Edit Profile (opens in new tab) Haraux, Alain Co-Author Distance 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: 167 Publications since 1974, including 7 Books and 4 Additional arXiv Preprints Co-Authors: 45 Co-Authors with 91 Joint Publications 1,286 Co-Co-Authors all top 5 Co-Authors 76 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 3 Ôtani, Mitsuharu 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 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 Tcheugoué Tébou, Louis Roder 1 Vancostenoble, Judith 1 Yan, Qingxu 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 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 all top 5 Fields 110 Partial differential equations (35-XX) 48 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) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 146 Publications have been cited 2,890 times in 2,158 Documents Cited by ▼ Year ▼ An introduction to semilinear evolution equations. Transl. by Yvan Martel. Revised ed. Zbl 0926.35049 Cazenave, Thierry; Haraux, Alain 382 1998 Systèmes dynamiques dissipatifs et applications. (Dissipative dynamical systems and applications). Zbl 0726.58001 Haraux, Alain 218 1991 Non-uniqueness for a semilinear initial value problem. Zbl 0465.35049 Haraux, Alain; Weissler, Fred B. 149 1982 Nonlinear evolution equations - global behavior of solutions. Zbl 0461.35002 Haraux, Alain 118 1981 Equations d’évolution avec non linearite logarithmique. Zbl 0411.35051 Cazenave, Thierry; Haraux, Alain 116 1980 Decay estimates for some semilinear damped hyperbolic problems. Zbl 0654.35070 Haraux, A.; Zuazua, E. 110 1988 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. 84 1989 Introduction to semilinear evolution problems. (Introduction aux problèmes d’évolution semi-linéaires.) Zbl 0786.35070 Cazenave, Thierry; Haraux, Alain 78 1990 How to differentiate the projection on a convex set in Hilbert space. Some applications to variational inequalities. Zbl 0387.46022 Haraux, A. 77 1977 Image d’une somme d’opérateurs monotones et applications. Zbl 0323.47041 Brézis, Haïm; Haraux, Alain 75 1976 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 68 1989 Convergence of solutions to second-order gradient-like systems with analytic nonlinearities. Zbl 0915.34060 Haraux, A.; Jendoubi, M. A. 68 1998 Two remarks on hyperbolic dissipative problems. Zbl 0579.35057 Haraux, A. 57 1985 Convergence of bounded weak solutions of the wave equation with dissipation and analytic nonlinearity. Zbl 0939.35122 Haraux, Alain; Jendoubi, Mohamed Ali 55 1999 Anti-periodic solutions of some nonlinear evolution equations. Zbl 0684.35010 Haraux, Alain 48 1989 Stabilization of trajectories for some weakly damped hyperbolic equations. Zbl 0535.35006 Haraux, A. 48 1985 Semi-linear hyperbolic problems in bounded domains. Zbl 0875.35054 Haraux, Alain 47 1987 Attractors of asymptotically compact processes and applications to nonlinear partial differential equations. Zbl 0676.35008 Haraux, Alain 44 1988 The convergence problem for dissipative autonomous systems. Classical methods and recent advances. Zbl 1345.37081 Haraux, Alain; Jendoubi, Mohamed Ali 41 2015 An optimal estimate for the difference of solutions of two abstract evolution equations. Zbl 1042.34090 Chill, Ralph; Haraux, Alain 40 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. 34 2001 On a result of K. Masuda concerning reaction-diffusion equations. Zbl 0689.35041 Haraux, Alain; Youkana, Amar 32 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 28 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 The Łojasiewicz gradient inequality in the infinite-dimensional Hilbert space framework. Zbl 1222.47089 Haraux, Alain; Jendoubi, Mohamed Ali 23 2011 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. 21 1992 Almost-periodic forcing for a wave equation with a nonlinear local damping term. Zbl 0589.35076 Haraux, Alain 21 1983 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 A generalized internal control for the wave equation in a rectangle. Zbl 0719.49008 Haraux, Alain 18 1990 Comportement à l’infini pour certains systèmes dissipatifs non linéaires. Zbl 0429.35013 Haraux, A. 18 1979 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 16 1978 Decay rate of the range component of solutions to some semilinear evolution equations. Zbl 1133.35019 Haraux, A. 15 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 14 1984 Asymptotic behavior of trajectories for some nonautonomous, almost periodic processes. Zbl 0476.34052 Haraux, A. 14 1983 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 On a second order dissipative ODE in Hilbert spaces with an integrable source term. Zbl 1265.34186 Haraux, Alain; Jendoubi, Mohamed Ali 14 2012 Compactness of trajectories to some nonlinear second order evolution equations and applications. Zbl 1288.34054 Aloui, Faouzia; Ben Hassen, Imen; Haraux, Alain 13 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 Slow and fast decay of solutions to some second order evolution equations. Zbl 1089.34048 Haraux, Alain 12 2005 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 Asymptotic stability for intermittently controlled second-order evolution equations. Zbl 1082.93050 Haraux, A.; Martinez, P.; Vancostenoble, J. 11 2005 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 11 2016 Boundedness and stability for the damped and forced single well Duffing equation. Zbl 1269.34042 Fitouri, Cyrine; Haraux, Alain 11 2013 Dissipativity in the sense of Levinson for a class of second-order nonlinear evolution equations. Zbl 0505.35012 Haraux, Alain 10 1982 \(L^{p}\) estimates of solutions to some non-linear wave equations in one space dimension. Zbl 1190.35158 Haraux, Alain 9 2009 An example of uniformly recurrent function which is not almost periodic. Zbl 1051.42008 Haraux, Alain; Souplet, Philippe 9 2004 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 On a completion problem in the theory of distribute control of wave equations. Zbl 0731.93056 Haraux, A. 9 1991 Pointwise and spectral control of plate vibrations. Zbl 0778.73045 Haraux, Alain; Jaffard, Stéphane 9 1991 Analyticity and regularity for a class of second order evolution equations. Zbl 1262.35069 Haraux, Alain; Ôtani, Mitsuharu 9 2013 Some applications of the Łojasiewicz gradient inequality. Zbl 1280.34054 Haraux, Alain 9 2012 A new characterization of weak solutions to the damped wave equations. Zbl 0678.35070 Haraux, A. 8 1988 N-cyclic functions and multiple subharmonic solutions of Duffing’s equation. Zbl 1259.34031 Gasmi, Sana; Haraux, Alain 8 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 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 estimates of bounded solutions to some semilinear second order dissipative equations. Zbl 1189.34111 Fitouri, Cyrine; Haraux, Alain 7 2009 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 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 7 2016 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 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 Sharp decay estimates of the solutions to a class of nonlinear second order ODE’s. Zbl 1227.34052 Haraux, Alain 6 2011 Derivation dans les inéquations variationnelles. Zbl 0283.49002 Haraux, Alain 6 1974 Asymptotics for some nonlinear O.D.E. of the second order. Zbl 0603.34032 Haraux, A. 6 1986 Equation de Schrödinger avec non-linearite logarithmique. Zbl 0406.35013 Cazenave, Thierry; Haraux, Alain 6 1979 Remarks on the wave equation with a nonlinear term with respect to the velocity. Zbl 0782.35042 Haraux, A. 6 1992 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 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 6 2019 Super-solutions of eigenvalue problems and the oscillation properties of second order evolution equations. Zbl 0654.34018 Haraux, A.; Zuazua, E. 5 1988 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 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 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 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 Remarks on weak stabilization of semilinear wave equations. Zbl 0988.35029 Haraux, Alain 4 2001 Positively homogeneous functions and the Łojasiewicz gradient inequality. Zbl 1101.26013 Haraux, Alain 4 2005 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 Sharp estimates of bounded solutions to some second-order forced dissipative equations. Zbl 1146.34041 Haraux, Alain 4 2007 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 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 Asymptotics for some nonlinear hyperbolic equations with a one- dimensional set of rest points. Zbl 0637.35010 Haraux, A. 3 1986 Uniform decay and Lagrange stability for linear contraction semigroups. Zbl 0676.47020 Haraux, A. 3 1988 A sufficient condition for slow decay of a solution to a semilinear parabolic equation. Zbl 1253.35016 Ben Arbi, I.; Haraux, A. 3 2012 Stability and multiplicity of periodic or almost periodic solutions to scalar first-order ODE. Zbl 1108.34316 Haraux, Alain 3 2006 A simple almost-periodicity criterion and applications. Zbl 0608.34049 Haraux, A. 3 1987 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 On some damped 2 body problems. Zbl 1469.34071 Haraux, Alain 3 2021 Small perturbations for a Duffing-like evolution equation involving non-commuting operators. Zbl 1459.35039 Ghisi, Marina; Gobbino, Massimo; 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 6 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 3 2019 The universal bound property for a class of second order ODEs. Zbl 1437.34019 Abdelli, Mama; Haraux, Alain 1 2019 Some simple problems for the next generations. Zbl 1425.35002 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 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 28 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 11 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 7 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 41 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 13 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 9 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 14 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 23 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 6 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. 15 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. 11 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 9 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 40 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 55 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 382 1998 Convergence of solutions to second-order gradient-like systems with analytic nonlinearities. Zbl 0915.34060 Haraux, A.; Jendoubi, M. A. 68 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. 21 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 218 1991 On a completion problem in the theory of distribute control of wave equations. Zbl 0731.93056 Haraux, A. 9 1991 Pointwise and spectral control of plate vibrations. Zbl 0778.73045 Haraux, Alain; Jaffard, Stéphane 9 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 78 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. 84 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 68 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 44 1988 On a result of K. Masuda concerning reaction-diffusion equations. Zbl 0689.35041 Haraux, Alain; Youkana, Amar 32 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 all cited Publications top 5 cited Publications all top 5 Cited by 2,272 Authors 69 Haraux, Alain 30 Zuazua, Enrique 29 Attouch, Hedy 20 Pata, Vittorino 20 Tcheugoué Tébou, Louis Roder 19 Ikehata, Ryo 19 Komornik, Vilmos 18 Ghisi, Marina 18 Gobbino, Massimo 18 Messaoudi, Salim A. 16 Ammari, Kais 16 Cazenave, Thierry 16 Kirane, Mokhtar 15 Lasiecka, Irena 15 Weissler, Fred B. 15 Wu, Hao 14 Grasselli, Maurizio 14 Jendoubi, Mohamed Ali 13 Benaissa, Abbes 13 Feireisl, Eduard 13 Fino, Ahmad Z. 13 Loreti, Paola 13 Nakao, Mitsuhiro 13 Sobajima, Motohiro 12 Carles, Rémi 12 Riahi, Hassan 12 Souplet, Philippe 11 Bauschke, Heinz H. 11 Boţ, Radu Ioan 11 Cabot, Alexandre 11 Chepyzhov, Vladimir V. 11 Ezzinbi, Khalil 11 Pazoto, Ademir Fernando 11 Wakasugi, Yuta 10 Chbani, Zaki 10 Furtado, Marcelo Fernandes 10 Mironchenko, Andrii 10 Nicaise, Serge 10 Wachsmuth, Gerd 9 Beauchard, Karine 9 Charão, Ruy Coimbra 9 Chen, Yuqing 9 Chill, Ralph 9 Csetnek, Ernö Robert 9 Essebbar, Brahim 9 Fang, Yaping 9 Hintermüller, Michael 9 Hu, Rong 9 Langa, Jose’ Antonio 9 Malanowski, Kazimierz D. 9 Prieur, Christophe 9 Rao, Bopeng 9 Sokołowski, Jan 9 Wang, Shawn Xianfu 9 Zhong, Chengkui 8 Algharabli, Mohammad M. 8 Christof, Constantin 8 Clark, Haroldo Rodrigues 8 Conti, Monica C. 8 Goubet, Olivier 8 Ikeda, Masahiro 8 Karachalios, Nikos I. 8 Kostić, Marko 8 Laurençot, Philippe 8 Laurent, Camille 8 Liu, Wenjun 8 Münch, Arnaud 8 Pierre, Morgan 8 Piṣkin, Erhan 8 Said-Houari, Belkacem 8 Tucsnak, Marius 8 Vishik, Marko Iosifovich 8 Yassine, Hassan 7 Bonnans, Joseph Frédéric 7 Ervedoza, Sylvain 7 Gazzola, Filippo 7 Ha, Seung-Yeal 7 Jochmann, Frank 7 Khanmamedov, Azer Kh. 7 Li, Desheng 7 Li, Tatsien 7 Lizama, Carlos 7 Micu, Sorin 7 Nieto Roig, Juan Jose 7 Nishihara, Kenji 7 Qi, Yuanwei 7 Robinson, James Cooper 7 Wang, Bixiang 7 Zelik, Sergey V. 7 Zúñiga-Galindo, Wilson A. 6 Abdelli, Mama 6 Abdelmalek, Salem 6 Adly, Samir 6 Aizicovici, Sergiu 6 Alabau-Boussouira, Fatiha 6 Alphonse, Amal 6 Cavalcanti, Marcelo Moreira 6 Díaz Díaz, Jesús Ildefonso 6 Dickstein, Flávio 6 Domingos Cavalcanti, Valéria Neves ...and 2,172 more Authors all top 5 Cited in 342 Serials 174 Journal of Differential Equations 147 Journal of Mathematical Analysis and Applications 107 Nonlinear Analysis. 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Nova Série 5 Journal of Hyperbolic Differential Equations 5 Optimization Letters 4 Journal of Statistical Physics 4 Mathematical Notes 4 Journal of the Mathematical Society of Japan 4 Manuscripta Mathematica 4 Acta Mathematica Hungarica 4 Applied Numerical Mathematics 4 Turkish Journal of Mathematics ...and 242 more Serials all top 5 Cited in 53 Fields 1,551 Partial differential equations (35-XX) 324 Systems theory; control (93-XX) 319 Ordinary differential equations (34-XX) 282 Operator theory (47-XX) 223 Dynamical systems and ergodic theory (37-XX) 197 Mechanics of deformable solids (74-XX) 169 Calculus of variations and optimal control; optimization (49-XX) 150 Numerical analysis (65-XX) 132 Operations research, mathematical programming (90-XX) 90 Fluid mechanics (76-XX) 82 Functional analysis (46-XX) 56 Integral equations (45-XX) 56 Quantum theory (81-XX) 53 Biology and other natural sciences (92-XX) 48 Real functions (26-XX) 43 Global analysis, analysis on manifolds (58-XX) 42 Statistical mechanics, structure of matter (82-XX) 40 Probability theory and stochastic processes (60-XX) 25 Optics, electromagnetic theory (78-XX) 24 Mechanics of particles and systems (70-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 19 Classical thermodynamics, heat transfer (80-XX) 18 Abstract harmonic analysis (43-XX) 17 Difference and functional equations (39-XX) 10 Measure and integration (28-XX) 10 Convex and discrete geometry (52-XX) 10 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) 7 Geophysics (86-XX) 5 Combinatorics (05-XX) 5 Algebraic geometry (14-XX) 5 Special functions (33-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 Potential theory (31-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 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Manifolds and cell complexes (57-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) Citations by Year