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Author ID: haraux.alain Recent zbMATH articles by "Haraux, Alain"
Published as: Haraux, Alain; Haraux, A.
Homepage: https://www.ljll.math.upmc.fr/haraux/
External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp · IdRef · theses.fr
Documents Indexed: 161 Publications since 1974, including 7 Books
Co-Authors: 43 Co-Authors with 88 Joint Publications
1,157 Co-Co-Authors
all top 5

Serials

12 Journal of Differential Equations
6 Journal of Functional Analysis
6 Portugaliae Mathematica
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Portugaliae Mathematica. Nova Série
6 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Comptes Rendus de l’Académie des Sciences. Série I
4 Analysis and Applications (Singapore)
4 Evolution Equations and Control Theory
4 Nonlinear Analysis. Theory, Methods & Applications
3 Funkcialaj Ekvacioj. Serio Internacia
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
3 Journal of Dynamics and Differential Equations
3 Journal of Evolution Equations
2 Archive for Rational Mechanics and Analysis
2 Journal of the Mathematical Society of Japan
2 Manuscripta Mathematica
2 SIAM Journal on Control and Optimization
2 Transactions of the American Mathematical Society
2 Revista Matemática Iberoamericana
2 Asymptotic Analysis
2 NoDEA. Nonlinear Differential Equations and Applications
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Advances in Nonlinear Analysis
2 SpringerBriefs in Mathematics
1 Houston Journal of Mathematics
1 International Journal of Non-Linear Mechanics
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Analysis and Applications
1 Annales de l’Institut Fourier
1 Annales Polonici Mathematici
1 Archiv der Mathematik
1 Boletim da Sociedade Brasileira de Matemática
1 Chinese Journal of Mathematics
1 Commentationes Mathematicae Universitatis Carolinae
1 Indiana University Mathematics Journal
1 Journal of the Korean Mathematical Society
1 Tôhoku Mathematical Journal. Second Series
1 Rendiconti della Accademia Nazionale delle Scienze Detta dei XL. Memorie di Matemàtica. Serie V
1 Computational Mechanics
1 Differential and Integral Equations
1 Acta Mathematica Universitatis Comenianae. New Series
1 Communications in Partial Differential Equations
1 Matemática Aplicada e Computacional
1 Calculus of Variations and Partial Differential Equations
1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
1 Discrete and Continuous Dynamical Systems
1 The Journal of Fourier Analysis and Applications
1 Matemática Contemporânea
1 Journal of the European Mathematical Society (JEMS)
1 Communications in Contemporary Mathematics
1 Nonlinear Analysis. Real World Applications
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Communications on Pure and Applied Analysis
1 Lecture Notes in Mathematics
1 Oxford Lecture Series in Mathematics and its Applications
1 Publications Mathématiques de la Faculté des Sciences de Besançon. Analyse Non Linéaire
1 Bollettino dell’Unione Matematica Italiana. Series IX
1 Differential Equations and Applications
1 Journal of Singularities
1 International Journal of Mathematical Modelling and Numerical Optimisation
1 Journal of Abstract Differential Equations and Applications (JADEA)
1 Mathematical Control and Related Fields
1 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge
1 North-Western European Journal of Mathematics
1 Mathématiques & Applications (Paris)
1 Tunisian Journal of Mathematics

Publications by Year

Citations contained in zbMATH Open

142 Publications have been cited 2,496 times in 1,851 Documents Cited by Year
An introduction to semilinear evolution equations. Transl. by Yvan Martel. Revised ed. Zbl 0926.35049
Cazenave, Thierry; Haraux, Alain
292
1998
Systèmes dynamiques dissipatifs et applications. (Dissipative dynamical systems and applications). Zbl 0726.58001
Haraux, Alain
172
1991
Non-uniqueness for a semilinear initial value problem. Zbl 0465.35049
Haraux, Alain; Weissler, Fred B.
136
1982
Decay estimates for some semilinear damped hyperbolic problems. Zbl 0654.35070
Haraux, A.; Zuazua, E.
105
1988
Nonlinear evolution equations - global behavior of solutions. Zbl 0461.35002
Haraux, Alain
101
1981
Equations d’évolution avec non linearite logarithmique. Zbl 0411.35051
Cazenave, Thierry; Haraux, Alain
85
1980
Image d’une somme d’opérateurs monotones et applications. Zbl 0323.47041
Brézis, Haïm; Haraux, Alain
76
1976
Une remarque sur la stabilisation de certains systèmes du deuxième ordre en temps. (A remark on the stabilization of certain time-dependent systems of second order). Zbl 0679.93063
Haraux, A.
72
1989
Introduction to semilinear evolution problems. (Introduction aux problèmes d’évolution semi-linéaires.) Zbl 0786.35070
Cazenave, Thierry; Haraux, Alain
70
1990
How to differentiate the projection on a convex set in Hilbert space. Some applications to variational inequalities. Zbl 0387.46022
Haraux, A.
68
1977
Séries lacunaires et contrôle semi-interne des vibrations d’une plaque rectangulaire. (Lacunary series and semi-internal control of vibrations of a rectangular plate). Zbl 0685.93039
Haraux, Alain
61
1989
Convergence of solutions to second-order gradient-like systems with analytic nonlinearities. Zbl 0915.34060
Haraux, A.; Jendoubi, M. A.
57
1998
Convergence of bounded weak solutions of the wave equation with dissipation and analytic nonlinearity. Zbl 0939.35122
Haraux, Alain; Jendoubi, Mohamed Ali
53
1999
Two remarks on hyperbolic dissipative problems. Zbl 0579.35057
Haraux, A.
52
1985
Anti-periodic solutions of some nonlinear evolution equations. Zbl 0684.35010
Haraux, Alain
46
1989
Semi-linear hyperbolic problems in bounded domains. Zbl 0875.35054
Haraux, Alain
45
1987
Stabilization of trajectories for some weakly damped hyperbolic equations. Zbl 0535.35006
Haraux, A.
42
1985
Attractors of asymptotically compact processes and applications to nonlinear partial differential equations. Zbl 0676.35008
Haraux, Alain
41
1988
An optimal estimate for the difference of solutions of two abstract evolution equations. Zbl 1042.34090
Chill, Ralph; Haraux, Alain
37
2003
Large time behaviour of the solutions to some nonlinear evolution equations. Zbl 0583.35007
Haraux, A.
36
1985
Decay estimates to equilibrium for some evolution equations with an analytic nonlinearity. Zbl 0993.35017
Haraux, A.; Jendoubi, M. A.
32
2001
On a result of K. Masuda concerning reaction-diffusion equations. Zbl 0689.35041
Haraux, Alain; Youkana, Amar
30
1988
Rate of decay to equilibrium in some semilinear parabolic equations. Zbl 1036.35035
Haraux, Alain; Jendoubi, Mohamed Ali; Kavian, Otared
28
2003
The convergence problem for dissipative autonomous systems. Classical methods and recent advances. Zbl 1345.37081
Haraux, Alain; Jendoubi, Mohamed Ali
26
2015
Estimations \(C^ 1\) pour des problèmes paraboliques semi-linéaires. Zbl 0531.35048
Haraux, A.; Kirane, M.
24
1983
Local and global smoothing effects for some linear hyperbolic equations with a strong dissipation. Zbl 1342.35184
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
21
2016
Almost-periodic forcing for a wave equation with a nonlinear local damping term. Zbl 0589.35076
Haraux, Alain
21
1983
Applications of the Łojasiewicz-Simon, gradient inequality to gradient-like evolution equations. Zbl 1192.34068
Chill, Ralph; Haraux, Alain; Jendoubi, Mohamed Ali
21
2009
Asymptotic behavior for an almost periodic, strongly dissipative wave equation. Zbl 0413.35011
Biroli, Marco; Haraux, Alain
19
1980
Convergence to a positive equilibrium for some nonlinear evolution equations in a ball. Zbl 0824.35011
Haraux, A.; Poláčik, P.
19
1992
Comportement à l’infini pour une équation d’ondes non linéaire dissipative. Zbl 0396.35065
Haraux, Alain
19
1978
The Łojasiewicz gradient inequality in the infinite-dimensional Hilbert space framework. Zbl 1222.47089
Haraux, Alain; Jendoubi, Mohamed Ali
19
2011
Recent results on semilinear hyperbolic problems in bounded domains. Zbl 0681.35058
Haraux, A.
18
1988
Comportement à l’infini pour certains systèmes dissipatifs non linéaires. Zbl 0429.35013
Haraux, A.
17
1979
Comportement a l’infini pour les equations d’evolution avec forcing periodique. Zbl 0382.47021
Baillon, J. B.; Haraux, A.
16
1977
A generalized internal control for the wave equation in a rectangle. Zbl 0719.49008
Haraux, Alain
16
1990
Propriétés oscillatoires des solutions de certaines équations des ondes semi-linéaires. (Oscillatory properties of the solutions to some semilinear wave equations). Zbl 0571.35074
Cazenave, Thierry; Haraux, Alain
14
1984
Asymptotic behavior for two-dimensional, quasi-autonomous, almost- periodic evolution equations. Zbl 0625.34051
Haraux, A.
14
1987
Decay rate of the range component of solutions to some semilinear evolution equations. Zbl 1133.35019
Haraux, A.
14
2006
Équations d’évolution non linéaires: Solutions bornées et périodiques. Zbl 0341.35071
Haraux, Alain
13
1978
Some oscillatory properties of the wave equation in several space dimensions. Zbl 0656.35099
Cazenave, Thierry; Haraux, Alain
12
1988
Oscillatory phenomena associated to semilinear wave equations in one spatial dimension. Zbl 0628.35058
Cazenave, T.; Haraux, A.
12
1987
Slow and fast decay of solutions to some second order evolution equations. Zbl 1089.34048
Haraux, Alain
11
2005
Asymptotic behavior of trajectories for some nonautonomous, almost periodic processes. Zbl 0476.34052
Haraux, A.
11
1983
On the convergence of global and bounded solutions of some evolution equations. Zbl 1145.35033
Haraux, A.; Jendoubi, M. A.
11
2007
Asymptotics for a second order differential equation with a linear, slowly time-decaying damping term. Zbl 1372.34084
Haraux, Alain; Jendoubi, Mohamed Ali
10
2013
Dissipativity in the sense of Levinson for a class of second-order nonlinear evolution equations. Zbl 0505.35012
Haraux, Alain
10
1982
Boundedness and stability for the damped and forced single well Duffing equation. Zbl 1269.34042
Fitouri, Cyrine; Haraux, Alain
10
2013
Compactness of trajectories to some nonlinear second order evolution equations and applications. Zbl 1288.34054
Aloui, Faouzia; Ben Hassen, Imen; Haraux, Alain
10
2013
Asymptotic stability for intermittently controlled second-order evolution equations. Zbl 1082.93050
Haraux, A.; Martinez, P.; Vancostenoble, J.
9
2005
Non-resonance for a strongly dissipative wave equation in higher dimensions. Zbl 0587.35063
Haraux, Alain
9
1985
Oscillations of anharmonic Fourier series and the wave equation. Zbl 0612.35077
Haraux, A.; Komornik, V.
9
1985
Pointwise and spectral control of plate vibrations. Zbl 0778.73045
Haraux, Alain; Jaffard, Stéphane
9
1991
On a second order dissipative ODE in Hilbert spaces with an integrable source term. Zbl 1265.34186
Haraux, Alain; Jendoubi, Mohamed Ali
9
2012
An optimal estimate for the time singular limit of an abstract wave equation. Zbl 1119.35342
Chill, Ralph; Haraux, Alain
9
2004
Nonlinear vibrations and the wave equation. Zbl 1403.35004
Haraux, Alain
8
2018
\(L^{p}\) estimates of solutions to some non-linear wave equations in one space dimension. Zbl 1190.35158
Haraux, Alain
8
2009
Analyticity and regularity for a class of second order evolution equations. Zbl 1262.35069
Haraux, Alain; Ôtani, Mitsuharu
8
2013
Optimal decay estimates for the general solution to a class of semi-linear dissipative hyperbolic equations. Zbl 1353.35061
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
7
2016
A new characterization of weak solutions to the damped wave equations. Zbl 0678.35070
Haraux, A.
7
1988
N-cyclic functions and multiple subharmonic solutions of Duffing’s equation. Zbl 1259.34031
Gasmi, Sana; Haraux, Alain
7
2012
Sharp estimates of bounded solutions to some semilinear second order dissipative equations. Zbl 1189.34111
Fitouri, Cyrine; Haraux, Alain
7
2009
Convergence and decay estimates for a class of second order dissipative equations involving a non-negative potential energy. Zbl 1248.34092
Ben Hassen, Imen; Haraux, Alain
7
2011
Some applications of the Łojasiewicz gradient inequality. Zbl 1280.34054
Haraux, Alain
7
2012
The remarkable effectiveness of time-dependent damping terms for second order evolution equations. Zbl 1338.35047
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
6
2016
Remarks on the wave equation with a nonlinear term with respect to the velocity. Zbl 0782.35042
Haraux, A.
6
1992
A class of nonlinear, completely integrable abstract wave equations. Zbl 0783.35003
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
6
1993
Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Zbl 0771.34038
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
6
1993
Asymptotics for some nonlinear O.D.E. of the second order. Zbl 0603.34032
Haraux, A.
6
1986
Contrôlabilité exacte d’une membrane rectangulaire au moyen d’une fonctionnelle analytique localisée. (Exact controllability of a rectangular membrane by means of a localized analytic functional). Zbl 0643.49029
Haraux, Alain
6
1988
Derivation dans les inéquations variationnelles. Zbl 0283.49002
Haraux, Alain
6
1974
An example of uniformly recurrent function which is not almost periodic. Zbl 1051.42008
Haraux, Alain; Souplet, Philippe
5
2004
Finding the exact decay rate of all solutions to some second order evolution equations with dissipation. Zbl 1353.35062
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
5
2016
On a completion problem in the theory of distribute control of wave equations. Zbl 0731.93056
Haraux, A.
5
1991
Un théorème de valeurs intermédiaires dans les espaces de Sobolev et application. (A mean value theorem in Sobolev spaces and applications). Zbl 0557.35055
Chabi, Amina; Haraux, Alain
5
1985
Super-solutions of eigenvalue problems and the oscillation properties of second order evolution equations. Zbl 0654.34018
Haraux, A.; Zuazua, E.
5
1988
An infinite dimensional Duffing-like evolution equation with linear dissipation and an asymptotically small source term. Zbl 1394.35291
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
5
2018
Quantization of energy and weakly turbulent profiles of solutions to some damped second-order evolution equations. Zbl 1418.35036
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
5
2019
Remarks on weak stabilization of semilinear wave equations. Zbl 0988.35029
Haraux, Alain
4
2001
Exponential decay and existence of almost periodic solutions for some linear forced differential equations. Zbl 1018.34049
Cieutat, Philippe; Haraux, Alain
4
2002
Global behavior of the solutions to a class of nonlinear, singular second order ODE. Zbl 1286.34073
Abdelli, Mama; Haraux, Alain
4
2014
Sharp ultimate bounds of solutions to a class of second order linear evolution equations with bounded forcing term. Zbl 1287.34026
Aloui, Faouzia; Haraux, Alain
4
2013
An alternative functional approach to exact controllability of reversible systems. Zbl 1065.93005
Haraux, A.
4
2004
A complete integrable wave equation with a cubic homogeneous nonlinearity. (Une équation des ondes complètement intégrable avec non- linéarité homogène de degré trois.) Zbl 0755.35009
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
4
1991
Positively homogeneous functions and the Łojasiewicz gradient inequality. Zbl 1101.26013
Haraux, Alain
4
2005
Damping out of transient states for some semilinear, quasi-autonomous systems of hyperbolic type. Zbl 0556.35093
Haraux, Alain
4
1983
Remarks on Hamiltonian systems. Zbl 0567.70016
Haraux, A.
4
1983
How to estimate observability constants of one-dimensional wave equations? Propagation versus spectral methods. Zbl 1377.35185
Haraux, Alain; Liard, Thibault; Privat, Yannick
4
2016
Equation de Schrödinger avec non-linearite logarithmique. Zbl 0406.35013
Cazenave, Thierry; Haraux, Alain
4
1979
Almost periodic motion of a string vibrating against a straight fixed obstacle. Zbl 0518.73053
Haraux, Alain; Cabannes, Henri
4
1983
Sharp decay estimates of the solutions to a class of nonlinear second order ODE’s. Zbl 1227.34052
Haraux, Alain
4
2011
Mouvements presque-périodiques d’une corde vibrante en presence d’un obstacle fixe, rectiligne ou ponctuel. Zbl 0474.73074
Cabannes, Henri; Haraux, Alain
4
1981
A description of all possible decay rates for solutions of some semilinear parabolic equations. Zbl 1403.35142
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
4
2015
Sharp estimates of bounded solutions to some second-order forced dissipative equations. Zbl 1146.34041
Haraux, Alain
4
2007
Some properties of lacunary series in the study of elastic vibrations. (Quelques propriétés des séries lacunaires utiles dans l’étude des vibrations élastiques.) Zbl 0805.35070
Haraux, A.
3
1994
Asymptotic behavior of solutions to some degenerate parabolic equations. Zbl 0781.35008
Haraux, Alain; Kenmochi, Nobuyuki
3
1991
The \(\varepsilon\)-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors. Zbl 1373.37170
Anguiano, María; Haraux, Alain
3
2017
Existence, uniqueness and global behavior of the solutions to some nonlinear vector equations in a finite dimensional Hilbert space. Zbl 1381.34033
Abdelli, Mama; Anguiano, María; Haraux, Alain
3
2017
On the Łojasiewicz exponents of quasi-homogeneous functions. Zbl 1316.14110
Haraux, Alain; Phạm, Tien Son
3
2015
Stability and multiplicity of periodic or almost periodic solutions to scalar first-order ODE. Zbl 1108.34316
Haraux, Alain
3
2006
Small perturbations for a Duffing-like evolution equation involving non-commuting operators. Zbl 1459.35039
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
1
2021
A sharp stability criterion for single well Duffing and Duffing-like equations. Zbl 1434.34050
Haraux, Alain
2
2020
Quantization of energy and weakly turbulent profiles of solutions to some damped second-order evolution equations. Zbl 1418.35036
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
5
2019
On the ultimate energy bound of solutions to some forced second-order evolution equations with a general nonlinear damping operator. Zbl 1423.34078
Haraux, Alain
2
2019
Some simple problems for the next generations. Zbl 1425.35002
Haraux, Alain
1
2019
The universal bound property for a class of second order ODEs. Zbl 1437.34019
Abdelli, Mama; Haraux, Alain
1
2019
Nonlinear vibrations and the wave equation. Zbl 1403.35004
Haraux, Alain
8
2018
An infinite dimensional Duffing-like evolution equation with linear dissipation and an asymptotically small source term. Zbl 1394.35291
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
5
2018
A concrete realization of the slow-fast alternative for a semilinear heat equation with homogeneous Neumann boundary conditions. Zbl 1393.35110
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
2
2018
The \(\varepsilon\)-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors. Zbl 1373.37170
Anguiano, María; Haraux, Alain
3
2017
Existence, uniqueness and global behavior of the solutions to some nonlinear vector equations in a finite dimensional Hilbert space. Zbl 1381.34033
Abdelli, Mama; Anguiano, María; Haraux, Alain
3
2017
Local and global smoothing effects for some linear hyperbolic equations with a strong dissipation. Zbl 1342.35184
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
21
2016
Optimal decay estimates for the general solution to a class of semi-linear dissipative hyperbolic equations. Zbl 1353.35061
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
7
2016
The remarkable effectiveness of time-dependent damping terms for second order evolution equations. Zbl 1338.35047
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
6
2016
Finding the exact decay rate of all solutions to some second order evolution equations with dissipation. Zbl 1353.35062
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
5
2016
How to estimate observability constants of one-dimensional wave equations? Propagation versus spectral methods. Zbl 1377.35185
Haraux, Alain; Liard, Thibault; Privat, Yannick
4
2016
A Liapunov function approach to the stabilization of second order coupled systems. Zbl 1362.35048
Haraux, Alain; Jendoubi, Mohamed Ali
3
2016
The convergence problem for dissipative autonomous systems. Classical methods and recent advances. Zbl 1345.37081
Haraux, Alain; Jendoubi, Mohamed Ali
26
2015
A description of all possible decay rates for solutions of some semilinear parabolic equations. Zbl 1403.35142
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
4
2015
On the Łojasiewicz exponents of quasi-homogeneous functions. Zbl 1316.14110
Haraux, Alain; Phạm, Tien Son
3
2015
On the strong oscillatory behavior of all solutions to some second order evolution equations. Zbl 1343.35150
Haraux, Alain
1
2015
Global behavior of the solutions to a class of nonlinear, singular second order ODE. Zbl 1286.34073
Abdelli, Mama; Haraux, Alain
4
2014
Asymptotics for a second order differential equation with a linear, slowly time-decaying damping term. Zbl 1372.34084
Haraux, Alain; Jendoubi, Mohamed Ali
10
2013
Boundedness and stability for the damped and forced single well Duffing equation. Zbl 1269.34042
Fitouri, Cyrine; Haraux, Alain
10
2013
Compactness of trajectories to some nonlinear second order evolution equations and applications. Zbl 1288.34054
Aloui, Faouzia; Ben Hassen, Imen; Haraux, Alain
10
2013
Analyticity and regularity for a class of second order evolution equations. Zbl 1262.35069
Haraux, Alain; Ôtani, Mitsuharu
8
2013
Sharp ultimate bounds of solutions to a class of second order linear evolution equations with bounded forcing term. Zbl 1287.34026
Aloui, Faouzia; Haraux, Alain
4
2013
Slow and fast decaying solutions to a critical semilinear parabolic equation. Zbl 1330.35229
Benarbi, Imen; Haraux, Alain
2
2013
On a second order dissipative ODE in Hilbert spaces with an integrable source term. Zbl 1265.34186
Haraux, Alain; Jendoubi, Mohamed Ali
9
2012
N-cyclic functions and multiple subharmonic solutions of Duffing’s equation. Zbl 1259.34031
Gasmi, Sana; Haraux, Alain
7
2012
Some applications of the Łojasiewicz gradient inequality. Zbl 1280.34054
Haraux, Alain
7
2012
A sufficient condition for slow decay of a solution to a semilinear parabolic equation. Zbl 1253.35016
Ben Arbi, I.; Haraux, A.
3
2012
The Łojasiewicz gradient inequality in the infinite-dimensional Hilbert space framework. Zbl 1222.47089
Haraux, Alain; Jendoubi, Mohamed Ali
19
2011
Convergence and decay estimates for a class of second order dissipative equations involving a non-negative potential energy. Zbl 1248.34092
Ben Hassen, Imen; Haraux, Alain
7
2011
Sharp decay estimates of the solutions to a class of nonlinear second order ODE’s. Zbl 1227.34052
Haraux, Alain
4
2011
On the fast solution of evolution equations with a rapidly decaying source term. Zbl 1227.34063
Haraux, Alain
2
2011
Applications of the Łojasiewicz-Simon, gradient inequality to gradient-like evolution equations. Zbl 1192.34068
Chill, Ralph; Haraux, Alain; Jendoubi, Mohamed Ali
21
2009
\(L^{p}\) estimates of solutions to some non-linear wave equations in one space dimension. Zbl 1190.35158
Haraux, Alain
8
2009
Sharp estimates of bounded solutions to some semilinear second order dissipative equations. Zbl 1189.34111
Fitouri, Cyrine; Haraux, Alain
7
2009
Sharp estimates of bounded solutions to a second-order forced equation with structural damping. Zbl 1184.34066
Haraux, Alain
1
2009
On the convergence of global and bounded solutions of some evolution equations. Zbl 1145.35033
Haraux, A.; Jendoubi, M. A.
11
2007
Sharp estimates of bounded solutions to some second-order forced dissipative equations. Zbl 1146.34041
Haraux, Alain
4
2007
Decay rate of the range component of solutions to some semilinear evolution equations. Zbl 1133.35019
Haraux, A.
14
2006
Stability and multiplicity of periodic or almost periodic solutions to scalar first-order ODE. Zbl 1108.34316
Haraux, Alain
3
2006
Slow and fast decay of solutions to some second order evolution equations. Zbl 1089.34048
Haraux, Alain
11
2005
Asymptotic stability for intermittently controlled second-order evolution equations. Zbl 1082.93050
Haraux, A.; Martinez, P.; Vancostenoble, J.
9
2005
Positively homogeneous functions and the Łojasiewicz gradient inequality. Zbl 1101.26013
Haraux, Alain
4
2005
An optimal estimate for the time singular limit of an abstract wave equation. Zbl 1119.35342
Chill, Ralph; Haraux, Alain
9
2004
An example of uniformly recurrent function which is not almost periodic. Zbl 1051.42008
Haraux, Alain; Souplet, Philippe
5
2004
An alternative functional approach to exact controllability of reversible systems. Zbl 1065.93005
Haraux, A.
4
2004
An optimal estimate for the difference of solutions of two abstract evolution equations. Zbl 1042.34090
Chill, Ralph; Haraux, Alain
37
2003
Rate of decay to equilibrium in some semilinear parabolic equations. Zbl 1036.35035
Haraux, Alain; Jendoubi, Mohamed Ali; Kavian, Otared
28
2003
Exponential decay and existence of almost periodic solutions for some linear forced differential equations. Zbl 1018.34049
Cieutat, Philippe; Haraux, Alain
4
2002
Decay estimates to equilibrium for some evolution equations with an analytic nonlinearity. Zbl 0993.35017
Haraux, A.; Jendoubi, M. A.
32
2001
Remarks on weak stabilization of semilinear wave equations. Zbl 0988.35029
Haraux, Alain
4
2001
A hyperbolic variant of Simon’s convergence theorem. Zbl 0977.35091
Haraux, Alain
2
2001
Some sharp estimates for parabolic equations. Zbl 0988.35038
Haraux, Alain
2
2001
On a class of second order ODE with a typical degenerate nonlinearity. Zbl 0987.34004
Haraux, A.; Yan, Q.
1
2001
Convergence of bounded weak solutions of the wave equation with dissipation and analytic nonlinearity. Zbl 0939.35122
Haraux, Alain; Jendoubi, Mohamed Ali
53
1999
The oscillation pattern of solutions to parabolic equations as time goes to infinity. Zbl 0962.35096
Comte, Myriam; Haraux, Alain
1
1999
An introduction to semilinear evolution equations. Transl. by Yvan Martel. Revised ed. Zbl 0926.35049
Cazenave, Thierry; Haraux, Alain
292
1998
Convergence of solutions to second-order gradient-like systems with analytic nonlinearities. Zbl 0915.34060
Haraux, A.; Jendoubi, M. A.
57
1998
Some properties of lacunary series in the study of elastic vibrations. (Quelques propriétés des séries lacunaires utiles dans l’étude des vibrations élastiques.) Zbl 0805.35070
Haraux, A.
3
1994
A class of nonlinear, completely integrable abstract wave equations. Zbl 0783.35003
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
6
1993
Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Zbl 0771.34038
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
6
1993
Exponentially stable positive solutions to a forced semilinear parabolic equation. Zbl 0797.35090
Haraux, A.
3
1993
Convergence to a positive equilibrium for some nonlinear evolution equations in a ball. Zbl 0824.35011
Haraux, A.; Poláčik, P.
19
1992
Remarks on the wave equation with a nonlinear term with respect to the velocity. Zbl 0782.35042
Haraux, A.
6
1992
Systèmes dynamiques dissipatifs et applications. (Dissipative dynamical systems and applications). Zbl 0726.58001
Haraux, Alain
172
1991
Pointwise and spectral control of plate vibrations. Zbl 0778.73045
Haraux, Alain; Jaffard, Stéphane
9
1991
On a completion problem in the theory of distribute control of wave equations. Zbl 0731.93056
Haraux, A.
5
1991
A complete integrable wave equation with a cubic homogeneous nonlinearity. (Une équation des ondes complètement intégrable avec non- linéarité homogène de degré trois.) Zbl 0755.35009
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
4
1991
Asymptotic behavior of solutions to some degenerate parabolic equations. Zbl 0781.35008
Haraux, Alain; Kenmochi, Nobuyuki
3
1991
On the vibration of rectangular plates. Zbl 0767.73041
Haraux, Alain; Komornik, Vilmos
2
1991
Introduction to semilinear evolution problems. (Introduction aux problèmes d’évolution semi-linéaires.) Zbl 0786.35070
Cazenave, Thierry; Haraux, Alain
70
1990
A generalized internal control for the wave equation in a rectangle. Zbl 0719.49008
Haraux, Alain
16
1990
Quelques méthodes et résultats récents en théorie de la contrôlabilité exacte. Zbl 0729.93012
Haraux, A.
2
1990
A remark on asymptotic behavior of periodic contraction processes. Zbl 0746.47030
Haraux, A.
1
1990
Une remarque sur la stabilisation de certains systèmes du deuxième ordre en temps. (A remark on the stabilization of certain time-dependent systems of second order). Zbl 0679.93063
Haraux, A.
72
1989
Séries lacunaires et contrôle semi-interne des vibrations d’une plaque rectangulaire. (Lacunary series and semi-internal control of vibrations of a rectangular plate). Zbl 0685.93039
Haraux, Alain
61
1989
Anti-periodic solutions of some nonlinear evolution equations. Zbl 0684.35010
Haraux, Alain
46
1989
Nonlinear effects in the wave equation with a cubic restoring force. Zbl 0697.65089
Cazenave, T.; Haraux, A.; Vazquez, L.; Weissler, F. B.
3
1989
Decay estimates for some semilinear damped hyperbolic problems. Zbl 0654.35070
Haraux, A.; Zuazua, E.
105
1988
Attractors of asymptotically compact processes and applications to nonlinear partial differential equations. Zbl 0676.35008
Haraux, Alain
41
1988
On a result of K. Masuda concerning reaction-diffusion equations. Zbl 0689.35041
Haraux, Alain; Youkana, Amar
30
1988
Recent results on semilinear hyperbolic problems in bounded domains. Zbl 0681.35058
Haraux, A.
18
1988
Some oscillatory properties of the wave equation in several space dimensions. Zbl 0656.35099
Cazenave, Thierry; Haraux, Alain
12
1988
A new characterization of weak solutions to the damped wave equations. Zbl 0678.35070
Haraux, A.
7
1988
Contrôlabilité exacte d’une membrane rectangulaire au moyen d’une fonctionnelle analytique localisée. (Exact controllability of a rectangular membrane by means of a localized analytic functional). Zbl 0643.49029
Haraux, Alain
6
1988
Super-solutions of eigenvalue problems and the oscillation properties of second order evolution equations. Zbl 0654.34018
Haraux, A.; Zuazua, E.
5
1988
Uniform decay and Lagrange stability for linear contraction semigroups. Zbl 0676.47020
Haraux, A.
3
1988
Oscillations in the wave equation. Zbl 0671.35054
Haraux, A.; Komornik, V.
1
1988
Semi-linear hyperbolic problems in bounded domains. Zbl 0875.35054
Haraux, Alain
45
1987
Asymptotic behavior for two-dimensional, quasi-autonomous, almost- periodic evolution equations. Zbl 0625.34051
Haraux, A.
14
1987
Oscillatory phenomena associated to semilinear wave equations in one spatial dimension. Zbl 0628.35058
Cazenave, T.; Haraux, A.
12
1987
A simple almost-periodicity criterion and applications. Zbl 0608.34049
Haraux, A.
2
1987
Asymptotics for some nonlinear O.D.E. of the second order. Zbl 0603.34032
Haraux, A.
6
1986
Asymptotics for some nonlinear hyperbolic equations with a one- dimensional set of rest points. Zbl 0637.35010
Haraux, A.
3
1986
Linear semigroups in Banach spaces. Zbl 0619.47034
Haraux, A.
2
1986
Recent results on semilinear wave equations with dissipation. Zbl 0617.35076
Haraux, A.
1
1986
...and 42 more Documents
all top 5

Cited by 1,925 Authors

68 Haraux, Alain
25 Zuazua, Enrique
21 Attouch, Hedy
20 Pata, Vittorino
19 Tcheugoué Tébou, Louis Roder
18 Komornik, Vilmos
18 Messaoudi, Salim A.
17 Ghisi, Marina
17 Gobbino, Massimo
15 Ammari, Kais
15 Cazenave, Thierry
15 Weissler, Fred B.
14 Ikehata, Ryo
14 Kirane, Mokhtar
13 Benaissa, Abbes
13 Feireisl, Eduard
13 Grasselli, Maurizio
13 Jendoubi, Mohamed Ali
13 Lasiecka, Irena
13 Loreti, Paola
12 Nakao, Mitsuhiro
12 Wu, Hao
11 Bauschke, Heinz H.
11 Cabot, Alexandre
11 Fino, Ahmad Z.
10 Chepyzhov, Vladimir V.
10 Furtado, Marcelo Fernandes
10 Mironchenko, Andrii
10 Pazoto, Ademir Fernando
10 Souplet, Philippe
9 Beauchard, Karine
9 Boţ, Radu Ioan
9 Carles, Rémi
9 Chen, Yuqing
9 Chill, Ralph
9 Ezzinbi, Khalil
9 Langa, Jose’ Antonio
9 Malanowski, Kazimierz D.
9 Nicaise, Serge
9 Riahi, Hassan
9 Sokołowski, Jan
9 Wakasugi, Yuta
8 Clark, Haroldo Rodrigues
8 Conti, Monica C.
8 Csetnek, Ernö Robert
8 Essebbar, Brahim
8 Hintermüller, Michael
8 Said-Houari, Belkacem
8 Sobajima, Motohiro
8 Wang, Shawn Xianfu
8 Yassine, Hassan
7 Bonnans, Joseph Frédéric
7 Charão, Ruy Coimbra
7 Goubet, Olivier
7 Jochmann, Frank
7 Khanmamedov, Azer Kh.
7 Laurençot, Philippe
7 Laurent, Camille
7 Li, Desheng
7 Liu, Wenjun
7 Micu, Sorin
7 Nieto Roig, Juan Jose
7 Nishihara, Kenji
7 Prieur, Christophe
7 Qi, Yuanwei
7 Robinson, James Cooper
7 Vishik, Marko Iosifovich
7 Wachsmuth, Gerd
7 Wang, Bixiang
7 Zhong, Chengkui
6 Abdelli, Mama
6 Aizicovici, Sergiu
6 Alabau-Boussouira, Fatiha
6 Algharabli, Mohammad M.
6 Cavalcanti, Marcelo Moreira
6 Chbani, Zaki
6 Dickstein, Flávio
6 Domingos Cavalcanti, Valéria Neves
6 Gal, Ciprian Gheorghe Sorin
6 Gazzola, Filippo
6 Hale, Jack Kenneth
6 Ikeda, Masahiro
6 Karachalios, Nikos I.
6 Kloeden, Peter Eris
6 László, Csaba Szilárd
6 Lizama, Carlos
6 Moursi, Walaa M.
6 Nolasco de Carvalho, Alexandre
6 Pierre, Michel
6 Pierre, Morgan
6 Poláčik, Peter
6 Raugel, Geneviève
6 Song, Haitao
6 Squassina, Marco
6 Tachim Medjo, Theodore
6 Tucsnak, Marius
6 Yanagida, Eiji
6 Ye, Yaojun
6 Zelik, Sergey V.
6 Zúñiga-Galindo, Wilson A.
...and 1,825 more Authors
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Cited in 304 Serials

165 Journal of Differential Equations
132 Journal of Mathematical Analysis and Applications
97 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
60 Nonlinear Analysis. Theory, Methods & Applications
50 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
32 Applied Mathematics and Optimization
32 Journal de Mathématiques Pures et Appliquées. Neuvième Série
31 Journal of Functional Analysis
27 Applicable Analysis
27 Evolution Equations and Control Theory
26 Journal of Dynamics and Differential Equations
26 Communications on Pure and Applied Analysis
25 Discrete and Continuous Dynamical Systems
24 Mathematical Methods in the Applied Sciences
23 SIAM Journal on Control and Optimization
23 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
23 Nonlinear Analysis. Real World Applications
20 Transactions of the American Mathematical Society
20 Communications in Partial Differential Equations
20 Journal of Evolution Equations
20 Discrete and Continuous Dynamical Systems. Series B
19 ZAMP. Zeitschrift für angewandte Mathematik und Physik
19 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
19 Calculus of Variations and Partial Differential Equations
17 Applied Mathematics and Computation
16 Journal of Mathematical Physics
16 Journal of Optimization Theory and Applications
16 Mathematical Programming. Series A. Series B
14 Applied Mathematics Letters
14 NoDEA. Nonlinear Differential Equations and Applications
14 Comptes Rendus. Mathématique. Académie des Sciences, Paris
14 Set-Valued and Variational Analysis
13 Systems & Control Letters
13 Discrete and Continuous Dynamical Systems. Series S
12 Archive for Rational Mechanics and Analysis
12 Computers & Mathematics with Applications
11 Proceedings of the American Mathematical Society
11 Optimization
11 SIAM Journal on Optimization
10 MCSS. Mathematics of Control, Signals, and Systems
10 SIAM Journal on Mathematical Analysis
10 Boundary Value Problems
9 Zeitschrift für Analysis und ihre Anwendungen
9 Mathematical and Computer Modelling
9 Journal of Convex Analysis
9 Mediterranean Journal of Mathematics
8 Mathematische Annalen
8 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
8 Asymptotic Analysis
8 Abstract and Applied Analysis
8 Mathematical Control and Related Fields
7 Communications in Mathematical Physics
7 Rocky Mountain Journal of Mathematics
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
7 Numerische Mathematik
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Communications in Contemporary Mathematics
6 Israel Journal of Mathematics
6 Quarterly of Applied Mathematics
6 Semigroup Forum
6 Acta Applicandae Mathematicae
6 Journal of Nonlinear Science
6 Journal of Dynamical and Control Systems
6 Analysis and Applications (Singapore)
6 Advances in Difference Equations
6 Advances in Nonlinear Analysis
5 Automatica
5 Journal of Computational and Applied Mathematics
5 Mathematische Zeitschrift
5 Numerical Functional Analysis and Optimization
5 Proceedings of the Japan Academy. Series A
5 Results in Mathematics
5 Journal of Integral Equations and Applications
5 Electronic Journal of Differential Equations (EJDE)
5 Annales Mathématiques Blaise Pascal
5 Journal of Inequalities and Applications
5 Portugaliae Mathematica. Nova Série
5 Journal of Hyperbolic Differential Equations
5 Electronic Research Archive
4 Journal d’Analyse Mathématique
4 Mathematical Notes
4 Nonlinearity
4 Manuscripta Mathematica
4 Mathematische Nachrichten
4 SIAM Journal on Numerical Analysis
4 Acta Mathematica Hungarica
4 Physica D
4 Applied Numerical Mathematics
4 Advances in Computational Mathematics
4 Journal of Difference Equations and Applications
4 European Journal of Control
4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
4 Optimization Letters
4 Networks and Heterogeneous Media
4 Advances in Mathematical Physics
4 Journal of Applied Analysis and Computation
4 AIMS Mathematics
3 International Journal of Control
...and 204 more Serials
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Cited in 52 Fields

1,332 Partial differential equations (35-XX)
273 Ordinary differential equations (34-XX)
267 Systems theory; control (93-XX)
232 Operator theory (47-XX)
184 Dynamical systems and ergodic theory (37-XX)
173 Mechanics of deformable solids (74-XX)
149 Calculus of variations and optimal control; optimization (49-XX)
119 Numerical analysis (65-XX)
101 Operations research, mathematical programming (90-XX)
72 Fluid mechanics (76-XX)
66 Functional analysis (46-XX)
51 Integral equations (45-XX)
46 Quantum theory (81-XX)
42 Biology and other natural sciences (92-XX)
41 Real functions (26-XX)
37 Global analysis, analysis on manifolds (58-XX)
36 Statistical mechanics, structure of matter (82-XX)
32 Probability theory and stochastic processes (60-XX)
18 Optics, electromagnetic theory (78-XX)
17 Mechanics of particles and systems (70-XX)
15 Harmonic analysis on Euclidean spaces (42-XX)
13 Classical thermodynamics, heat transfer (80-XX)
12 Difference and functional equations (39-XX)
12 Abstract harmonic analysis (43-XX)
10 Convex and discrete geometry (52-XX)
9 Differential geometry (53-XX)
8 Several complex variables and analytic spaces (32-XX)
7 Measure and integration (28-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Algebraic geometry (14-XX)
5 General topology (54-XX)
5 Algebraic topology (55-XX)
5 Geophysics (86-XX)
4 Approximations and expansions (41-XX)
4 Relativity and gravitational theory (83-XX)
3 History and biography (01-XX)
3 Combinatorics (05-XX)
3 Number theory (11-XX)
3 Functions of a complex variable (30-XX)
2 General and overarching topics; collections (00-XX)
2 Mathematical logic and foundations (03-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Potential theory (31-XX)
2 Statistics (62-XX)
2 Information and communication theory, circuits (94-XX)
1 Field theory and polynomials (12-XX)
1 Category theory; homological algebra (18-XX)
1 Topological groups, Lie groups (22-XX)
1 Special functions (33-XX)
1 Integral transforms, operational calculus (44-XX)
1 Manifolds and cell complexes (57-XX)
1 Computer science (68-XX)

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