de type KPP en milieu périodique.) Zbl 1156.35322
Bages, Michaël; Martinez, Patrick; Roquejoffre, Jean-Michel
9
2008
The cost of controlling strongly degenerate parabolic equations. Zbl 1442.93016
Cannarsa, P.; Martinez, P.; Vancostenoble, J.
9
2020
Precise estimates for biorthogonal families under asymptotic gap conditions. Zbl 1466.93017
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
9
2020
Null controllability for parabolic operators with interior degeneracy and one-sided control. Zbl 1410.35076
Cannarsa, Piermarco; Ferretti, Roberto; Martinez, Patrick
8
2019
Qualitative properties of a population dynamics system describing pregnancy. Zbl 1092.92037
Fragnelli, G.; Martinez, P.; Vancostenoble, J.
7
2005
Uniform boundary stabilization of elasticity systems of cubic crystals by nonlinear feedbacks. Zbl 0939.35026
Martinez, Patrick
6
1999
The cost of boundary controllability for a parabolic equation with inverse square potential. Zbl 1425.93045
Martinez, Patrick; Vancostenoble, Judith
6
2019
Exact controllability in “arbitrarily short time” of the semilinear wave equation. Zbl 1026.93008
Martinez, Patrick; Vancostenoble, Judith
5
2003
“Blow-up” of bounded solutions of differential equations. Zbl 1048.34098
Komornik, Vilmos; Martinez, Patrick; Pierre, Michel; Vancostenoble, Judith
4
2003
Regional null controllability for degenerate heat equations. (Nulle contrôlabilité régionale pour des équations de la chaleur dégénérées.) Zbl 1010.93051
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
4
2002
Stabilization for the wave equation with Neumann boundary condition by a locally distributed damping. Zbl 0952.35069
Martinez, Patrick
3
2000
Existence of pulsating waves in a monostable reaction-diffusion system in solid combustion. Zbl 1207.35186
Bages, Michaël; Martinez, Patrick
3
2010
Boundary stabilization of the wave equation in almost star-shaped domains. Zbl 0946.93025
Martinez, Patrick
2
1999
Existence of pulsating waves of advection-reaction-diffusion equations of ignition type by a new method. Zbl 1238.35043
Bages, Michaël; Martinez, Patrick
2
2009
Sharp estimate of the cost of controllability for a degenerate parabolic equation with interior degeneracy. Zbl 1470.35206
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
2
2021
Boundary stabilization of the wave equation in polygonal domains. (Stabilisation frontière de l’équation des ondes dans des domaines polygonaux.) Zbl 0847.35080
Martinez, Patrick
1
1996
On-off stabilisation and controllability of the wave equation. (Stabilisation et contrôle intermittent de l’équation des ondes.) Zbl 1038.93042
Martinez, Patrick; Vancostenoble, Judith
1
2001
Lipschitz stability for an inverse problem for the 2D-Sellers model on a manifold. Zbl 1375.58021
Martinez, Patrick; Tort, Jacques; Vancostenoble, Judith
1
2016
Bilinear control of a degenerate hyperbolic equation. Zbl 1527.35184
Cannarsa, Piermarco; Martinez, Patrick; Urbani, Cristina
1
2023
The rate of attraction of super-critical waves in a Fisher-KPP type model with shear flow. Zbl 1267.35036
Martinez, Patrick; Roquejoffre, Jean-Michel
1
2012
Bilinear control of a degenerate hyperbolic equation. Zbl 1527.35184
Cannarsa, Piermarco; Martinez, Patrick; Urbani, Cristina
1
2023
Sharp estimate of the cost of controllability for a degenerate parabolic equation with interior degeneracy. Zbl 1470.35206
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
2
2021
The cost of controlling strongly degenerate parabolic equations. Zbl 1442.93016
Cannarsa, P.; Martinez, P.; Vancostenoble, J.
9
2020
Precise estimates for biorthogonal families under asymptotic gap conditions. Zbl 1466.93017
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
9
2020
Null controllability for parabolic operators with interior degeneracy and one-sided control. Zbl 1410.35076
Cannarsa, Piermarco; Ferretti, Roberto; Martinez, Patrick
8
2019
The cost of boundary controllability for a parabolic equation with inverse square potential. Zbl 1425.93045
Martinez, Patrick; Vancostenoble, Judith
6
2019
The cost of controlling weakly degenerate parabolic equations by boundary controls. Zbl 1360.35104
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
29
2017
Global Carleman estimates for degenerate parabolic operators with applications. Zbl 1328.35114
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
57
2016
Lipschitz stability for an inverse problem for the 2D-Sellers model on a manifold. Zbl 1375.58021
Martinez, Patrick; Tort, Jacques; Vancostenoble, Judith
1
2016
How travelling waves attract the solutions of KPP-type equations. Zbl 1284.35108
Bages, Michaël; Martinez, Patrick; Roquejoffre, Jean-Michel
10
2012
The rate of attraction of super-critical waves in a Fisher-KPP type model with shear flow. Zbl 1267.35036
Martinez, Patrick; Roquejoffre, Jean-Michel
1
2012
Existence of pulsating waves in a monostable reaction-diffusion system in solid combustion. Zbl 1207.35186
Bages, Michaël; Martinez, Patrick
3
2010
Carleman estimates and null controllability for boundary-degenerate parabolic operators. Zbl 1162.35330
Cannarsa, Piermarco; Martinez, Partick; Vancostenoble, Judith
27
2009
Existence of pulsating waves of advection-reaction-diffusion equations of ignition type by a new method. Zbl 1238.35043
Bages, Michaël; Martinez, Patrick
2
2009
General decay rate estimates for viscoelastic dissipative systems. Zbl 1124.74009
Cavalcanti, M. M.; Domingos Cavalcanti, V. N.; Martinez, P.
141
2008
Carleman estimates for a class of degenerate parabolic operators. Zbl 1168.35025
Cannarsa, P.; Martinez, P.; Vancostenoble, J.
127
2008
Large-time dynamics for a class of KPP-type equations in periodic media. (Dynamique en grand temps pour une classe d’équations de type KPP en milieu périodique.) Zbl 1156.35322
Bages, Michaël; Martinez, Patrick; Roquejoffre, Jean-Michel
9
2008
Carleman estimates for one-dimensional degenerate heat equations. Zbl 1179.93043
Martinez, P.; Vancostenoble, J.
70
2006
Null controllability of degenerate heat equations. Zbl 1145.35408
Cannarsa, P.; Martinez, P.; Vancostenoble, J.
96
2005
Asymptotic stability for intermittently controlled second-order evolution equations. Zbl 1082.93050
Haraux, A.; Martinez, P.; Vancostenoble, J.
11
2005
Qualitative properties of a population dynamics system describing pregnancy. Zbl 1092.92037
Fragnelli, G.; Martinez, P.; Vancostenoble, J.
7
2005
Existence and decay rate estimates for the wave equation with nonlinear boundary damping and source term. Zbl 1049.35047
Cavalcanti, Marcelo M.; Domingos Cavalcanti, Valéria N.; Martinez, Patrick
104
2004
Persistent regional null controllability for a class of degenerate parabolic equations. Zbl 1063.35092
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
62
2004
Null controllability of the heat equation in unbounded domains by a finite measure control region. Zbl 1091.93011
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
14
2004
Regional null controllability of a linearized Crocco-type equation. Zbl 1037.93013
Martinez, P.; Raymond, J.-P.; Vancostenoble, J.
27
2003
Exact controllability in “arbitrarily short time” of the semilinear wave equation. Zbl 1026.93008
Martinez, Patrick; Vancostenoble, Judith
5
2003
“Blow-up” of bounded solutions of differential equations. Zbl 1048.34098
Komornik, Vilmos; Martinez, Patrick; Pierre, Michel; Vancostenoble, Judith
4
2003
Stabilization of the wave equation by on-off and positive-negative feedbacks. Zbl 1026.35061
Martinez, Patrick; Vancostenoble, Judith
10
2002
Regional null controllability for degenerate heat equations. (Nulle contrôlabilité régionale pour des équations de la chaleur dégénérées.) Zbl 1010.93051
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
4
2002
On-off stabilisation and controllability of the wave equation. (Stabilisation et contrôle intermittent de l’équation des ondes.) Zbl 1038.93042
Martinez, Patrick; Vancostenoble, Judith
1
2001
Optimality of energy estimates for the wave equation with nonlinear boundary velocity feedbacks. Zbl 0984.35029
Vancostenoble, Judith; Martinez, Patrick
32
2000
Precise decay rate estimates for time-dependent dissipative systems. Zbl 0963.35031
Martinez, Patrick
14
2000
Exponential stability for the wave equation with weak nonmonotone damping. Zbl 0963.35127
Martinez, P.; Vancostenoble, J.
10
2000
Stabilization for the wave equation with Neumann boundary condition by a locally distributed damping. Zbl 0952.35069
Martinez, Patrick
3
2000
A new method to obtain decay rate estimates for dissipative systems. Zbl 0923.35027
Martinez, Patrick
128
1999
A new method to obtain decay rate estimates for dissipative systems with localized damping. Zbl 0940.35034
Martinez, Patrick
98
1999
Decay of solutions of the wave equation with a local highly degenerate dissipation. Zbl 0932.35025
Martinez, Patrick
15
1999
Uniform boundary stabilization of elasticity systems of cubic crystals by nonlinear feedbacks. Zbl 0939.35026
Martinez, Patrick
6
1999
Boundary stabilization of the wave equation in almost star-shaped domains. Zbl 0946.93025
Martinez, Patrick
2
1999
Boundary stabilization of the wave equation in polygonal domains. (Stabilisation frontière de l’équation des ondes dans des domaines polygonaux.) Zbl 0847.35080
Martinez, Patrick
1
1996
all top 5

Cited by 675 Authors

31 Cavalcanti, Marcelo Moreira
25 Cannarsa, Piermarco
25 Messaoudi, Salim A.
23 Domingos Cavalcanti, Valéria Neves
20 Liu, Wenjun
20 Martinez, Patrick
18 Ha, Tae Gab
17 Mustafa, Muhammad Islam
17 Tatar, Nasser-eddine
17 Vancostenoble, Judith
15 Alabau-Boussouira, Fatiha
15 Fragnelli, Genni
14 Lasiecka, Irena
12 Salhi, Jawad
11 Beauchard, Karine
11 Benaissa, Abbes
11 Wang, Chunpeng
10 Algharabli, Mohammad M.
10 Du, Runmei
10 Khemmoudj, Ammar
10 Tcheugoué Tébou, Louis Roder
10 Toundykov, Daniel
10 Wang, Mingxin
9 Allal, Brahim
9 Han, Xiaosen
9 Maniar, Lahcen
9 Park, Jong Yeoul
9 Xiao, Ti-Jun
8 Kamynin, Vitaly Leonidovich
7 Di, Huafei
7 Kang, Jum-Ran
7 Li, Gang
7 Park, SunHye
7 Xu, Runzhang
6 Deng, Zuicha
6 Hamel, François
6 Hao, Jianghao
6 Li, Shengjia
6 Liu, Yacheng
6 Yang, Liu
6 Zuazua, Enrique
5 Al-Mahdi, Adel M.
5 Boudjeriou, Tahir
5 Feng, Baowei
5 Gonzalez Martinez, Victor Hugo
5 Hajjaj, Abdelkarim
5 Morancey, Morgan
5 Mugnai, Dimitri
5 Nie, Yuanyuan
5 Piṣkin, Erhan
5 Shahrouzi, Mohammad
5 Shang, Yadong
5 Urbani, Cristina
5 Vicente, André
5 Wu, Shuntang
5 Xu, Fengdan
5 Zhou, Mingjun
5 Zhou, Qian
4 Boulaaras, Salah Mahmoud
4 Chai, Shugen
4 Chitour, Yacine
4 Daoulatli, Moez
4 Dardé, Jérémi
4 Echarroudi, Younes
4 Fardigola, Larissa V.
4 Floridia, Giuseppe
4 Fukuoka, Ryuichi
4 Gao, Hang
4 Jing, Xinxin
4 Jorge da Silva, Marcio Antonio
4 Kang, Yong Han
4 Khalina, Kateryna S.
4 Koenig, Armand
4 Li, Fushan
4 Liang, Jin
4 Liao, Menglan
4 Luo, Jun-Ren
4 Song, Haitao
4 Vitillaro, Enzo
4 Wang, Peipei
4 Wang, Xiaojun
4 Wu, Bin
4 Wu, Yuhu
4 Xue, Xiaoping
4 Ye, Yaojun
4 Zennir, Khaled
4 Zhang, MuMing
3 Alaeddine, Draifia
3 Alves, Claudianor Oliveira
3 Amroun, Noureddine
3 Araruna, Fágner Dias
3 Araújo, Bruno Sérgio V.
3 Bages, Michaël
3 Boumaza, Nouri
3 Boutaayamou, Idriss
3 Chen, Kewang
3 Cung The Anh
3 de Teresa, Luz
3 Dias Silva, Flávio Roberto
3 Ervedoza, Sylvain
...and 575 more Authors
all top 5

Cited in 162 Serials

34 Journal of Differential Equations
34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
31 Journal of Mathematical Analysis and Applications
25 Mathematical Methods in the Applied Sciences
23 Applicable Analysis
23 ZAMP. Zeitschrift für angewandte Mathematik und Physik
23 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
19 Journal of Mathematical Physics
18 SIAM Journal on Control and Optimization
15 Applied Mathematics and Optimization
15 Journal of Dynamical and Control Systems
14 Comptes Rendus. Mathématique. Académie des Sciences, Paris
13 Evolution Equations and Control Theory
12 Applied Mathematics Letters
11 Nonlinear Analysis. Real World Applications
10 Discrete and Continuous Dynamical Systems
10 Journal of Evolution Equations
10 Discrete and Continuous Dynamical Systems. Series B
10 Boundary Value Problems
10 Mathematical Control and Related Fields
9 Computers & Mathematics with Applications
9 Mathematische Nachrichten
9 Acta Applicandae Mathematicae
9 Electronic Journal of Differential Equations (EJDE)
8 Applied Mathematics and Computation
8 Mediterranean Journal of Mathematics
8 Discrete and Continuous Dynamical Systems. Series S
7 Journal of Dynamics and Differential Equations
6 NoDEA. Nonlinear Differential Equations and Applications
5 Asymptotic Analysis
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Journal of Inverse and Ill-Posed Problems
5 Abstract and Applied Analysis
5 Journal of Systems Science and Complexity
5 Communications on Pure and Applied Analysis
5 Advances in Nonlinear Analysis
4 International Journal of Control
4 Journal of Functional Analysis
4 Memoirs of the American Mathematical Society
4 Transactions of the American Mathematical Society
4 Systems & Control Letters
4 Topological Methods in Nonlinear Analysis
4 Arabian Journal of Mathematics
3 Mathematical Notes
3 Journal of Computational and Applied Mathematics
3 Facta Universitatis. Series Mathematics and Informatics
3 MCSS. Mathematics of Control, Signals, and Systems
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 SIAM Journal on Mathematical Analysis
3 Calculus of Variations and Partial Differential Equations
3 Journal of Mathematical Sciences (New York)
3 Filomat
3 Taiwanese Journal of Mathematics
3 Journal of Inequalities and Applications
3 Journal of the European Mathematical Society (JEMS)
3 Advances in Difference Equations
2 Archive for Rational Mechanics and Analysis
2 Inverse Problems
2 Israel Journal of Mathematics
2 Journal of the Franklin Institute
2 Nonlinearity
2 Annales de l’Institut Fourier
2 International Journal of Mathematics and Mathematical Sciences
2 Proceedings of the American Mathematical Society
2 Ricerche di Matematica
2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
2 Chinese Annals of Mathematics. Series B
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Applications of Mathematics
2 Computational Mathematics and Mathematical Physics
2 Applied Mathematical Modelling
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Mathematical Problems in Engineering
2 Journal of Applied Analysis
2 Revista Matemática Complutense
2 Communications in Nonlinear Science and Numerical Simulation
2 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms
2 Journal of Applied Mathematics
2 Portugaliae Mathematica. Nova Série
2 Journal of Applied Mathematics and Computing
2 Journal of Function Spaces and Applications
2 Boletim da Sociedade Paranaense de Matemática. Terceira Série
2 Journal of Mathematical Physics, Analysis, Geometry
2 International Journal of Differential Equations
2 Journal of Function Spaces
2 Journal de l’École Polytechnique – Mathématiques
2 Séminaire Laurent Schwartz. EDP et Applications
2 AIMS Mathematics
2 Electronic Research Archive
2 Results in Applied Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Bulletin of Mathematical Biology
1 Acta Scientiarum Mathematicarum
1 Annales Polonici Mathematici
1 Automatica
1 Journal of the Korean Mathematical Society
1 Journal of Optimization Theory and Applications
1 Mathematische Annalen
1 Mathematics and Computers in Simulation
1 Mathematische Zeitschrift
...and 62 more Serials

Citations by Year