Edit Profile (opens in new tab) Vitillaro, Enzo Co-Author Distance Author ID: vitillaro.enzo Published as: Vitillaro, Enzo; Vitillaro, E. Documents Indexed: 39 Publications since 1992, including 4 Additional arXiv Preprints Co-Authors: 16 Co-Authors with 19 Joint Publications 465 Co-Co-Authors all top 5 Co-Authors 18 single-authored 5 Vazquez, Juan Luis 2 Cangiotti, Nicolò 2 Caponi, Maicol 2 Fiscella, Alessio 2 Maione, Alberto 2 Todorova, Grozdena Hr. 1 Ambrosetti, Antonio 1 Barbieri, Alessio 1 Boccuto, Antonio 1 Bossi, M. Chiara 1 Cesarina Salvatori, M. 1 Mugnolo, Delio 1 Pucci, Patrizia 1 Salvatori, Maria Cesarina 1 Serrin, James 1 Tanaka, Kazunaga all top 5 Serials 4 Journal of Mathematical Analysis and Applications 3 Journal of Differential Equations 2 Archive for Rational Mechanics and Analysis 2 Semigroup Forum 2 Differential and Integral Equations 2 Atti del Seminario Matematico e Fisico dell’Università di Modena 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Periodica Mathematica Hungarica 1 Glasgow Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Asymptotic Analysis 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Dynamic Systems and Applications 1 Communications in Partial Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Milan Journal of Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Bollettino dell’Unione Matematica Italiana all top 5 Fields 30 Partial differential equations (35-XX) 9 Ordinary differential equations (34-XX) 6 Mechanics of particles and systems (70-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Fluid mechanics (76-XX) 2 Information and communication theory, circuits (94-XX) 1 Measure and integration (28-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 595 times in 420 Documents Cited by ▼ Year ▼ Global nonexistence theorems for a class of evolution equations with dissipation. Zbl 0934.35101 Vitillaro, Enzo 177 1999 A potential well theory for the wave equation with nonlinear source and boundary damping terms. Zbl 1016.35048 Vitillaro, Enzo 71 2002 Global existence for the wave equation with nonlinear boundary damping and source terms. Zbl 1508.35025 Vitillaro, Enzo 50 2002 Blow up for nonlinear dissipative wave equations in \(\mathbb R^n\). Zbl 1065.35200 Todorova, Grozdena; Vitillaro, Enzo 37 2005 Heat equation with dynamical boundary conditions of reactive-diffusive type. Zbl 1213.35243 Vázquez, Juan Luis; Vitillaro, Enzo 36 2011 Existence for a nonlinear wave equation with damping and source terms. Zbl 1036.35146 Serrin, James; Todorova, Grozdena; Vitillaro, Enzo 36 2003 Heat equation with dynamical boundary conditions of reactive type. Zbl 1168.35375 Vázquez, Juan Luis; Vitillaro, Enzo 28 2008 Some new results on global nonexistence and blow-up for evolution problems with positive energy. Zbl 0969.35012 Vitillaro, Enzo 26 2000 On the wave equation with hyperbolic dynamical boundary conditions, interior and boundary damping and source. Zbl 1368.35166 Vitillaro, Enzo 16 2017 On the Laplace equation with dynamical boundary conditions of reactive-diffusive type. Zbl 1167.35019 Vázquez, Juan Luis; Vitillaro, Enzo 15 2009 On the wave equation with hyperbolic dynamical boundary conditions, interior and boundary damping and supercritical sources. Zbl 1411.35195 Vitillaro, Enzo 14 2018 Heat equation with dynamical boundary conditions of locally reactive type. Zbl 1112.35083 Vazquez, Juan Luis; Vitillaro, Enzo 13 2007 On the Laplace equation with non-linear dynamical boundary conditions. Zbl 1102.35050 Vitillaro, Enzo 13 2006 Wave equation with second-order non-standard dynamical boundary conditions. Zbl 1158.35060 Vazquez, Juan Luis; Vitillaro, Enzo 9 2008 Global existence for the heat equation with nonlinear dynamical boundary conditions. Zbl 1065.35153 Vitillaro, Enzo 9 2005 Strong solutions for the wave equation with a kinetic boundary condition. Zbl 1329.35186 Vitillaro, Enzo 8 2013 Blow-up for the wave equation with nonlinear source and boundary damping terms. Zbl 1343.35041 Fiscella, Alessio; Vitillaro, Enzo 6 2015 Asymptotic stability for abstract evolution equations and applications to partial differential systems. Zbl 0942.47055 Boccuto, Antonio; Vitillaro, Enzo 5 1998 Local Hadamard well-posedness and blow-up for reaction-diffusion equations with non-linear dynamical boundary conditions. Zbl 1277.35216 Fiscella, Alessio; Vitillaro, Enzo 5 2013 Periodic solutions with prescribed energy for some Keplerian \(N\)-body problems. Zbl 0855.70006 Ambrosetti, Antonio; Tanaka, Kazunaga; Vitillaro, Enzo 4 1994 Decay for the solutions of nonlinear abstract damped evolution equations with applications to partial and ordinary differential systems. Zbl 1004.35101 Cesarina Salvatori, M.; Vitillaro, Enzo 3 1998 Approximation by regular functions in Sobolev spaces arising from doubly elliptic problems. Zbl 1464.46042 Pucci, Patrizia; Vitillaro, Enzo 3 2020 Blow-up for the wave equation with hyperbolic dynamical boundary conditions, interior and boundary nonlinear damping and sources. Zbl 1480.35065 Vitillaro, Enzo 3 2021 Non-collision periodic solutions of fixed energy for a symmetric \(N\)-body type problem. Zbl 0963.70545 Vitillaro, Enzo 2 1995 Blow-up for the porous media equation with source term and positive initial energy. Zbl 0953.35075 Vitillaro, Enzo 2 2000 Periodic solutions for singular conservative systems. Zbl 0854.70016 Vitillaro, Enzo 2 1994 Closed orbits of prescribed mean potential energy for a class of \(N\)-body type problems. Zbl 0831.34049 Vitillaro, Enzo 1 1995 Decay for some second-order nonlinear systems. Zbl 0917.34024 Vitillaro, Enzo 1 1997 Blow-up for the wave equation with hyperbolic dynamical boundary conditions, interior and boundary nonlinear damping and sources. Zbl 1480.35065 Vitillaro, Enzo 3 2021 Approximation by regular functions in Sobolev spaces arising from doubly elliptic problems. Zbl 1464.46042 Pucci, Patrizia; Vitillaro, Enzo 3 2020 On the wave equation with hyperbolic dynamical boundary conditions, interior and boundary damping and supercritical sources. Zbl 1411.35195 Vitillaro, Enzo 14 2018 On the wave equation with hyperbolic dynamical boundary conditions, interior and boundary damping and source. Zbl 1368.35166 Vitillaro, Enzo 16 2017 Blow-up for the wave equation with nonlinear source and boundary damping terms. Zbl 1343.35041 Fiscella, Alessio; Vitillaro, Enzo 6 2015 Strong solutions for the wave equation with a kinetic boundary condition. Zbl 1329.35186 Vitillaro, Enzo 8 2013 Local Hadamard well-posedness and blow-up for reaction-diffusion equations with non-linear dynamical boundary conditions. Zbl 1277.35216 Fiscella, Alessio; Vitillaro, Enzo 5 2013 Heat equation with dynamical boundary conditions of reactive-diffusive type. Zbl 1213.35243 Vázquez, Juan Luis; Vitillaro, Enzo 36 2011 On the Laplace equation with dynamical boundary conditions of reactive-diffusive type. Zbl 1167.35019 Vázquez, Juan Luis; Vitillaro, Enzo 15 2009 Heat equation with dynamical boundary conditions of reactive type. Zbl 1168.35375 Vázquez, Juan Luis; Vitillaro, Enzo 28 2008 Wave equation with second-order non-standard dynamical boundary conditions. Zbl 1158.35060 Vazquez, Juan Luis; Vitillaro, Enzo 9 2008 Heat equation with dynamical boundary conditions of locally reactive type. Zbl 1112.35083 Vazquez, Juan Luis; Vitillaro, Enzo 13 2007 On the Laplace equation with non-linear dynamical boundary conditions. Zbl 1102.35050 Vitillaro, Enzo 13 2006 Blow up for nonlinear dissipative wave equations in \(\mathbb R^n\). Zbl 1065.35200 Todorova, Grozdena; Vitillaro, Enzo 37 2005 Global existence for the heat equation with nonlinear dynamical boundary conditions. Zbl 1065.35153 Vitillaro, Enzo 9 2005 Existence for a nonlinear wave equation with damping and source terms. Zbl 1036.35146 Serrin, James; Todorova, Grozdena; Vitillaro, Enzo 36 2003 A potential well theory for the wave equation with nonlinear source and boundary damping terms. Zbl 1016.35048 Vitillaro, Enzo 71 2002 Global existence for the wave equation with nonlinear boundary damping and source terms. Zbl 1508.35025 Vitillaro, Enzo 50 2002 Some new results on global nonexistence and blow-up for evolution problems with positive energy. Zbl 0969.35012 Vitillaro, Enzo 26 2000 Blow-up for the porous media equation with source term and positive initial energy. Zbl 0953.35075 Vitillaro, Enzo 2 2000 Global nonexistence theorems for a class of evolution equations with dissipation. Zbl 0934.35101 Vitillaro, Enzo 177 1999 Asymptotic stability for abstract evolution equations and applications to partial differential systems. Zbl 0942.47055 Boccuto, Antonio; Vitillaro, Enzo 5 1998 Decay for the solutions of nonlinear abstract damped evolution equations with applications to partial and ordinary differential systems. Zbl 1004.35101 Cesarina Salvatori, M.; Vitillaro, Enzo 3 1998 Decay for some second-order nonlinear systems. Zbl 0917.34024 Vitillaro, Enzo 1 1997 Non-collision periodic solutions of fixed energy for a symmetric \(N\)-body type problem. Zbl 0963.70545 Vitillaro, Enzo 2 1995 Closed orbits of prescribed mean potential energy for a class of \(N\)-body type problems. Zbl 0831.34049 Vitillaro, Enzo 1 1995 Periodic solutions with prescribed energy for some Keplerian \(N\)-body problems. Zbl 0855.70006 Ambrosetti, Antonio; Tanaka, Kazunaga; Vitillaro, Enzo 4 1994 Periodic solutions for singular conservative systems. Zbl 0854.70016 Vitillaro, Enzo 2 1994 all cited Publications top 5 cited Publications all top 5 Cited by 463 Authors 17 Liu, Wenjun 16 Zhang, Hongwei 13 Rammaha, Mohammad A. 13 Vitillaro, Enzo 11 Ha, Tae Gab 11 Hu, Qingying 11 Messaoudi, Salim A. 11 Xu, Runzhang 9 Kafini, Mohammad Mustafa 9 Li, Shengjia 9 Toundykov, Daniel 8 Dzhokhadze, Otar Mikhajlovich 8 Liu, Gongwei 8 Maniar, Lahcen 8 Piṣkin, Erhan 7 Lasiecka, Irena 7 Said-Houari, Belkacem 7 Ye, Yaojun 6 Cavalcanti, Marcelo Moreira 6 Ishige, Kazuhiro 6 Liang, Fei 6 Pucci, Patrizia 6 Wu, Shuntang 5 Aliev, Akbar B. 5 Esquivel-Avila, Jorge Alfredo 5 Fila, Marek 5 Gao, Hongjun 5 Guo, Yanqiu 5 Kang, Jum-Ran 5 Kawakami, Tatsuki 5 Kharibegashvili, S. S. 5 Li, Chan 5 Li, Gang 5 Liu, Yacheng 5 Vazquez, Juan Luis 5 Wang, Mingxin 5 Xiao, Ti-Jun 4 Autuori, Giuseppina 4 Bociu, Lorena 4 Boumaza, Nouri 4 Chorfi, Salah-Eddine 4 Domingos Cavalcanti, Valéria Neves 4 Ekinci, Fatma 4 Feng, Hongyinping 4 Gheraibia, Billel 4 Leibold, Jan 4 Li, Donghao 4 Li, Fushan 4 Liang, Jin 4 Nowakowski, Andrzej 4 Oukdach, Omar 4 Park, SunHye 4 Pei, Pei 4 Shang, Yadong 4 Todorova, Grozdena Hr. 4 Wang, Yanjin 3 Boukhatem, Yamna 3 Di, Huafei 3 Goldstein, Jerome Arthur 3 Graber, Philip Jameson 3 Guidetti, Davide 3 Hamamuki, Nao 3 Hao, Jianghao 3 Ismailov, Mansur I. 3 Kalleji, Morteza Koozehgar 3 Khoutaibi, Abdelaziz 3 Le Thi Phuong Ngoc 3 Lee, Mi Jin 3 Liu, Yang 3 Maouni, Messaoud 3 Mu, Chunlai 3 Mugnolo, Delio 3 Nguyen Thanh Long 3 Ouaoua, Amar 3 Park, Jong Yeoul 3 Runzhang, Xu 3 Song, Haitao 3 Talahmeh, Ala A. 3 Vasylyeva, Nataliya V. 3 Wang, Yufeng 3 Yang, Chao 3 Zennir, Khaled 3 Zhang, Shiqing 3 Zhou, Jun 3 Zhou, Yong 2 Altmann, Robert 2 Antonopoulou, Dimitra C. 2 Bandle, Catherine 2 Barbu, Viorel 2 Bellassoued, Mourad 2 Benabderrahmane, Benyattou 2 Boutaayamou, Idriss 2 Chai, Shugen 2 Chen, Yuxuan 2 Cherif, Bahri Belkacem 2 Coclite, Giuseppe Maria 2 Dang, Jian 2 Degtyarev, Sergeĭ Petrovich 2 Dias Silva, Flávio Roberto 2 Ding, Liang ...and 363 more Authors all top 5 Cited in 141 Serials 41 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 37 Journal of Mathematical Analysis and Applications 22 Journal of Differential Equations 17 Boundary Value Problems 13 Mathematical Methods in the Applied Sciences 12 Applicable Analysis 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Applied Mathematics Letters 9 Computers & Mathematics with Applications 9 Evolution Equations and Control Theory 8 Nonlinear Analysis. Real World Applications 6 Journal of Mathematical Physics 6 Applied Mathematics and Computation 6 Discrete and Continuous Dynamical Systems. Series S 6 Journal of Function Spaces 5 NoDEA. Nonlinear Differential Equations and Applications 5 Discrete and Continuous Dynamical Systems. Series B 5 Communications on Pure and Applied Analysis 4 Applied Mathematics and Optimization 4 Mathematische Nachrichten 4 Discrete and Continuous Dynamical Systems 4 Abstract and Applied Analysis 4 Journal of Dynamical and Control Systems 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Mediterranean Journal of Mathematics 4 Electronic Research Archive 3 Mathematical Notes 3 Transactions of the American Mathematical Society 3 Acta Applicandae Mathematicae 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Calculus of Variations and Partial Differential Equations 3 Turkish Journal of Mathematics 3 Journal of Inequalities and Applications 3 Differential Equations 3 Advances in Mathematical Physics 3 Advances in Nonlinear Analysis 3 SN Partial Differential Equations and Applications 2 Archive for Rational Mechanics and Analysis 2 Mathematics of Computation 2 Reviews in Mathematical Physics 2 Numerische Mathematik 2 Quaestiones Mathematicae 2 Quarterly of Applied Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Asymptotic Analysis 2 Journal of Scientific Computing 2 Journal of Integral Equations and Applications 2 Communications in Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 2 Journal of Dynamics and Differential Equations 2 Milan Journal of Mathematics 2 Central European Journal of Mathematics 2 Journal of Function Spaces and Applications 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences 2 Arabian Journal of Mathematics 1 International Journal of Control 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Engineering Mathematics 1 Journal of the Franklin Institute 1 Nonlinearity 1 Ukrainian Mathematical Journal 1 Acta Mathematica Vietnamica 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Calcolo 1 Demonstratio Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Kyungpook Mathematical Journal 1 Mathematics and Computers in Simulation 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Revista de la Unión Matemática Argentina 1 Semigroup Forum 1 Studies in Applied Mathematics 1 Systems & Control Letters 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series A 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Optimization 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Mathematica Bohemica 1 The Journal of Geometric Analysis 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Partial Differential Equations 1 Journal of Nonlinear Science 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Journal of Applied Analysis 1 European Journal of Control ...and 41 more Serials all top 5 Cited in 28 Fields 401 Partial differential equations (35-XX) 63 Mechanics of deformable solids (74-XX) 30 Systems theory; control (93-XX) 21 Operator theory (47-XX) 21 Numerical analysis (65-XX) 14 Fluid mechanics (76-XX) 12 Integral equations (45-XX) 10 Ordinary differential equations (34-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Mechanics of particles and systems (70-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Probability theory and stochastic processes (60-XX) 4 Functional analysis (46-XX) 3 Real functions (26-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Biology and other natural sciences (92-XX) 2 Operations research, mathematical programming (90-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year