Edit Profile (opens in new tab) Haraux, Alain Compute Distance To: Compute 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 1,162 Co-Co-Authors all top 5 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 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 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 142 Publications have been cited 2,563 times in 1,890 Documents Cited by ▼ Year ▼ An introduction to semilinear evolution equations. Transl. by Yvan Martel. Revised ed. Zbl 0926.35049Cazenave, Thierry; Haraux, Alain 300 1998 Systèmes dynamiques dissipatifs et applications. (Dissipative dynamical systems and applications). Zbl 0726.58001Haraux, Alain 175 1991 Non-uniqueness for a semilinear initial value problem. Zbl 0465.35049Haraux, Alain; Weissler, Fred B. 136 1982 Decay estimates for some semilinear damped hyperbolic problems. Zbl 0654.35070Haraux, A.; Zuazua, E. 107 1988 Nonlinear evolution equations - global behavior of solutions. Zbl 0461.35002Haraux, Alain 103 1981 Equations d’évolution avec non linearite logarithmique. Zbl 0411.35051Cazenave, Thierry; Haraux, Alain 93 1980 Image d’une somme d’opérateurs monotones et applications. Zbl 0323.47041Brézis, Haïm; Haraux, Alain 77 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 0679.93063Haraux, A. 73 1989 How to differentiate the projection on a convex set in Hilbert space. Some applications to variational inequalities. Zbl 0387.46022Haraux, A. 70 1977 Introduction to semilinear evolution problems. (Introduction aux problèmes d’évolution semi-linéaires.) Zbl 0786.35070Cazenave, Thierry; Haraux, Alain 70 1990 Convergence of solutions to second-order gradient-like systems with analytic nonlinearities. Zbl 0915.34060Haraux, A.; Jendoubi, M. A. 62 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 0685.93039Haraux, Alain 62 1989 Convergence of bounded weak solutions of the wave equation with dissipation and analytic nonlinearity. Zbl 0939.35122Haraux, Alain; Jendoubi, Mohamed Ali 53 1999 Two remarks on hyperbolic dissipative problems. Zbl 0579.35057Haraux, A. 53 1985 Semi-linear hyperbolic problems in bounded domains. Zbl 0875.35054Haraux, Alain 47 1987 Anti-periodic solutions of some nonlinear evolution equations. Zbl 0684.35010Haraux, Alain 47 1989 Stabilization of trajectories for some weakly damped hyperbolic equations. Zbl 0535.35006Haraux, A. 43 1985 Attractors of asymptotically compact processes and applications to nonlinear partial differential equations. Zbl 0676.35008Haraux, Alain 41 1988 An optimal estimate for the difference of solutions of two abstract evolution equations. Zbl 1042.34090Chill, Ralph; Haraux, Alain 37 2003 Large time behaviour of the solutions to some nonlinear evolution equations. Zbl 0583.35007Haraux, A. 36 1985 Decay estimates to equilibrium for some evolution equations with an analytic nonlinearity. Zbl 0993.35017Haraux, A.; Jendoubi, M. A. 33 2001 On a result of K. Masuda concerning reaction-diffusion equations. Zbl 0689.35041Haraux, Alain; Youkana, Amar 30 1988 The convergence problem for dissipative autonomous systems. Classical methods and recent advances. Zbl 1345.37081Haraux, Alain; Jendoubi, Mohamed Ali 29 2015 Rate of decay to equilibrium in some semilinear parabolic equations. Zbl 1036.35035Haraux, Alain; Jendoubi, Mohamed Ali; Kavian, Otared 29 2003 Estimations \(C^ 1\) pour des problèmes paraboliques semi-linéaires. Zbl 0531.35048Haraux, A.; Kirane, M. 25 1983 Local and global smoothing effects for some linear hyperbolic equations with a strong dissipation. Zbl 1342.35184Ghisi, Marina; Gobbino, Massimo; Haraux, Alain 24 2016 Applications of the Łojasiewicz-Simon, gradient inequality to gradient-like evolution equations. Zbl 1192.34068Chill, Ralph; Haraux, Alain; Jendoubi, Mohamed Ali 22 2009 Almost-periodic forcing for a wave equation with a nonlinear local damping term. Zbl 0589.35076Haraux, Alain 21 1983 Asymptotic behavior for an almost periodic, strongly dissipative wave equation. Zbl 0413.35011Biroli, Marco; Haraux, Alain 20 1980 Comportement à l’infini pour une équation d’ondes non linéaire dissipative. Zbl 0396.35065Haraux, Alain 19 1978 Convergence to a positive equilibrium for some nonlinear evolution equations in a ball. Zbl 0824.35011Haraux, A.; Poláčik, P. 19 1992 The Łojasiewicz gradient inequality in the infinite-dimensional Hilbert space framework. Zbl 1222.47089Haraux, Alain; Jendoubi, Mohamed Ali 19 2011 Comportement à l’infini pour certains systèmes dissipatifs non linéaires. Zbl 0429.35013Haraux, A. 18 1979 Recent results on semilinear hyperbolic problems in bounded domains. Zbl 0681.35058Haraux, A. 18 1988 A generalized internal control for the wave equation in a rectangle. Zbl 0719.49008Haraux, Alain 17 1990 Comportement a l’infini pour les equations d’evolution avec forcing periodique. Zbl 0382.47021Baillon, J. B.; Haraux, A. 16 1977 Asymptotic behavior for two-dimensional, quasi-autonomous, almost- periodic evolution equations. Zbl 0625.34051Haraux, A. 16 1987 Propriétés oscillatoires des solutions de certaines équations des ondes semi-linéaires. (Oscillatory properties of the solutions to some semilinear wave equations). Zbl 0571.35074Cazenave, Thierry; Haraux, Alain 14 1984 Decay rate of the range component of solutions to some semilinear evolution equations. Zbl 1133.35019Haraux, A. 14 2006 Asymptotics for a second order differential equation with a linear, slowly time-decaying damping term. Zbl 1372.34084Haraux, Alain; Jendoubi, Mohamed Ali 13 2013 Équations d’évolution non linéaires: Solutions bornées et périodiques. Zbl 0341.35071Haraux, Alain 13 1978 Asymptotic behavior of trajectories for some nonautonomous, almost periodic processes. Zbl 0476.34052Haraux, A. 12 1983 On the convergence of global and bounded solutions of some evolution equations. Zbl 1145.35033Haraux, A.; Jendoubi, M. A. 12 2007 Some oscillatory properties of the wave equation in several space dimensions. Zbl 0656.35099Cazenave, Thierry; Haraux, Alain 12 1988 Oscillatory phenomena associated to semilinear wave equations in one spatial dimension. Zbl 0628.35058Cazenave, T.; Haraux, A. 12 1987 Compactness of trajectories to some nonlinear second order evolution equations and applications. Zbl 1288.34054Aloui, Faouzia; Ben Hassen, Imen; Haraux, Alain 11 2013 Slow and fast decay of solutions to some second order evolution equations. Zbl 1089.34048Haraux, Alain 11 2005 Boundedness and stability for the damped and forced single well Duffing equation. Zbl 1269.34042Fitouri, Cyrine; Haraux, Alain 10 2013 On a second order dissipative ODE in Hilbert spaces with an integrable source term. Zbl 1265.34186Haraux, Alain; Jendoubi, Mohamed Ali 10 2012 Dissipativity in the sense of Levinson for a class of second-order nonlinear evolution equations. Zbl 0505.35012Haraux, Alain 10 1982 Pointwise and spectral control of plate vibrations. Zbl 0778.73045Haraux, Alain; Jaffard, Stéphane 9 1991 Optimal decay estimates for the general solution to a class of semi-linear dissipative hyperbolic equations. Zbl 1353.35061Ghisi, Marina; Gobbino, Massimo; Haraux, Alain 9 2016 Asymptotic stability for intermittently controlled second-order evolution equations. Zbl 1082.93050Haraux, A.; Martinez, P.; Vancostenoble, J. 9 2005 Non-resonance for a strongly dissipative wave equation in higher dimensions. Zbl 0587.35063Haraux, Alain 9 1985 Oscillations of anharmonic Fourier series and the wave equation. Zbl 0612.35077Haraux, A.; Komornik, V. 9 1985 An optimal estimate for the time singular limit of an abstract wave equation. Zbl 1119.35342Chill, Ralph; Haraux, Alain 9 2004 Analyticity and regularity for a class of second order evolution equations. Zbl 1262.35069Haraux, Alain; Ôtani, Mitsuharu 8 2013 \(L^{p}\) estimates of solutions to some non-linear wave equations in one space dimension. Zbl 1190.35158Haraux, Alain 8 2009 Nonlinear vibrations and the wave equation. Zbl 1403.35004Haraux, Alain 8 2018 Sharp estimates of bounded solutions to some semilinear second order dissipative equations. Zbl 1189.34111Fitouri, Cyrine; Haraux, Alain 7 2009 Convergence and decay estimates for a class of second order dissipative equations involving a non-negative potential energy. Zbl 1248.34092Ben Hassen, Imen; Haraux, Alain 7 2011 N-cyclic functions and multiple subharmonic solutions of Duffing’s equation. Zbl 1259.34031Gasmi, Sana; Haraux, Alain 7 2012 Some applications of the Łojasiewicz gradient inequality. Zbl 1280.34054Haraux, Alain 7 2012 The remarkable effectiveness of time-dependent damping terms for second order evolution equations. Zbl 1338.35047Ghisi, Marina; Gobbino, Massimo; Haraux, Alain 7 2016 A new characterization of weak solutions to the damped wave equations. Zbl 0678.35070Haraux, A. 7 1988 A class of nonlinear, completely integrable abstract wave equations. Zbl 0783.35003Cazenave, Thierry; Haraux, Alain; Weissler, Fred B. 6 1993 Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Zbl 0771.34038Cazenave, Thierry; Haraux, Alain; Weissler, Fred B. 6 1993 Derivation dans les inéquations variationnelles. Zbl 0283.49002Haraux, Alain 6 1974 An example of uniformly recurrent function which is not almost periodic. Zbl 1051.42008Haraux, Alain; Souplet, Philippe 6 2004 Remarks on the wave equation with a nonlinear term with respect to the velocity. Zbl 0782.35042Haraux, A. 6 1992 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 0643.49029Haraux, Alain 6 1988 Asymptotics for some nonlinear O.D.E. of the second order. Zbl 0603.34032Haraux, A. 6 1986 Finding the exact decay rate of all solutions to some second order evolution equations with dissipation. Zbl 1353.35062Ghisi, Marina; Gobbino, Massimo; Haraux, Alain 5 2016 Equation de Schrödinger avec non-linearite logarithmique. Zbl 0406.35013Cazenave, Thierry; Haraux, Alain 5 1979 Quantization of energy and weakly turbulent profiles of solutions to some damped second-order evolution equations. Zbl 1418.35036Ghisi, Marina; Gobbino, Massimo; Haraux, Alain 5 2019 An infinite dimensional Duffing-like evolution equation with linear dissipation and an asymptotically small source term. Zbl 1394.35291Ghisi, Marina; Gobbino, Massimo; Haraux, Alain 5 2018 Super-solutions of eigenvalue problems and the oscillation properties of second order evolution equations. Zbl 0654.34018Haraux, A.; Zuazua, E. 5 1988 Damping out of transient states for some semilinear, quasi-autonomous systems of hyperbolic type. Zbl 0556.35093Haraux, Alain 5 1983 Un théorème de valeurs intermédiaires dans les espaces de Sobolev et application. (A mean value theorem in Sobolev spaces and applications). Zbl 0557.35055Chabi, Amina; Haraux, Alain 5 1985 On a completion problem in the theory of distribute control of wave equations. Zbl 0731.93056Haraux, A. 5 1991 Sharp decay estimates of the solutions to a class of nonlinear second order ODE’s. Zbl 1227.34052Haraux, Alain 4 2011 Mouvements presque-périodiques d’une corde vibrante en presence d’un obstacle fixe, rectiligne ou ponctuel. Zbl 0474.73074Cabannes, Henri; Haraux, Alain 4 1981 Remarks on weak stabilization of semilinear wave equations. Zbl 0988.35029Haraux, Alain 4 2001 Exponential decay and existence of almost periodic solutions for some linear forced differential equations. Zbl 1018.34049Cieutat, Philippe; Haraux, Alain 4 2002 A complete integrable wave equation with a cubic homogeneous nonlinearity. (Une équation des ondes complètement intégrable avec non- linéarité homogène de degré trois.) Zbl 0755.35009Cazenave, Thierry; Haraux, Alain; Weissler, Fred B. 4 1991 An alternative functional approach to exact controllability of reversible systems. Zbl 1065.93005Haraux, A. 4 2004 Remarks on Hamiltonian systems. Zbl 0567.70016Haraux, A. 4 1983 A description of all possible decay rates for solutions of some semilinear parabolic equations. Zbl 1403.35142Ghisi, Marina; Gobbino, Massimo; Haraux, Alain 4 2015 Global behavior of the solutions to a class of nonlinear, singular second order ODE. Zbl 1286.34073Abdelli, Mama; Haraux, Alain 4 2014 Sharp ultimate bounds of solutions to a class of second order linear evolution equations with bounded forcing term. Zbl 1287.34026Aloui, Faouzia; Haraux, Alain 4 2013 How to estimate observability constants of one-dimensional wave equations? Propagation versus spectral methods. Zbl 1377.35185Haraux, Alain; Liard, Thibault; Privat, Yannick 4 2016 Almost periodic motion of a string vibrating against a straight fixed obstacle. Zbl 0518.73053Haraux, Alain; Cabannes, Henri 4 1983 Positively homogeneous functions and the Łojasiewicz gradient inequality. Zbl 1101.26013Haraux, Alain 4 2005 Sharp estimates of bounded solutions to some second-order forced dissipative equations. Zbl 1146.34041Haraux, Alain 4 2007 The \(\varepsilon\)-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors. Zbl 1373.37170Anguiano, 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 1381.34033Abdelli, Mama; Anguiano, María; Haraux, Alain 3 2017 Asymptotic behavior of solutions to some degenerate parabolic equations. Zbl 0781.35008Haraux, Alain; Kenmochi, Nobuyuki 3 1991 A sufficient condition for slow decay of a solution to a semilinear parabolic equation. Zbl 1253.35016Ben Arbi, I.; Haraux, A. 3 2012 Some properties of lacunary series in the study of elastic vibrations. (Quelques propriétés des séries lacunaires utiles dans l’étude des vibrations élastiques.) Zbl 0805.35070Haraux, A. 3 1994 A concrete realization of the slow-fast alternative for a semilinear heat equation with homogeneous Neumann boundary conditions. Zbl 1393.35110Ghisi, Marina; Gobbino, Massimo; Haraux, Alain 3 2018 Small perturbations for a Duffing-like evolution equation involving non-commuting operators. Zbl 1459.35039Ghisi, Marina; Gobbino, Massimo; Haraux, Alain 1 2021 A sharp stability criterion for single well Duffing and Duffing-like equations. Zbl 1434.34050Haraux, Alain 2 2020 Quantization of energy and weakly turbulent profiles of solutions to some damped second-order evolution equations. Zbl 1418.35036Ghisi, 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 1423.34078Haraux, Alain 2 2019 Some simple problems for the next generations. Zbl 1425.35002Haraux, Alain 1 2019 The universal bound property for a class of second order ODEs. Zbl 1437.34019Abdelli, Mama; Haraux, Alain 1 2019 Nonlinear vibrations and the wave equation. Zbl 1403.35004Haraux, Alain 8 2018 An infinite dimensional Duffing-like evolution equation with linear dissipation and an asymptotically small source term. Zbl 1394.35291Ghisi, Marina; Gobbino, Massimo; Haraux, Alain 5 2018 A concrete realization of the slow-fast alternative for a semilinear heat equation with homogeneous Neumann boundary conditions. Zbl 1393.35110Ghisi, Marina; Gobbino, Massimo; Haraux, Alain 3 2018 The \(\varepsilon\)-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors. Zbl 1373.37170Anguiano, 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 1381.34033Abdelli, Mama; Anguiano, María; Haraux, Alain 3 2017 Local and global smoothing effects for some linear hyperbolic equations with a strong dissipation. Zbl 1342.35184Ghisi, Marina; Gobbino, Massimo; Haraux, Alain 24 2016 Optimal decay estimates for the general solution to a class of semi-linear dissipative hyperbolic equations. Zbl 1353.35061Ghisi, Marina; Gobbino, Massimo; Haraux, Alain 9 2016 The remarkable effectiveness of time-dependent damping terms for second order evolution equations. Zbl 1338.35047Ghisi, Marina; Gobbino, Massimo; Haraux, Alain 7 2016 Finding the exact decay rate of all solutions to some second order evolution equations with dissipation. Zbl 1353.35062Ghisi, Marina; Gobbino, Massimo; Haraux, Alain 5 2016 How to estimate observability constants of one-dimensional wave equations? Propagation versus spectral methods. Zbl 1377.35185Haraux, Alain; Liard, Thibault; Privat, Yannick 4 2016 A Liapunov function approach to the stabilization of second order coupled systems. Zbl 1362.35048Haraux, Alain; Jendoubi, Mohamed Ali 3 2016 The convergence problem for dissipative autonomous systems. Classical methods and recent advances. Zbl 1345.37081Haraux, Alain; Jendoubi, Mohamed Ali 29 2015 A description of all possible decay rates for solutions of some semilinear parabolic equations. Zbl 1403.35142Ghisi, Marina; Gobbino, Massimo; Haraux, Alain 4 2015 On the Łojasiewicz exponents of quasi-homogeneous functions. Zbl 1316.14110Haraux, Alain; Phạm, Tien Son 3 2015 On the strong oscillatory behavior of all solutions to some second order evolution equations. Zbl 1343.35150Haraux, Alain 1 2015 Global behavior of the solutions to a class of nonlinear, singular second order ODE. Zbl 1286.34073Abdelli, Mama; Haraux, Alain 4 2014 Asymptotics for a second order differential equation with a linear, slowly time-decaying damping term. Zbl 1372.34084Haraux, Alain; Jendoubi, Mohamed Ali 13 2013 Compactness of trajectories to some nonlinear second order evolution equations and applications. Zbl 1288.34054Aloui, Faouzia; Ben Hassen, Imen; Haraux, Alain 11 2013 Boundedness and stability for the damped and forced single well Duffing equation. Zbl 1269.34042Fitouri, Cyrine; Haraux, Alain 10 2013 Analyticity and regularity for a class of second order evolution equations. Zbl 1262.35069Haraux, Alain; Ôtani, Mitsuharu 8 2013 Sharp ultimate bounds of solutions to a class of second order linear evolution equations with bounded forcing term. Zbl 1287.34026Aloui, Faouzia; Haraux, Alain 4 2013 Slow and fast decaying solutions to a critical semilinear parabolic equation. Zbl 1330.35229Benarbi, Imen; Haraux, Alain 2 2013 On a second order dissipative ODE in Hilbert spaces with an integrable source term. Zbl 1265.34186Haraux, Alain; Jendoubi, Mohamed Ali 10 2012 N-cyclic functions and multiple subharmonic solutions of Duffing’s equation. Zbl 1259.34031Gasmi, Sana; Haraux, Alain 7 2012 Some applications of the Łojasiewicz gradient inequality. Zbl 1280.34054Haraux, Alain 7 2012 A sufficient condition for slow decay of a solution to a semilinear parabolic equation. Zbl 1253.35016Ben Arbi, I.; Haraux, A. 3 2012 The Łojasiewicz gradient inequality in the infinite-dimensional Hilbert space framework. Zbl 1222.47089Haraux, Alain; Jendoubi, Mohamed Ali 19 2011 Convergence and decay estimates for a class of second order dissipative equations involving a non-negative potential energy. Zbl 1248.34092Ben Hassen, Imen; Haraux, Alain 7 2011 Sharp decay estimates of the solutions to a class of nonlinear second order ODE’s. Zbl 1227.34052Haraux, Alain 4 2011 On the fast solution of evolution equations with a rapidly decaying source term. Zbl 1227.34063Haraux, Alain 2 2011 Applications of the Łojasiewicz-Simon, gradient inequality to gradient-like evolution equations. Zbl 1192.34068Chill, Ralph; Haraux, Alain; Jendoubi, Mohamed Ali 22 2009 \(L^{p}\) estimates of solutions to some non-linear wave equations in one space dimension. Zbl 1190.35158Haraux, Alain 8 2009 Sharp estimates of bounded solutions to some semilinear second order dissipative equations. Zbl 1189.34111Fitouri, Cyrine; Haraux, Alain 7 2009 Sharp estimates of bounded solutions to a second-order forced equation with structural damping. Zbl 1184.34066Haraux, Alain 1 2009 On the convergence of global and bounded solutions of some evolution equations. Zbl 1145.35033Haraux, A.; Jendoubi, M. A. 12 2007 Sharp estimates of bounded solutions to some second-order forced dissipative equations. Zbl 1146.34041Haraux, Alain 4 2007 Decay rate of the range component of solutions to some semilinear evolution equations. Zbl 1133.35019Haraux, A. 14 2006 Stability and multiplicity of periodic or almost periodic solutions to scalar first-order ODE. Zbl 1108.34316Haraux, Alain 3 2006 Slow and fast decay of solutions to some second order evolution equations. Zbl 1089.34048Haraux, Alain 11 2005 Asymptotic stability for intermittently controlled second-order evolution equations. Zbl 1082.93050Haraux, A.; Martinez, P.; Vancostenoble, J. 9 2005 Positively homogeneous functions and the Łojasiewicz gradient inequality. Zbl 1101.26013Haraux, Alain 4 2005 An optimal estimate for the time singular limit of an abstract wave equation. Zbl 1119.35342Chill, Ralph; Haraux, Alain 9 2004 An example of uniformly recurrent function which is not almost periodic. Zbl 1051.42008Haraux, Alain; Souplet, Philippe 6 2004 An alternative functional approach to exact controllability of reversible systems. Zbl 1065.93005Haraux, A. 4 2004 An optimal estimate for the difference of solutions of two abstract evolution equations. Zbl 1042.34090Chill, Ralph; Haraux, Alain 37 2003 Rate of decay to equilibrium in some semilinear parabolic equations. Zbl 1036.35035Haraux, Alain; Jendoubi, Mohamed Ali; Kavian, Otared 29 2003 Exponential decay and existence of almost periodic solutions for some linear forced differential equations. Zbl 1018.34049Cieutat, Philippe; Haraux, Alain 4 2002 Decay estimates to equilibrium for some evolution equations with an analytic nonlinearity. Zbl 0993.35017Haraux, A.; Jendoubi, M. A. 33 2001 Remarks on weak stabilization of semilinear wave equations. Zbl 0988.35029Haraux, Alain 4 2001 A hyperbolic variant of Simon’s convergence theorem. Zbl 0977.35091Haraux, Alain 2 2001 Some sharp estimates for parabolic equations. Zbl 0988.35038Haraux, Alain 2 2001 On a class of second order ODE with a typical degenerate nonlinearity. Zbl 0987.34004Haraux, A.; Yan, Q. 1 2001 Convergence of bounded weak solutions of the wave equation with dissipation and analytic nonlinearity. Zbl 0939.35122Haraux, Alain; Jendoubi, Mohamed Ali 53 1999 The oscillation pattern of solutions to parabolic equations as time goes to infinity. Zbl 0962.35096Comte, Myriam; Haraux, Alain 1 1999 An introduction to semilinear evolution equations. Transl. by Yvan Martel. Revised ed. Zbl 0926.35049Cazenave, Thierry; Haraux, Alain 300 1998 Convergence of solutions to second-order gradient-like systems with analytic nonlinearities. Zbl 0915.34060Haraux, A.; Jendoubi, M. A. 62 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 0805.35070Haraux, A. 3 1994 A class of nonlinear, completely integrable abstract wave equations. Zbl 0783.35003Cazenave, Thierry; Haraux, Alain; Weissler, Fred B. 6 1993 Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom. Zbl 0771.34038Cazenave, Thierry; Haraux, Alain; Weissler, Fred B. 6 1993 Exponentially stable positive solutions to a forced semilinear parabolic equation. Zbl 0797.35090Haraux, A. 3 1993 Convergence to a positive equilibrium for some nonlinear evolution equations in a ball. Zbl 0824.35011Haraux, A.; Poláčik, P. 19 1992 Remarks on the wave equation with a nonlinear term with respect to the velocity. Zbl 0782.35042Haraux, A. 6 1992 Systèmes dynamiques dissipatifs et applications. (Dissipative dynamical systems and applications). Zbl 0726.58001Haraux, Alain 175 1991 Pointwise and spectral control of plate vibrations. Zbl 0778.73045Haraux, Alain; Jaffard, Stéphane 9 1991 On a completion problem in the theory of distribute control of wave equations. Zbl 0731.93056Haraux, A. 5 1991 A complete integrable wave equation with a cubic homogeneous nonlinearity. (Une équation des ondes complètement intégrable avec non- linéarité homogène de degré trois.) Zbl 0755.35009Cazenave, Thierry; Haraux, Alain; Weissler, Fred B. 4 1991 Asymptotic behavior of solutions to some degenerate parabolic equations. Zbl 0781.35008Haraux, Alain; Kenmochi, Nobuyuki 3 1991 On the vibration of rectangular plates. Zbl 0767.73041Haraux, Alain; Komornik, Vilmos 2 1991 Introduction to semilinear evolution problems. (Introduction aux problèmes d’évolution semi-linéaires.) Zbl 0786.35070Cazenave, Thierry; Haraux, Alain 70 1990 A generalized internal control for the wave equation in a rectangle. Zbl 0719.49008Haraux, Alain 17 1990 Quelques méthodes et résultats récents en théorie de la contrôlabilité exacte. Zbl 0729.93012Haraux, A. 2 1990 A remark on asymptotic behavior of periodic contraction processes. Zbl 0746.47030Haraux, 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 0679.93063Haraux, A. 73 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 0685.93039Haraux, Alain 62 1989 Anti-periodic solutions of some nonlinear evolution equations. Zbl 0684.35010Haraux, Alain 47 1989 Nonlinear effects in the wave equation with a cubic restoring force. Zbl 0697.65089Cazenave, T.; Haraux, A.; Vazquez, L.; Weissler, F. B. 3 1989 Decay estimates for some semilinear damped hyperbolic problems. Zbl 0654.35070Haraux, A.; Zuazua, E. 107 1988 Attractors of asymptotically compact processes and applications to nonlinear partial differential equations. Zbl 0676.35008Haraux, Alain 41 1988 On a result of K. Masuda concerning reaction-diffusion equations. Zbl 0689.35041Haraux, Alain; Youkana, Amar 30 1988 Recent results on semilinear hyperbolic problems in bounded domains. Zbl 0681.35058Haraux, A. 18 1988 Some oscillatory properties of the wave equation in several space dimensions. Zbl 0656.35099Cazenave, Thierry; Haraux, Alain 12 1988 A new characterization of weak solutions to the damped wave equations. Zbl 0678.35070Haraux, A. 7 1988 Contrôlabilité exacte d’une membrane rectangulaire au moyen d’une fonctionnelle analytique localisée. (Exact controllability of a rectangular membrane by means of a localized analytic functional). Zbl 0643.49029Haraux, Alain 6 1988 Super-solutions of eigenvalue problems and the oscillation properties of second order evolution equations. Zbl 0654.34018Haraux, A.; Zuazua, E. 5 1988 Uniform decay and Lagrange stability for linear contraction semigroups. Zbl 0676.47020Haraux, A. 3 1988 Oscillations in the wave equation. Zbl 0671.35054Haraux, A.; Komornik, V. 1 1988 Semi-linear hyperbolic problems in bounded domains. Zbl 0875.35054Haraux, Alain 47 1987 Asymptotic behavior for two-dimensional, quasi-autonomous, almost- periodic evolution equations. Zbl 0625.34051Haraux, A. 16 1987 Oscillatory phenomena associated to semilinear wave equations in one spatial dimension. Zbl 0628.35058Cazenave, T.; Haraux, A. 12 1987 A simple almost-periodicity criterion and applications. Zbl 0608.34049Haraux, A. 2 1987 Asymptotics for some nonlinear O.D.E. of the second order. Zbl 0603.34032Haraux, A. 6 1986 Asymptotics for some nonlinear hyperbolic equations with a one- dimensional set of rest points. Zbl 0637.35010Haraux, A. 3 1986 Linear semigroups in Banach spaces. Zbl 0619.47034Haraux, A. 2 1986 Recent results on semilinear wave equations with dissipation. Zbl 0617.35076Haraux, A. 1 1986 ...and 42 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,984 Authors 68 Haraux, Alain 25 Zuazua, Enrique 22 Attouch, Hedy 20 Pata, Vittorino 19 Tcheugoué Tébou, Louis Roder 18 Komornik, Vilmos 18 Messaoudi, Salim A. 17 Ghisi, Marina 17 Gobbino, Massimo 15 Ammari, Kais 15 Cazenave, Thierry 15 Ikehata, Ryo 15 Weissler, Fred B. 14 Kirane, Mokhtar 13 Benaissa, Abbes 13 Feireisl, Eduard 13 Grasselli, Maurizio 13 Jendoubi, Mohamed Ali 13 Lasiecka, Irena 13 Loreti, Paola 12 Nakao, Mitsuhiro 12 Wu, Hao 11 Bauschke, Heinz H. 11 Cabot, Alexandre 11 Fino, Ahmad Z. 10 Carles, Rémi 10 Chepyzhov, Vladimir V. 10 Ezzinbi, Khalil 10 Furtado, Marcelo Fernandes 10 Mironchenko, Andrii 10 Pazoto, Ademir Fernando 10 Souplet, Philippe 9 Beauchard, Karine 9 Boţ, Radu Ioan 9 Chen, Yuqing 9 Chill, Ralph 9 Essebbar, Brahim 9 Langa, Jose’ Antonio 9 Malanowski, Kazimierz D. 9 Nicaise, Serge 9 Riahi, Hassan 9 Sokołowski, Jan 9 Wakasugi, Yuta 8 Clark, Haroldo Rodrigues 8 Conti, Monica C. 8 Csetnek, Ernö Robert 8 Goubet, Olivier 8 Hintermüller, Michael 8 Pierre, Morgan 8 Said-Houari, Belkacem 8 Sobajima, Motohiro 8 Wang, Shawn Xianfu 8 Yassine, Hassan 8 Zhong, Chengkui 7 Algharabli, Mohammad M. 7 Bonnans, Joseph Frédéric 7 Charão, Ruy Coimbra 7 Jochmann, Frank 7 Khanmamedov, Azer Kh. 7 Laurençot, Philippe 7 Laurent, Camille 7 Li, Desheng 7 Liu, Wenjun 7 Micu, Sorin 7 Nieto Roig, Juan Jose 7 Nishihara, Kenji 7 Prieur, Christophe 7 Qi, Yuanwei 7 Robinson, James Cooper 7 Vishik, Marko Iosifovich 7 Wachsmuth, Gerd 7 Wang, Bixiang 6 Abdelli, Mama 6 Aizicovici, Sergiu 6 Alabau-Boussouira, Fatiha 6 Cavalcanti, Marcelo Moreira 6 Chbani, Zaki 6 Dickstein, Flávio 6 Domingos Cavalcanti, Valéria Neves 6 Fang, Yaping 6 Gal, Ciprian Gheorghe Sorin 6 Gazzola, Filippo 6 Hale, Jack Kenneth 6 Hu, Rong 6 Ikeda, Masahiro 6 Karachalios, Nikos I. 6 Kloeden, Peter Eris 6 Kostić, Marko 6 László, Csaba Szilárd 6 Lizama, Carlos 6 Moursi, Walaa M. 6 Nolasco de Carvalho, Alexandre 6 Pierre, Michel 6 Poláčik, Peter 6 Rao, Bopeng 6 Raugel, Geneviève 6 Song, Haitao 6 Squassina, Marco 6 Tachim Medjo, Theodore 6 Takeda, Hiroshi ...and 1,884 more Authors all top 5 Cited in 307 Serials 166 Journal of Differential Equations 135 Journal of Mathematical Analysis and Applications 97 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 60 Nonlinear Analysis. Theory, Methods & Applications 50 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 32 Applied Mathematics and Optimization 32 Journal de Mathématiques Pures et Appliquées. Neuvième Série 31 Journal of Functional Analysis 30 Evolution Equations and Control Theory 28 Applicable Analysis 27 Communications on Pure and Applied Analysis 26 Journal of Dynamics and Differential Equations 25 Discrete and Continuous Dynamical Systems 24 Mathematical Methods in the Applied Sciences 23 SIAM Journal on Control and Optimization 23 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 23 Nonlinear Analysis. Real World Applications 21 Journal of Evolution Equations 21 Discrete and Continuous Dynamical Systems. Series B 20 Transactions of the American Mathematical Society 20 Communications in Partial Differential Equations 19 ZAMP. 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Nova Série 5 Journal of Hyperbolic Differential Equations 5 Optimization Letters 5 Electronic Research Archive 4 Journal d’Analyse Mathématique 4 Mathematical Notes 4 Nonlinearity 4 Manuscripta Mathematica 4 Mathematische Nachrichten 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 SIAM Journal on Numerical Analysis 4 Chinese Annals of Mathematics. Series B 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 ...and 207 more Serials all top 5 Cited in 52 Fields 1,358 Partial differential equations (35-XX) 280 Ordinary differential equations (34-XX) 272 Systems theory; control (93-XX) 241 Operator theory (47-XX) 189 Dynamical systems and ergodic theory (37-XX) 176 Mechanics of deformable solids (74-XX) 151 Calculus of variations and optimal control; optimization (49-XX) 124 Numerical analysis (65-XX) 106 Operations research, mathematical programming (90-XX) 75 Fluid mechanics (76-XX) 70 Functional analysis (46-XX) 52 Integral equations (45-XX) 49 Quantum theory (81-XX) 43 Biology and other natural sciences (92-XX) 41 Real functions (26-XX) 38 Global analysis, analysis on manifolds (58-XX) 36 Statistical mechanics, structure of matter (82-XX) 32 Probability theory and stochastic processes (60-XX) 18 Mechanics of particles and systems (70-XX) 18 Optics, electromagnetic theory (78-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 15 Abstract harmonic analysis (43-XX) 13 Difference and functional equations (39-XX) 13 Classical thermodynamics, heat transfer (80-XX) 10 Convex and discrete geometry (52-XX) 9 Differential geometry (53-XX) 8 Measure and integration (28-XX) 8 Several complex variables and analytic spaces (32-XX) 8 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 Potential theory (31-XX) 4 Approximations and expansions (41-XX) 4 Relativity and gravitational theory (83-XX) 3 History and biography (01-XX) 3 Combinatorics (05-XX) 3 Number theory (11-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-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) 2 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Integral transforms, operational calculus (44-XX) 1 Computer science (68-XX) Citations by Year