Haraux, Alain

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 Author ID: 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 1,141 Co-Co-Authors
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Co-Authors

 72 single-authored 13 Cazenave, Thierry 11 Ghisi, Marina 11 Gobbino, Massimo 11 Jendoubi, Mohamed Ali 7 Weissler, Fred B. 3 Abdelli, Mama 3 Cabannes, Henri 3 Chill, Ralph 3 Komornik, Vilmos 3 Murat, François 2 Aloui, Faouzia 2 Anguiano, María 2 Ben Hassen, Imen 2 Benarbi, Imen 2 Biroli, Marco 2 Comte, Myriam 2 Fitouri, Cyrine 2 Kirane, Mokhtar 2 Ôtani, Mitsuharu 2 Phạm Tiên So’n 2 Zuazua, Enrique 1 Baillon, Jean-Bernard 1 Brézis, Haïm 1 Chabi, Amina 1 Cieutat, Philippe 1 Coron, Jean-Michel 1 Dias, João-Paulo 1 Figueira, Mário S. R. 1 Gasmi, Sana 1 Giraudo, Chiara 1 Jaffard, Stéphane 1 Kavian, Otared 1 Kenmochi, Nobuyuki 1 Khodja, Brahim 1 Liard, Thibault 1 Martinez, Patrick 1 Mironescu, Petru 1 Poláčik, Peter 1 Privat, Yannick 1 Saleh, Daad Abou 1 Souplet, Philippe 1 Vancostenoble, Judith 1 Youkana, Amar
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 Tohoku 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
all top 5

Fields

 109 Partial differential equations (35-XX) 46 Ordinary differential equations (34-XX) 23 Operator theory (47-XX) 12 Systems theory; control (93-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Mechanics of deformable solids (74-XX) 6 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Algebraic geometry (14-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX)

Citations contained in zbMATH Open

141 Publications have been cited 2,423 times in 1,793 Documents Cited by Year
An introduction to semilinear evolution equations. Transl. by Yvan Martel. Revised ed. Zbl 0926.35049
Cazenave, Thierry; Haraux, Alain
1998
Systèmes dynamiques dissipatifs et applications. (Dissipative dynamical systems and applications). Zbl 0726.58001
Haraux, Alain
1991
Non-uniqueness for a semilinear initial value problem. Zbl 0465.35049
Haraux, Alain; Weissler, Fred B.
1982
Nonlinear evolution equations - global behavior of solutions. Zbl 0461.35002
Haraux, Alain
1981
Decay estimates for some semilinear damped hyperbolic problems. Zbl 0654.35070
Haraux, A.; Zuazua, E.
1988
Equations d’évolution avec non linearite logarithmique. Zbl 0411.35051
Cazenave, Thierry; Haraux, Alain
1980
Image d’une somme d’opérateurs monotones et applications. Zbl 0323.47041
Brézis, Haïm; Haraux, Alain
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.
1989
How to differentiate the projection on a convex set in Hilbert space. Some applications to variational inequalities. Zbl 0387.46022
Haraux, A.
1977
Introduction to semilinear evolution problems. (Introduction aux problèmes d’évolution semi-linéaires.) Zbl 0786.35070
Cazenave, Thierry; Haraux, Alain
1990
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
1989
Convergence of solutions to second-order gradient-like systems with analytic nonlinearities. Zbl 0915.34060
Haraux, A.; Jendoubi, M. A.
1998
Convergence of bounded weak solutions of the wave equation with dissipation and analytic nonlinearity. Zbl 0939.35122
Haraux, Alain; Jendoubi, Mohamed Ali
1999
Two remarks on hyperbolic dissipative problems. Zbl 0579.35057
Haraux, A.
1985
Anti-periodic solutions of some nonlinear evolution equations. Zbl 0684.35010
Haraux, Alain
1989
Semi-linear hyperbolic problems in bounded domains. Zbl 0875.35054
Haraux, Alain
1987
Attractors of asymptotically compact processes and applications to nonlinear partial differential equations. Zbl 0676.35008
Haraux, Alain
1988
Stabilization of trajectories for some weakly damped hyperbolic equations. Zbl 0535.35006
Haraux, A.
1985
An optimal estimate for the difference of solutions of two abstract evolution equations. Zbl 1042.34090
Chill, Ralph; Haraux, Alain
2003
Large time behaviour of the solutions to some nonlinear evolution equations. Zbl 0583.35007
Haraux, A.
1985
Decay estimates to equilibrium for some evolution equations with an analytic nonlinearity. Zbl 0993.35017
Haraux, A.; Jendoubi, M. A.
2001
On a result of K. Masuda concerning reaction-diffusion equations. Zbl 0689.35041
Haraux, Alain; Youkana, Amar
1988
Rate of decay to equilibrium in some semilinear parabolic equations. Zbl 1036.35035
Haraux, Alain; Jendoubi, Mohamed Ali; Kavian, Otared
2003
The convergence problem for dissipative autonomous systems. Classical methods and recent advances. Zbl 1345.37081
Haraux, Alain; Jendoubi, Mohamed Ali
2015
Estimations $$C^ 1$$ pour des problèmes paraboliques semi-linéaires. Zbl 0531.35048
Haraux, A.; Kirane, M.
1983
Applications of the Łojasiewicz-Simon, gradient inequality to gradient-like evolution equations. Zbl 1192.34068
Chill, Ralph; Haraux, Alain; Jendoubi, Mohamed Ali
2009
Local and global smoothing effects for some linear hyperbolic equations with a strong dissipation. Zbl 1342.35184
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
2016
Almost-periodic forcing for a wave equation with a nonlinear local damping term. Zbl 0589.35076
Haraux, Alain
1983
The Łojasiewicz gradient inequality in the infinite-dimensional Hilbert space framework. Zbl 1222.47089
Haraux, Alain; Jendoubi, Mohamed Ali
2011
Comportement à l’infini pour une équation d’ondes non linéaire dissipative. Zbl 0396.35065
Haraux, Alain
1978
Asymptotic behavior for an almost periodic, strongly dissipative wave equation. Zbl 0413.35011
Biroli, Marco; Haraux, Alain
1980
Recent results on semilinear hyperbolic problems in bounded domains. Zbl 0681.35058
Haraux, A.
1988
Convergence to a positive equilibrium for some nonlinear evolution equations in a ball. Zbl 0824.35011
Haraux, A.; Poláčik, P.
1992
Comportement à l’infini pour certains systèmes dissipatifs non linéaires. Zbl 0429.35013
Haraux, A.
1979
Comportement a l’infini pour les equations d’evolution avec forcing periodique. Zbl 0382.47021
Baillon, J. B.; Haraux, A.
1977
A generalized internal control for the wave equation in a rectangle. Zbl 0719.49008
Haraux, Alain
1990
Asymptotic behavior for two-dimensional, quasi-autonomous, almost- periodic evolution equations. Zbl 0625.34051
Haraux, A.
1987
Decay rate of the range component of solutions to some semilinear evolution equations. Zbl 1133.35019
Haraux, A.
2006
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
1984
Équations d’évolution non linéaires: Solutions bornées et périodiques. Zbl 0341.35071
Haraux, Alain
1978
Oscillatory phenomena associated to semilinear wave equations in one spatial dimension. Zbl 0628.35058
Cazenave, T.; Haraux, A.
1987
Some oscillatory properties of the wave equation in several space dimensions. Zbl 0656.35099
Cazenave, Thierry; Haraux, Alain
1988
On the convergence of global and bounded solutions of some evolution equations. Zbl 1145.35033
Haraux, A.; Jendoubi, M. A.
2007
Slow and fast decay of solutions to some second order evolution equations. Zbl 1089.34048
Haraux, Alain
2005
Asymptotic behavior of trajectories for some nonautonomous, almost periodic processes. Zbl 0476.34052
Haraux, A.
1983
Asymptotics for a second order differential equation with a linear, slowly time-decaying damping term. Zbl 1372.34084
Haraux, Alain; Jendoubi, Mohamed Ali
2013
Compactness of trajectories to some nonlinear second order evolution equations and applications. Zbl 1288.34054
Aloui, Faouzia; Ben Hassen, Imen; Haraux, Alain
2013
Boundedness and stability for the damped and forced single well Duffing equation. Zbl 1269.34042
Fitouri, Cyrine; Haraux, Alain
2013
An optimal estimate for the time singular limit of an abstract wave equation. Zbl 1119.35342
Chill, Ralph; Haraux, Alain
2004
Asymptotic stability for intermittently controlled second-order evolution equations. Zbl 1082.93050
Haraux, A.; Martinez, P.; Vancostenoble, J.
2005
Non-resonance for a strongly dissipative wave equation in higher dimensions. Zbl 0587.35063
Haraux, Alain
1985
Oscillations of anharmonic Fourier series and the wave equation. Zbl 0612.35077
Haraux, A.; Komornik, V.
1985
Dissipativity in the sense of Levinson for a class of second-order nonlinear evolution equations. Zbl 0505.35012
Haraux, Alain
1982
Pointwise and spectral control of plate vibrations. Zbl 0778.73045
Haraux, Alain; Jaffard, Stéphane
1991
Analyticity and regularity for a class of second order evolution equations. Zbl 1262.35069
Haraux, Alain; Ôtani, Mitsuharu
2013
On a second order dissipative ODE in Hilbert spaces with an integrable source term. Zbl 1265.34186
Haraux, Alain; Jendoubi, Mohamed Ali
2012
$$L^{p}$$ estimates of solutions to some non-linear wave equations in one space dimension. Zbl 1190.35158
Haraux, Alain
2009
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
2016
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
2011
Nonlinear vibrations and the wave equation. Zbl 1403.35004
Haraux, Alain
2018
The remarkable effectiveness of time-dependent damping terms for second order evolution equations. Zbl 1338.35047
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
2016
Some applications of the Łojasiewicz gradient inequality. Zbl 1280.34054
Haraux, Alain
2012
Derivation dans les inéquations variationnelles. Zbl 0283.49002
Haraux, Alain
1974
N-cyclic functions and multiple subharmonic solutions of Duffing’s equation. Zbl 1259.34031
Gasmi, Sana; Haraux, Alain
2012
Remarks on the wave equation with a nonlinear term with respect to the velocity. Zbl 0782.35042
Haraux, A.
1992
Sharp estimates of bounded solutions to some semilinear second order dissipative equations. Zbl 1189.34111
Fitouri, Cyrine; Haraux, Alain
2009
Asymptotics for some nonlinear O.D.E. of the second order. Zbl 0603.34032
Haraux, A.
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
1988
A new characterization of weak solutions to the damped wave equations. Zbl 0678.35070
Haraux, A.
1988
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
1985
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
2016
A class of nonlinear, completely integrable abstract wave equations. Zbl 0783.35003
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
1993
Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Zbl 0771.34038
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
1993
On a completion problem in the theory of distribute control of wave equations. Zbl 0731.93056
Haraux, A.
1991
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
2019
Sharp decay estimates of the solutions to a class of nonlinear second order ODE’s. Zbl 1227.34052
Haraux, Alain
2011
Sharp estimates of bounded solutions to some second-order forced dissipative equations. Zbl 1146.34041
Haraux, Alain
2007
Global behavior of the solutions to a class of nonlinear, singular second order ODE. Zbl 1286.34073
Abdelli, Mama; Haraux, Alain
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
2013
An example of uniformly recurrent function which is not almost periodic. Zbl 1051.42008
Haraux, Alain; Souplet, Philippe
2004
An alternative functional approach to exact controllability of reversible systems. Zbl 1065.93005
Haraux, A.
2004
Remarks on Hamiltonian systems. Zbl 0567.70016
Haraux, A.
1983
Positively homogeneous functions and the Łojasiewicz gradient inequality. Zbl 1101.26013
Haraux, Alain
2005
Remarks on weak stabilization of semilinear wave equations. Zbl 0988.35029
Haraux, Alain
2001
Exponential decay and existence of almost periodic solutions for some linear forced differential equations. Zbl 1018.34049
Cieutat, Philippe; Haraux, Alain
2002
Equation de Schrödinger avec non-linearite logarithmique. Zbl 0406.35013
Cazenave, Thierry; Haraux, Alain
1979
Super-solutions of eigenvalue problems and the oscillation properties of second order evolution equations. Zbl 0654.34018
Haraux, A.; Zuazua, E.
1988
Almost periodic motion of a string vibrating against a straight fixed obstacle. Zbl 0518.73053
Haraux, Alain; Cabannes, Henri
1983
Damping out of transient states for some semilinear, quasi-autonomous systems of hyperbolic type. Zbl 0556.35093
Haraux, Alain
1983
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.
1991
Mouvements presque-périodiques d’une corde vibrante en presence d’un obstacle fixe, rectiligne ou ponctuel. Zbl 0474.73074
Cabannes, Henri; Haraux, Alain
1981
A description of all possible decay rates for solutions of some semilinear parabolic equations. Zbl 1403.35142
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
2015
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
2018
How to estimate observability constants of one-dimensional wave equations? Propagation versus spectral methods. Zbl 1377.35185
Haraux, Alain; Liard, Thibault; Privat, Yannick
2016
Exponentially stable positive solutions to a forced semilinear parabolic equation. Zbl 0797.35090
Haraux, A.
1993
Nonlinear effects in the wave equation with a cubic restoring force. Zbl 0697.65089
Cazenave, T.; Haraux, A.; Vazquez, L.; Weissler, F. B.
1989
A sufficient condition for slow decay of a solution to a semilinear parabolic equation. Zbl 1253.35016
Ben Arbi, I.; Haraux, A.
2012
Stability and multiplicity of periodic or almost periodic solutions to scalar first-order ODE. Zbl 1108.34316
Haraux, Alain
2006
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.
1994
Asymptotics for some nonlinear hyperbolic equations with a one- dimensional set of rest points. Zbl 0637.35010
Haraux, A.
1986
A sharp stability criterion for single well Duffing and Duffing-like equations. Zbl 1434.34050
Haraux, Alain
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
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
2019
The universal bound property for a class of second order ODEs. Zbl 1437.34019
Abdelli, Mama; Haraux, Alain
2019
Some simple problems for the next generations. Zbl 1425.35002
Haraux, Alain
2019
Nonlinear vibrations and the wave equation. Zbl 1403.35004
Haraux, Alain
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
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
2018
The $$\varepsilon$$-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors. Zbl 1373.37170
Anguiano, María; Haraux, Alain
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
2017
Local and global smoothing effects for some linear hyperbolic equations with a strong dissipation. Zbl 1342.35184
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
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
2016
The remarkable effectiveness of time-dependent damping terms for second order evolution equations. Zbl 1338.35047
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
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
2016
How to estimate observability constants of one-dimensional wave equations? Propagation versus spectral methods. Zbl 1377.35185
Haraux, Alain; Liard, Thibault; Privat, Yannick
2016
A Liapunov function approach to the stabilization of second order coupled systems. Zbl 1362.35048
Haraux, Alain; Jendoubi, Mohamed Ali
2016
The convergence problem for dissipative autonomous systems. Classical methods and recent advances. Zbl 1345.37081
Haraux, Alain; Jendoubi, Mohamed Ali
2015
A description of all possible decay rates for solutions of some semilinear parabolic equations. Zbl 1403.35142
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain
2015
On the Łojasiewicz exponents of quasi-homogeneous functions. Zbl 1316.14110
Haraux, Alain; Phạm, Tien Son
2015
On the strong oscillatory behavior of all solutions to some second order evolution equations. Zbl 1343.35150
Haraux, Alain
2015
Global behavior of the solutions to a class of nonlinear, singular second order ODE. Zbl 1286.34073
Abdelli, Mama; Haraux, Alain
2014
Asymptotics for a second order differential equation with a linear, slowly time-decaying damping term. Zbl 1372.34084
Haraux, Alain; Jendoubi, Mohamed Ali
2013
Compactness of trajectories to some nonlinear second order evolution equations and applications. Zbl 1288.34054
Aloui, Faouzia; Ben Hassen, Imen; Haraux, Alain
2013
Boundedness and stability for the damped and forced single well Duffing equation. Zbl 1269.34042
Fitouri, Cyrine; Haraux, Alain
2013
Analyticity and regularity for a class of second order evolution equations. Zbl 1262.35069
Haraux, Alain; Ôtani, Mitsuharu
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
2013
Slow and fast decaying solutions to a critical semilinear parabolic equation. Zbl 1330.35229
Benarbi, Imen; Haraux, Alain
2013
On a second order dissipative ODE in Hilbert spaces with an integrable source term. Zbl 1265.34186
Haraux, Alain; Jendoubi, Mohamed Ali
2012
Some applications of the Łojasiewicz gradient inequality. Zbl 1280.34054
Haraux, Alain
2012
N-cyclic functions and multiple subharmonic solutions of Duffing’s equation. Zbl 1259.34031
Gasmi, Sana; Haraux, Alain
2012
A sufficient condition for slow decay of a solution to a semilinear parabolic equation. Zbl 1253.35016
Ben Arbi, I.; Haraux, A.
2012
The Łojasiewicz gradient inequality in the infinite-dimensional Hilbert space framework. Zbl 1222.47089
Haraux, Alain; Jendoubi, Mohamed Ali
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
2011
Sharp decay estimates of the solutions to a class of nonlinear second order ODE’s. Zbl 1227.34052
Haraux, Alain
2011
On the fast solution of evolution equations with a rapidly decaying source term. Zbl 1227.34063
Haraux, Alain
2011
Applications of the Łojasiewicz-Simon, gradient inequality to gradient-like evolution equations. Zbl 1192.34068
Chill, Ralph; Haraux, Alain; Jendoubi, Mohamed Ali
2009
$$L^{p}$$ estimates of solutions to some non-linear wave equations in one space dimension. Zbl 1190.35158
Haraux, Alain
2009
Sharp estimates of bounded solutions to some semilinear second order dissipative equations. Zbl 1189.34111
Fitouri, Cyrine; Haraux, Alain
2009
Sharp estimates of bounded solutions to a second-order forced equation with structural damping. Zbl 1184.34066
Haraux, Alain
2009
On the convergence of global and bounded solutions of some evolution equations. Zbl 1145.35033
Haraux, A.; Jendoubi, M. A.
2007
Sharp estimates of bounded solutions to some second-order forced dissipative equations. Zbl 1146.34041
Haraux, Alain
2007
Decay rate of the range component of solutions to some semilinear evolution equations. Zbl 1133.35019
Haraux, A.
2006
Stability and multiplicity of periodic or almost periodic solutions to scalar first-order ODE. Zbl 1108.34316
Haraux, Alain
2006
Slow and fast decay of solutions to some second order evolution equations. Zbl 1089.34048
Haraux, Alain
2005
Asymptotic stability for intermittently controlled second-order evolution equations. Zbl 1082.93050
Haraux, A.; Martinez, P.; Vancostenoble, J.
2005
Positively homogeneous functions and the Łojasiewicz gradient inequality. Zbl 1101.26013
Haraux, Alain
2005
An optimal estimate for the time singular limit of an abstract wave equation. Zbl 1119.35342
Chill, Ralph; Haraux, Alain
2004
An example of uniformly recurrent function which is not almost periodic. Zbl 1051.42008
Haraux, Alain; Souplet, Philippe
2004
An alternative functional approach to exact controllability of reversible systems. Zbl 1065.93005
Haraux, A.
2004
An optimal estimate for the difference of solutions of two abstract evolution equations. Zbl 1042.34090
Chill, Ralph; Haraux, Alain
2003
Rate of decay to equilibrium in some semilinear parabolic equations. Zbl 1036.35035
Haraux, Alain; Jendoubi, Mohamed Ali; Kavian, Otared
2003
Exponential decay and existence of almost periodic solutions for some linear forced differential equations. Zbl 1018.34049
Cieutat, Philippe; Haraux, Alain
2002
Decay estimates to equilibrium for some evolution equations with an analytic nonlinearity. Zbl 0993.35017
Haraux, A.; Jendoubi, M. A.
2001
Remarks on weak stabilization of semilinear wave equations. Zbl 0988.35029
Haraux, Alain
2001
A hyperbolic variant of Simon’s convergence theorem. Zbl 0977.35091
Haraux, Alain
2001
On a class of second order ODE with a typical degenerate nonlinearity. Zbl 0987.34004
Haraux, A.; Yan, Q.
2001
Some sharp estimates for parabolic equations. Zbl 0988.35038
Haraux, Alain
2001
Convergence of bounded weak solutions of the wave equation with dissipation and analytic nonlinearity. Zbl 0939.35122
Haraux, Alain; Jendoubi, Mohamed Ali
1999
The oscillation pattern of solutions to parabolic equations as time goes to infinity. Zbl 0962.35096
Comte, Myriam; Haraux, Alain
1999
An introduction to semilinear evolution equations. Transl. by Yvan Martel. Revised ed. Zbl 0926.35049
Cazenave, Thierry; Haraux, Alain
1998
Convergence of solutions to second-order gradient-like systems with analytic nonlinearities. Zbl 0915.34060
Haraux, A.; Jendoubi, M. A.
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.
1994
A class of nonlinear, completely integrable abstract wave equations. Zbl 0783.35003
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
1993
Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Zbl 0771.34038
Cazenave, Thierry; Haraux, Alain; Weissler, Fred B.
1993
Exponentially stable positive solutions to a forced semilinear parabolic equation. Zbl 0797.35090
Haraux, A.
1993
Convergence to a positive equilibrium for some nonlinear evolution equations in a ball. Zbl 0824.35011
Haraux, A.; Poláčik, P.
1992
Remarks on the wave equation with a nonlinear term with respect to the velocity. Zbl 0782.35042
Haraux, A.
1992
Systèmes dynamiques dissipatifs et applications. (Dissipative dynamical systems and applications). Zbl 0726.58001
Haraux, Alain
1991
Pointwise and spectral control of plate vibrations. Zbl 0778.73045
Haraux, Alain; Jaffard, Stéphane
1991
On a completion problem in the theory of distribute control of wave equations. Zbl 0731.93056
Haraux, A.
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.
1991
Asymptotic behavior of solutions to some degenerate parabolic equations. Zbl 0781.35008
Haraux, Alain; Kenmochi, Nobuyuki
1991
On the vibration of rectangular plates. Zbl 0767.73041
Haraux, Alain; Komornik, Vilmos
1991
Introduction to semilinear evolution problems. (Introduction aux problèmes d’évolution semi-linéaires.) Zbl 0786.35070
Cazenave, Thierry; Haraux, Alain
1990
A generalized internal control for the wave equation in a rectangle. Zbl 0719.49008
Haraux, Alain
1990
Quelques méthodes et résultats récents en théorie de la contrôlabilité exacte. Zbl 0729.93012
Haraux, A.
1990
A remark on asymptotic behavior of periodic contraction processes. Zbl 0746.47030
Haraux, A.
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.
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
1989
Anti-periodic solutions of some nonlinear evolution equations. Zbl 0684.35010
Haraux, Alain
1989
Nonlinear effects in the wave equation with a cubic restoring force. Zbl 0697.65089
Cazenave, T.; Haraux, A.; Vazquez, L.; Weissler, F. B.
1989
Decay estimates for some semilinear damped hyperbolic problems. Zbl 0654.35070
Haraux, A.; Zuazua, E.
1988
Attractors of asymptotically compact processes and applications to nonlinear partial differential equations. Zbl 0676.35008
Haraux, Alain
1988
On a result of K. Masuda concerning reaction-diffusion equations. Zbl 0689.35041
Haraux, Alain; Youkana, Amar
1988
Recent results on semilinear hyperbolic problems in bounded domains. Zbl 0681.35058
Haraux, A.
1988
Some oscillatory properties of the wave equation in several space dimensions. Zbl 0656.35099
Cazenave, Thierry; Haraux, Alain
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
1988
A new characterization of weak solutions to the damped wave equations. Zbl 0678.35070
Haraux, A.
1988
Super-solutions of eigenvalue problems and the oscillation properties of second order evolution equations. Zbl 0654.34018
Haraux, A.; Zuazua, E.
1988
Uniform decay and Lagrange stability for linear contraction semigroups. Zbl 0676.47020
Haraux, A.
1988
Oscillations in the wave equation. Zbl 0671.35054
Haraux, A.; Komornik, V.
1988
Semi-linear hyperbolic problems in bounded domains. Zbl 0875.35054
Haraux, Alain
1987
Asymptotic behavior for two-dimensional, quasi-autonomous, almost- periodic evolution equations. Zbl 0625.34051
Haraux, A.
1987
Oscillatory phenomena associated to semilinear wave equations in one spatial dimension. Zbl 0628.35058
Cazenave, T.; Haraux, A.
1987
A simple almost-periodicity criterion and applications. Zbl 0608.34049
Haraux, A.
1987
Asymptotics for some nonlinear O.D.E. of the second order. Zbl 0603.34032
Haraux, A.
1986
Asymptotics for some nonlinear hyperbolic equations with a one- dimensional set of rest points. Zbl 0637.35010
Haraux, A.
1986
Linear semigroups in Banach spaces. Zbl 0619.47034
Haraux, A.
1986
Recent results on semilinear wave equations with dissipation. Zbl 0617.35076
Haraux, A.
1986
Two remarks on hyperbolic dissipative problems. Zbl 0579.35057
Haraux, A.
1985
...and 41 more Documents
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Cited by 1,856 Authors

 68 Haraux, Alain 25 Zuazua, Enrique 21 Attouch, Hedy 20 Pata, Vittorino 18 Komornik, Vilmos 18 Tcheugoué Tébou, Louis Roder 17 Ghisi, Marina 17 Gobbino, Massimo 16 Messaoudi, Salim A. 15 Ammari, Kais 15 Cazenave, Thierry 15 Weissler, Fred B. 14 Ikehata, Ryo 13 Jendoubi, Mohamed Ali 13 Kirane, Mokhtar 13 Lasiecka, Irena 13 Loreti, Paola 12 Feireisl, Eduard 12 Grasselli, Maurizio 12 Nakao, Mitsuhiro 12 Wu, Hao 11 Bauschke, Heinz H. 11 Benaissa, Abbes 11 Cabot, Alexandre 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 Fino, Ahmad Z. 9 Langa, Jose’ Antonio 9 Malanowski, Kazimierz D. 9 Nicaise, Serge 9 Riahi, Hassan 9 Sokołowski, Jan 9 Wakasugi, Yuta 8 Conti, Monica C. 8 Csetnek, Ernö Robert 8 Ezzinbi, Khalil 8 Said-Houari, Belkacem 8 Sobajima, Motohiro 8 Wang, Shawn Xianfu 7 Bonnans, Joseph Frédéric 7 Charão, Ruy Coimbra 7 Clark, Haroldo Rodrigues 7 Essebbar, Brahim 7 Goubet, Olivier 7 Hintermüller, Michael 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 Qi, Yuanwei 7 Robinson, James Cooper 7 Vishik, Marko Iosifovich 7 Wachsmuth, Gerd 7 Wang, Bixiang 7 Yassine, Hassan 7 Zhong, Chengkui 6 Abdelli, Mama 6 Aizicovici, Sergiu 6 Alabau-Boussouira, Fatiha 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 Poláčik, Peter 6 Prieur, Christophe 6 Song, Haitao 6 Squassina, Marco 6 Tachim Medjo, Theodore 6 Yanagida, Eiji 6 Ye, Yaojun 6 Zelik, Sergey V. 6 Zúñiga-Galindo, Wilson A. 5 Algharabli, Mohammad M. 5 Andres, Jan 5 Hernandez Ardila, Alex 5 Bolte, Jérôme 5 Caraballo Garrido, Tomás ...and 1,756 more Authors
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Cited in 297 Serials

 163 Journal of Differential Equations 131 Journal of Mathematical Analysis and Applications 97 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 60 Nonlinear Analysis. Theory, Methods & Applications 48 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 31 Applied Mathematics and Optimization 31 Journal of Functional Analysis 31 Journal de Mathématiques Pures et Appliquées. Neuvième Série 26 Communications on Pure and Applied Analysis 26 Evolution Equations and Control Theory 25 Journal of Dynamics and Differential Equations 25 Discrete and Continuous Dynamical Systems 24 Mathematical Methods in the Applied Sciences 23 Applicable Analysis 23 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 22 SIAM Journal on Control and Optimization 22 Nonlinear Analysis. Real World Applications 20 Transactions of the American Mathematical Society 19 Communications in Partial Differential Equations 19 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 19 Journal of Evolution Equations 18 Calculus of Variations and Partial Differential Equations 18 Discrete and Continuous Dynamical Systems. Series B 17 ZAMP. Zeitschrift für angewandte Mathematik und Physik 17 Applied Mathematics and Computation 16 Journal of Mathematical Physics 16 Mathematical Programming. Series A. Series B 15 Journal of Optimization Theory and Applications 14 Applied Mathematics Letters 14 NoDEA. Nonlinear Differential Equations and Applications 13 Systems & Control Letters 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 13 Discrete and Continuous Dynamical Systems. Series S 12 Archive for Rational Mechanics and Analysis 12 Computers & Mathematics with Applications 12 Set-Valued and Variational Analysis 11 Proceedings of the American Mathematical Society 10 Optimization 10 MCSS. Mathematics of Control, Signals, and Systems 10 SIAM Journal on Mathematical Analysis 10 SIAM Journal on Optimization 10 Boundary Value Problems 9 Zeitschrift für Analysis und ihre Anwendungen 9 Mathematical and Computer Modelling 9 Journal of Convex Analysis 8 Mathematische Annalen 8 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 8 Abstract and Applied Analysis 8 Mediterranean Journal of Mathematics 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 Asymptotic Analysis 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 Analysis and Applications (Singapore) 6 Advances in Difference Equations 6 Advances in Nonlinear Analysis 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 Annales Mathématiques Blaise Pascal 5 Journal of Inequalities and Applications 5 Journal of Dynamical and Control Systems 5 Portugaliae Mathematica. Nova Série 5 Journal of Hyperbolic Differential Equations 5 Electronic Research Archive 4 Journal d’Analyse Mathématique 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 Networks and Heterogeneous Media 4 Advances in Mathematical Physics 4 Journal of Applied Analysis and Computation 3 Mathematical Notes 3 Advances in Mathematics 3 Automatica 3 Czechoslovak Mathematical Journal 3 Duke Mathematical Journal 3 Journal of the Mathematical Society of Japan ...and 197 more Serials
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Cited in 52 Fields

 1,293 Partial differential equations (35-XX) 268 Ordinary differential equations (34-XX) 253 Systems theory; control (93-XX) 223 Operator theory (47-XX) 177 Dynamical systems and ergodic theory (37-XX) 164 Mechanics of deformable solids (74-XX) 146 Calculus of variations and optimal control; optimization (49-XX) 109 Numerical analysis (65-XX) 95 Operations research, mathematical programming (90-XX) 68 Fluid mechanics (76-XX) 63 Functional analysis (46-XX) 48 Integral equations (45-XX) 45 Quantum theory (81-XX) 42 Biology and other natural sciences (92-XX) 40 Real functions (26-XX) 37 Global analysis, analysis on manifolds (58-XX) 35 Statistical mechanics, structure of matter (82-XX) 31 Probability theory and stochastic processes (60-XX) 18 Mechanics of particles and systems (70-XX) 17 Optics, electromagnetic theory (78-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 12 Difference and functional equations (39-XX) 12 Classical thermodynamics, heat transfer (80-XX) 10 Abstract harmonic analysis (43-XX) 10 Convex and discrete geometry (52-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Differential geometry (53-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 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 Combinatorics (05-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)