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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/
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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
5 Evolution Equations and Control Theory
4 Analysis and Applications (Singapore)
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
1 Recherches en Mathématiques Appliquées

Publications by Year

Citations contained in zbMATH Open

146 Publications have been cited 2,786 times in 2,073 Documents Cited by Year
An introduction to semilinear evolution equations. Transl. by Yvan Martel. Revised ed. Zbl 0926.35049
Cazenave, Thierry; Haraux, Alain
353
1998
Systèmes dynamiques dissipatifs et applications. (Dissipative dynamical systems and applications). Zbl 0726.58001
Haraux, Alain
196
1991
Non-uniqueness for a semilinear initial value problem. Zbl 0465.35049
Haraux, Alain; Weissler, Fred B.
144
1982
Nonlinear evolution equations - global behavior of solutions. Zbl 0461.35002
Haraux, Alain
117
1981
Decay estimates for some semilinear damped hyperbolic problems. Zbl 0654.35070
Haraux, A.; Zuazua, E.
110
1988
Equations d’évolution avec non linearite logarithmique. Zbl 0411.35051
Cazenave, Thierry; Haraux, Alain
109
1980
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.
82
1989
Image d’une somme d’opérateurs monotones et applications. Zbl 0323.47041
Brézis, Haïm; Haraux, Alain
75
1976
How to differentiate the projection on a convex set in Hilbert space. Some applications to variational inequalities. Zbl 0387.46022
Haraux, A.
75
1977
Introduction to semilinear evolution problems. (Introduction aux problèmes d’évolution semi-linéaires.) Zbl 0786.35070
Cazenave, Thierry; Haraux, Alain
75
1990
Convergence of solutions to second-order gradient-like systems with analytic nonlinearities. Zbl 0915.34060
Haraux, A.; Jendoubi, M. A.
67
1998
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
66
1989
Two remarks on hyperbolic dissipative problems. Zbl 0579.35057
Haraux, A.
56
1985
Convergence of bounded weak solutions of the wave equation with dissipation and analytic nonlinearity. Zbl 0939.35122
Haraux, Alain; Jendoubi, Mohamed Ali
54
1999
Anti-periodic solutions of some nonlinear evolution equations. Zbl 0684.35010
Haraux, Alain
48
1989
Semi-linear hyperbolic problems in bounded domains. Zbl 0875.35054
Haraux, Alain
47
1987
Stabilization of trajectories for some weakly damped hyperbolic equations. Zbl 0535.35006
Haraux, A.
47
1985
Attractors of asymptotically compact processes and applications to nonlinear partial differential equations. Zbl 0676.35008
Haraux, Alain
43
1988
An optimal estimate for the difference of solutions of two abstract evolution equations. Zbl 1042.34090
Chill, Ralph; Haraux, Alain
39
2003
The convergence problem for dissipative autonomous systems. Classical methods and recent advances. Zbl 1345.37081
Haraux, Alain; Jendoubi, Mohamed Ali
37
2015
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.
34
2001
On a result of K. Masuda concerning reaction-diffusion equations. Zbl 0689.35041
Haraux, Alain; Youkana, Amar
31
1988
Rate of decay to equilibrium in some semilinear parabolic equations. Zbl 1036.35035
Haraux, Alain; Jendoubi, Mohamed Ali; Kavian, Otared
29
2003
Local and global smoothing effects for some linear hyperbolic equations with a strong dissipation. Zbl 1342.35184
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
27
2016
Estimations \(C^ 1\) pour des problèmes paraboliques semi-linéaires. Zbl 0531.35048
Haraux, A.; Kirane, M.
26
1983
Applications of the Łojasiewicz-Simon, gradient inequality to gradient-like evolution equations. Zbl 1192.34068
Chill, Ralph; Haraux, Alain; Jendoubi, Mohamed Ali
24
2009
Almost-periodic forcing for a wave equation with a nonlinear local damping term. Zbl 0589.35076
Haraux, Alain
21
1983
Recent results on semilinear hyperbolic problems in bounded domains. Zbl 0681.35058
Haraux, A.
21
1988
Convergence to a positive equilibrium for some nonlinear evolution equations in a ball. Zbl 0824.35011
Haraux, A.; Poláčik, P.
20
1992
The Łojasiewicz gradient inequality in the infinite-dimensional Hilbert space framework. Zbl 1222.47089
Haraux, Alain; Jendoubi, Mohamed Ali
20
2011
Comportement à l’infini pour une équation d’ondes non linéaire dissipative. Zbl 0396.35065
Haraux, Alain
20
1978
Asymptotic behavior for an almost periodic, strongly dissipative wave equation. Zbl 0413.35011
Biroli, Marco; Haraux, Alain
20
1980
Comportement à l’infini pour certains systèmes dissipatifs non linéaires. Zbl 0429.35013
Haraux, A.
18
1979
A generalized internal control for the wave equation in a rectangle. Zbl 0719.49008
Haraux, Alain
18
1990
Comportement a l’infini pour les equations d’evolution avec forcing periodique. Zbl 0382.47021
Baillon, J. B.; Haraux, A.
17
1977
Asymptotic behavior for two-dimensional, quasi-autonomous, almost- periodic evolution equations. Zbl 0625.34051
Haraux, A.
16
1987
Équations d’évolution non linéaires: Solutions bornées et périodiques. Zbl 0341.35071
Haraux, Alain
15
1978
Decay rate of the range component of solutions to some semilinear evolution equations. Zbl 1133.35019
Haraux, A.
14
2006
Asymptotic behavior of trajectories for some nonautonomous, almost periodic processes. Zbl 0476.34052
Haraux, A.
14
1983
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
Asymptotics for a second order differential equation with a linear, slowly time-decaying damping term. Zbl 1372.34084
Haraux, Alain; Jendoubi, Mohamed Ali
14
2013
Slow and fast decay of solutions to some second order evolution equations. Zbl 1089.34048
Haraux, Alain
12
2005
Compactness of trajectories to some nonlinear second order evolution equations and applications. Zbl 1288.34054
Aloui, Faouzia; Ben Hassen, Imen; Haraux, Alain
12
2013
Oscillatory phenomena associated to semilinear wave equations in one spatial dimension. Zbl 0628.35058
Cazenave, T.; Haraux, A.
12
1987
Some oscillatory properties of the wave equation in several space dimensions. Zbl 0656.35099
Cazenave, Thierry; Haraux, Alain
12
1988
On a second order dissipative ODE in Hilbert spaces with an integrable source term. Zbl 1265.34186
Haraux, Alain; Jendoubi, Mohamed Ali
12
2012
On the convergence of global and bounded solutions of some evolution equations. Zbl 1145.35033
Haraux, A.; Jendoubi, M. A.
12
2007
An optimal estimate for the time singular limit of an abstract wave equation. Zbl 1119.35342
Chill, Ralph; Haraux, Alain
11
2004
Boundedness and stability for the damped and forced single well Duffing equation. Zbl 1269.34042
Fitouri, Cyrine; Haraux, Alain
11
2013
Nonlinear vibrations and the wave equation. Zbl 1403.35004
Haraux, Alain
11
2018
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
10
2016
Asymptotic stability for intermittently controlled second-order evolution equations. Zbl 1082.93050
Haraux, A.; Martinez, P.; Vancostenoble, J.
10
2005
Dissipativity in the sense of Levinson for a class of second-order nonlinear evolution equations. Zbl 0505.35012
Haraux, Alain
10
1982
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
\(L^{p}\) estimates of solutions to some non-linear wave equations in one space dimension. Zbl 1190.35158
Haraux, Alain
9
2009
Pointwise and spectral control of plate vibrations. Zbl 0778.73045
Haraux, Alain; Jaffard, Stéphane
9
1991
Some applications of the Łojasiewicz gradient inequality. Zbl 1280.34054
Haraux, Alain
9
2012
The remarkable effectiveness of time-dependent damping terms for second order evolution equations. Zbl 1338.35047
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
8
2016
An example of uniformly recurrent function which is not almost periodic. Zbl 1051.42008
Haraux, Alain; Souplet, Philippe
8
2004
A new characterization of weak solutions to the damped wave equations. Zbl 0678.35070
Haraux, A.
8
1988
On a completion problem in the theory of distribute control of wave equations. Zbl 0731.93056
Haraux, A.
8
1991
N-cyclic functions and multiple subharmonic solutions of Duffing’s equation. Zbl 1259.34031
Gasmi, Sana; Haraux, Alain
8
2012
Analyticity and regularity for a class of second order evolution equations. Zbl 1262.35069
Haraux, Alain; Ôtani, Mitsuharu
8
2013
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
A class of nonlinear, completely integrable abstract wave equations. Zbl 0783.35003
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
7
1993
Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Zbl 0771.34038
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
7
1993
Sharp estimates of bounded solutions to some semilinear second order dissipative equations. Zbl 1189.34111
Fitouri, Cyrine; Haraux, Alain
7
2009
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
6
2016
Asymptotics for some nonlinear O.D.E. of the second order. Zbl 0603.34032
Haraux, A.
6
1986
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
6
2018
Remarks on the wave equation with a nonlinear term with respect to the velocity. Zbl 0782.35042
Haraux, A.
6
1992
Equation de Schrödinger avec non-linearite logarithmique. Zbl 0406.35013
Cazenave, Thierry; Haraux, Alain
6
1979
Derivation dans les inéquations variationnelles. Zbl 0283.49002
Haraux, Alain
6
1974
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
6
1985
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
A description of all possible decay rates for solutions of some semilinear parabolic equations. Zbl 1403.35142
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
5
2015
Sharp decay estimates of the solutions to a class of nonlinear second order ODE’s. Zbl 1227.34052
Haraux, Alain
5
2011
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
Damping out of transient states for some semilinear, quasi-autonomous systems of hyperbolic type. Zbl 0556.35093
Haraux, Alain
5
1983
Exponential decay and existence of almost periodic solutions for some linear forced differential equations. Zbl 1018.34049
Cieutat, Philippe; Haraux, Alain
5
2002
Super-solutions of eigenvalue problems and the oscillation properties of second order evolution equations. Zbl 0654.34018
Haraux, A.; Zuazua, E.
5
1988
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
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
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 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
Almost periodic motion of a string vibrating against a straight fixed obstacle. Zbl 0518.73053
Haraux, Alain; Cabannes, Henri
4
1983
Remarks on Hamiltonian systems. Zbl 0567.70016
Haraux, A.
4
1983
Remarks on weak stabilization of semilinear wave equations. Zbl 0988.35029
Haraux, Alain
4
2001
An alternative functional approach to exact controllability of reversible systems. Zbl 1065.93005
Haraux, A.
4
2004
Sharp estimates of bounded solutions to some second-order forced dissipative equations. Zbl 1146.34041
Haraux, Alain
4
2007
Positively homogeneous functions and the Łojasiewicz gradient inequality. Zbl 1101.26013
Haraux, Alain
4
2005
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
3
2018
Asymptotics for some nonlinear hyperbolic equations with a one- dimensional set of rest points. Zbl 0637.35010
Haraux, A.
3
1986
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
A Liapunov function approach to the stabilization of second order coupled systems. Zbl 1362.35048
Haraux, Alain; Jendoubi, Mohamed Ali
3
2016
The \(\varepsilon\)-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors. Zbl 1373.37170
Anguiano, María; Haraux, Alain
3
2017
On the Łojasiewicz exponents of quasi-homogeneous functions. Zbl 1316.14110
Haraux, Alain; Phạm, Tien Son
3
2015
Small perturbations for a Duffing-like evolution equation involving non-commuting operators. Zbl 1459.35039
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
2
2021
On some damped 2 body problems. Zbl 1469.34071
Haraux, Alain
2
2021
A sharp stability criterion for single well Duffing and Duffing-like equations. Zbl 1434.34050
Haraux, Alain
2
2020
Universal bounds for a class of second order evolution equations and applications. Zbl 1448.35045
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
1
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
11
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
6
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
3
2018
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
The \(\varepsilon\)-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors. Zbl 1373.37170
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
27
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
10
2016
The remarkable effectiveness of time-dependent damping terms for second order evolution equations. Zbl 1338.35047
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
8
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
6
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
37
2015
A description of all possible decay rates for solutions of some semilinear parabolic equations. Zbl 1403.35142
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
5
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
14
2013
Compactness of trajectories to some nonlinear second order evolution equations and applications. Zbl 1288.34054
Aloui, Faouzia; Ben Hassen, Imen; Haraux, Alain
12
2013
Boundedness and stability for the damped and forced single well Duffing equation. Zbl 1269.34042
Fitouri, Cyrine; Haraux, Alain
11
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
12
2012
Some applications of the Łojasiewicz gradient inequality. Zbl 1280.34054
Haraux, Alain
9
2012
N-cyclic functions and multiple subharmonic solutions of Duffing’s equation. Zbl 1259.34031
Gasmi, Sana; Haraux, Alain
8
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
20
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
5
2011
On the fast solution of evolution equations with a rapidly decaying source term. Zbl 1227.34063
Haraux, Alain
2
2011
On the gradient of quasi-homogeneous polynomials. Zbl 1279.14070
Haraux, Alain; Pham, Tien Son
1
2011
Applications of the Łojasiewicz-Simon, gradient inequality to gradient-like evolution equations. Zbl 1192.34068
Chill, Ralph; Haraux, Alain; Jendoubi, Mohamed Ali
24
2009
\(L^{p}\) estimates of solutions to some non-linear wave equations in one space dimension. Zbl 1190.35158
Haraux, Alain
9
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.
12
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
12
2005
Asymptotic stability for intermittently controlled second-order evolution equations. Zbl 1082.93050
Haraux, A.; Martinez, P.; Vancostenoble, J.
10
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
11
2004
An example of uniformly recurrent function which is not almost periodic. Zbl 1051.42008
Haraux, Alain; Souplet, Philippe
8
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
39
2003
Rate of decay to equilibrium in some semilinear parabolic equations. Zbl 1036.35035
Haraux, Alain; Jendoubi, Mohamed Ali; Kavian, Otared
29
2003
Exponential decay and existence of almost periodic solutions for some linear forced differential equations. Zbl 1018.34049
Cieutat, Philippe; Haraux, Alain
5
2002
Decay estimates to equilibrium for some evolution equations with an analytic nonlinearity. Zbl 0993.35017
Haraux, A.; Jendoubi, M. A.
34
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
54
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
353
1998
Convergence of solutions to second-order gradient-like systems with analytic nonlinearities. Zbl 0915.34060
Haraux, A.; Jendoubi, M. A.
67
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.
7
1993
Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Zbl 0771.34038
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
7
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.
20
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
196
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.
8
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
75
1990
A generalized internal control for the wave equation in a rectangle. Zbl 0719.49008
Haraux, Alain
18
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.
82
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
66
1989
Anti-periodic solutions of some nonlinear evolution equations. Zbl 0684.35010
Haraux, Alain
48
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.
110
1988
Attractors of asymptotically compact processes and applications to nonlinear partial differential equations. Zbl 0676.35008
Haraux, Alain
43
1988
On a result of K. Masuda concerning reaction-diffusion equations. Zbl 0689.35041
Haraux, Alain; Youkana, Amar
31
1988
Recent results on semilinear hyperbolic problems in bounded domains. Zbl 0681.35058
Haraux, A.
21
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.
8
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
47
1987
Asymptotic behavior for two-dimensional, quasi-autonomous, almost- periodic evolution equations. Zbl 0625.34051
Haraux, A.
16
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.
3
1987
Sur les trajectoires compactes de systèmes dynamiques autonomes. (On the compact trajectories of autonomous dynamical systems). Zbl 0645.54035
Haraux, A.
1
1987
...and 46 more Documents
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Cited by 2,201 Authors

69 Haraux, Alain
30 Zuazua, Enrique
27 Attouch, Hedy
20 Pata, Vittorino
19 Ikehata, Ryo
19 Komornik, Vilmos
19 Tcheugoué Tébou, Louis Roder
18 Ghisi, Marina
18 Gobbino, Massimo
17 Messaoudi, Salim A.
16 Cazenave, Thierry
16 Kirane, Mokhtar
15 Ammari, Kais
15 Lasiecka, Irena
15 Weissler, Fred B.
15 Wu, Hao
14 Jendoubi, Mohamed Ali
13 Benaissa, Abbes
13 Feireisl, Eduard
13 Grasselli, Maurizio
13 Loreti, Paola
13 Nakao, Mitsuhiro
12 Fino, Ahmad Z.
12 Sobajima, Motohiro
12 Souplet, Philippe
11 Bauschke, Heinz H.
11 Carles, Rémi
11 Pazoto, Ademir Fernando
10 Boţ, Radu Ioan
10 Chepyzhov, Vladimir V.
10 Ezzinbi, Khalil
10 Furtado, Marcelo Fernandes
10 Mironchenko, Andrii
10 Nicaise, Serge
10 Riahi, Hassan
10 Wakasugi, Yuta
9 Beauchard, Karine
9 Charão, Ruy Coimbra
9 Chen, Yuqing
9 Chill, Ralph
9 Csetnek, Ernö Robert
9 Essebbar, Brahim
9 Hintermüller, Michael
9 Langa, Jose’ Antonio
9 Malanowski, Kazimierz D.
9 Prieur, Christophe
9 Sokołowski, Jan
9 Wang, Shawn Xianfu
8 Algharabli, Mohammad M.
8 Clark, Haroldo Rodrigues
8 Conti, Monica C.
8 Goubet, Olivier
8 Laurençot, Philippe
8 Liu, Wenjun
8 Pierre, Morgan
8 Rao, Bopeng
8 Said-Houari, Belkacem
8 Tucsnak, Marius
8 Vishik, Marko Iosifovich
8 Wachsmuth, Gerd
8 Yassine, Hassan
8 Zhong, Chengkui
7 Bonnans, Joseph Frédéric
7 Cabot, Alexandre
7 Christof, Constantin
7 Fang, Yaping
7 Gazzola, Filippo
7 Ha, Seung-Yeal
7 Hu, Rong
7 Ikeda, Masahiro
7 Jochmann, Frank
7 Karachalios, Nikos I.
7 Khanmamedov, Azer Kh.
7 Kostić, Marko
7 Laurent, Camille
7 Li, Desheng
7 Lizama, Carlos
7 Micu, Sorin
7 Nieto Roig, Juan Jose
7 Nishihara, Kenji
7 Qi, Yuanwei
7 Robinson, James Cooper
7 Wang, Bixiang
6 Abdelli, Mama
6 Abdelmalek, Salem
6 Aizicovici, Sergiu
6 Alabau-Boussouira, Fatiha
6 Alphonse, Amal
6 Cavalcanti, Marcelo Moreira
6 Chbani, Zaki
6 Díaz Díaz, Jesús Ildefonso
6 Dickstein, Flávio
6 Domingos Cavalcanti, Valéria Neves
6 Ervedoza, Sylvain
6 Ferriere, Guillaume
6 Fragnelli, Genni
6 Gal, Ciprian Gheorghe Sorin
6 Hale, Jack Kenneth
6 Kloeden, Peter Eris
6 László, Csaba Szilárd
...and 2,101 more Authors
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Cited in 334 Serials

174 Journal of Differential Equations
144 Journal of Mathematical Analysis and Applications
106 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
60 Nonlinear Analysis. Theory, Methods & Applications
52 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
36 Evolution Equations and Control Theory
35 Applied Mathematics and Optimization
33 Journal of Functional Analysis
33 Journal de Mathématiques Pures et Appliquées. Neuvième Série
31 Applicable Analysis
30 Mathematical Methods in the Applied Sciences
28 SIAM Journal on Control and Optimization
28 Communications on Pure and Applied Analysis
27 Nonlinear Analysis. Real World Applications
26 Journal of Dynamics and Differential Equations
26 Journal of Evolution Equations
25 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
25 Discrete and Continuous Dynamical Systems
21 Communications in Partial Differential Equations
21 Discrete and Continuous Dynamical Systems. Series B
20 Transactions of the American Mathematical Society
19 Journal of Mathematical Physics
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
18 Applied Mathematics and Computation
18 Mathematical Programming. Series A. Series B
16 Journal of Optimization Theory and Applications
16 Applied Mathematics Letters
15 Systems & Control Letters
15 Comptes Rendus. Mathématique. Académie des Sciences, Paris
14 NoDEA. Nonlinear Differential Equations and Applications
14 Discrete and Continuous Dynamical Systems. Series S
14 Set-Valued and Variational Analysis
13 Archive for Rational Mechanics and Analysis
13 Asymptotic Analysis
13 MCSS. Mathematics of Control, Signals, and Systems
12 Computers & Mathematics with Applications
12 Optimization
12 SIAM Journal on Mathematical Analysis
12 SIAM Journal on Optimization
12 Boundary Value Problems
11 Proceedings of the American Mathematical Society
10 Mediterranean Journal of Mathematics
10 Mathematical Control and Related Fields
9 Israel Journal of Mathematics
9 Zeitschrift für Analysis und ihre Anwendungen
9 Mathematical and Computer Modelling
9 Electronic Journal of Differential Equations (EJDE)
9 Journal of Convex Analysis
9 Abstract and Applied Analysis
9 Communications in Contemporary Mathematics
8 Communications in Mathematical Physics
8 Journal of Computational and Applied Mathematics
8 Mathematische Annalen
8 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Nonlinearity
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 Mathematische Nachrichten
7 Numerische Mathematik
7 Journal of Integral Equations and Applications
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Journal of Dynamical and Control Systems
7 Advances in Nonlinear Analysis
7 Electronic Research Archive
6 Journal d’Analyse Mathématique
6 Automatica
6 Quarterly of Applied Mathematics
6 Rendiconti del Circolo Matemàtico di Palermo. Serie II
6 Results in Mathematics
6 Semigroup Forum
6 Acta Applicandae Mathematicae
6 Journal of Nonlinear Science
6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
6 Analysis and Applications (Singapore)
6 Advances in Difference Equations
5 Mathematische Zeitschrift
5 Numerical Functional Analysis and Optimization
5 Proceedings of the Japan Academy. Series A
5 SIAM Journal on Numerical Analysis
5 Chinese Annals of Mathematics. Series B
5 Physica D
5 Journal of Mathematical Sciences (New York)
5 Annales Mathématiques Blaise Pascal
5 Journal of Inequalities and Applications
5 Fractional Calculus & Applied Analysis
5 Portugaliae Mathematica. Nova Série
5 Journal of Hyperbolic Differential Equations
5 Optimization Letters
4 Mathematical Notes
4 Manuscripta Mathematica
4 Acta Mathematica Hungarica
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
...and 234 more Serials
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Cited in 53 Fields

1,488 Partial differential equations (35-XX)
309 Ordinary differential equations (34-XX)
304 Systems theory; control (93-XX)
271 Operator theory (47-XX)
210 Dynamical systems and ergodic theory (37-XX)
193 Mechanics of deformable solids (74-XX)
166 Calculus of variations and optimal control; optimization (49-XX)
141 Numerical analysis (65-XX)
120 Operations research, mathematical programming (90-XX)
84 Fluid mechanics (76-XX)
78 Functional analysis (46-XX)
55 Integral equations (45-XX)
54 Quantum theory (81-XX)
49 Biology and other natural sciences (92-XX)
46 Real functions (26-XX)
42 Global analysis, analysis on manifolds (58-XX)
41 Statistical mechanics, structure of matter (82-XX)
38 Probability theory and stochastic processes (60-XX)
23 Optics, electromagnetic theory (78-XX)
21 Mechanics of particles and systems (70-XX)
20 Harmonic analysis on Euclidean spaces (42-XX)
17 Classical thermodynamics, heat transfer (80-XX)
16 Difference and functional equations (39-XX)
16 Abstract harmonic analysis (43-XX)
10 Measure and integration (28-XX)
10 Convex and discrete geometry (52-XX)
9 Differential geometry (53-XX)
8 Several complex variables and analytic spaces (32-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Geophysics (86-XX)
5 Algebraic geometry (14-XX)
5 Approximations and expansions (41-XX)
5 General topology (54-XX)
5 Algebraic topology (55-XX)
5 Relativity and gravitational theory (83-XX)
4 Combinatorics (05-XX)
4 Potential theory (31-XX)
4 Special functions (33-XX)
3 History and biography (01-XX)
3 Number theory (11-XX)
3 Functions of a complex variable (30-XX)
3 Statistics (62-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 Manifolds and cell complexes (57-XX)
1 Field theory and polynomials (12-XX)
1 Category theory; homological algebra (18-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Integral transforms, operational calculus (44-XX)
1 Computer science (68-XX)
1 Information and communication theory, circuits (94-XX)

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