Edit Profile (opens in new tab) Todorova, Grozdena Hr. Co-Author Distance Author ID: todorova.grozdena-hr Published as: Todorova, Grozdena; Todorova, G.; Todorova, Grozdena Hr.; Todorova, G. H. more...less Homepage: https://www.math.utk.edu/~todorova/ External Links: Math-Net.Ru Documents Indexed: 38 Publications since 1974 Co-Authors: 13 Co-Authors with 31 Joint Publications 377 Co-Co-Authors all top 5 Co-Authors 7 single-authored 16 Yordanov, Borislav T. 5 Ohta, Masahito 4 Radu, Petronela 3 Christov, K. 3 Georgiev, Vladimir S. 3 Ikehata, Ryo 2 Uǧurlu, Davut 2 Vitillaro, Enzo 1 Levine, Howard Allen 1 Liu, Yue 1 Phan, Tuoc Van 1 Serrin, James 1 Taylor, Montgomery all top 5 Serials 6 Journal of Differential Equations 3 Doklady Bolgarskoĭ Akademii Nauk 3 Discrete and Continuous Dynamical Systems 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Journal of Mathematical Analysis and Applications 2 Journal of the Mathematical Society of Japan 2 Transactions of the American Mathematical Society 2 SIAM Journal on Mathematical Analysis 1 Mathematical Methods in the Applied Sciences 1 Funkcialaj Ekvacioj. Serio Internacia 1 Indiana University Mathematics Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Soviet Mathematics. Doklady 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Differential and Integral Equations 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Discrete and Continuous Dynamical Systems. Series S 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 36 Partial differential equations (35-XX) 2 Algebraic geometry (14-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Number theory (11-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 1,285 times in 835 Documents Cited by ▼ Year ▼ Existence of a solution of the wave equation with nonlinear damping and source terms. Zbl 0803.35092 Georgiev, Vladimir; Todorova, Grozdena 354 1994 Critical exponent for a nonlinear wave equation with damping. Zbl 0994.35028 Todorova, Grozdena; Yordanov, Borislav 230 2001 Wave equations with strong damping in Hilbert spaces. Zbl 1272.35157 Ikehata, Ryo; Todorova, Grozdena; Yordanov, Borislav 70 2013 Blow up of solutions of the Cauchy problem for a wave equation with nonlinear damping and source terms and positive initial energy. Zbl 0956.35087 Levine, Howard A.; Todorova, Grozdena 56 2001 Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms. Zbl 0967.35095 Todorova, Grozdena 51 2000 Weighted \(L^2\)-estimates for dissipative wave equations with variable coefficients. Zbl 1173.35032 Todorova, Grozdena; Yordanov, Borislav 49 2009 Stable and unstable sets for the Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms. Zbl 0934.35095 Todorova, Grozdena 41 1999 Blow up for nonlinear dissipative wave equations in \(\mathbb R^n\). Zbl 1065.35200 Todorova, Grozdena; Vitillaro, Enzo 37 2005 Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms. Zbl 0922.35095 Todorova, Grozdena 36 1998 Existence for a nonlinear wave equation with damping and source terms. Zbl 1036.35146 Serrin, James; Todorova, Grozdena; Vitillaro, Enzo 36 2003 Remarks on global existence and blowup for damped nonlinear Schrödinger equations. Zbl 1155.35456 Ohta, Masahito; Todorova, Grozdena 36 2009 Strong instability of standing waves for the nonlinear Klein-Gordon equation and the Klein-Gordon-Zakharov system. Zbl 1128.35074 Ohta, Masahito; Todorova, Grozdena 34 2007 Critical exponent for semilinear wave equations with space-dependent potential. Zbl 1191.35183 Ikehata, Ryo; Todorova, Grozdena; Yordanov, Borislav 33 2009 Diffusion phenomenon in Hilbert spaces and applications. Zbl 1215.35097 Radu, Petronela; Todorova, Grozdena; Yordanov, Borislav 31 2011 Optimal decay rate of the energy for wave equations with critical potential. Zbl 1267.35034 Ikehata, Ryo; Todorova, Grozdena; Yordanov, Borislav 31 2013 Decay estimates for wave equations with variable coefficients. Zbl 1194.35065 Radu, Petronela; Todorova, Grozdena; Yordanov, Borislav 25 2010 Higher order energy decay rates for damped wave equations with variable coefficients. Zbl 1181.35024 Radu, Petronela; Todorova, Grozdena; Yordanov, Borislav 21 2009 The generalized diffusion phenomenon and applications. Zbl 1331.35241 Radu, Petronela; Todorova, Grozdena; Yordanov, Borislav 20 2016 The energy decay problem for wave equations with nonlinear dissipative terms in \(\mathbb R^n\). Zbl 1119.35006 Todorova, Grozdena; Yordanov, Borislav 19 2007 Strong instability of solitary waves for nonlinear Klein-Gordon equations and generalized Boussinesq equations. Zbl 1120.35013 Liu, Yue; Ohta, Masahito; Todorova, Grozdena 17 2007 Nonlinear dissipative wave equations with potential. Zbl 1130.35095 Todorova, Grozdena; Yordanov, Borislav 17 2007 Strong instability of standing waves for nonlinear Klein-Gordon equations. Zbl 1065.35198 Ohta, Masahito; Todorova, Grozdena 16 2005 Critical exponent for a nonlinear wave equation with damping. Zbl 0951.35085 Todorova, Grozdena; Yordanov, Borislav 10 2000 Regularity and scattering for the wave equation with a critical nonlinear damping. Zbl 1180.35363 Todorova, Grozdena; Uğurlu, Davut; Yordanov, Borislav 4 2009 Stable and unstable sets for the Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms. Zbl 0923.35099 Todorova, Grozdena 4 1999 Dynamics of nonlinear wave equations. Zbl 1065.35004 Todorova, Grozdena 4 2004 Global solution for three-dimensional weak viscosity. Zbl 0830.35081 Georgiev, V.; Todorova, G. 1 1994 Existence and blow-up of solutions of some nonlinear parabolic problems. Zbl 0692.35057 Todorova, G.; Khristov, K. 1 1989 On the regularizing effect of nonlinear damping in hyperbolic equations. Zbl 1315.35049 Todorova, Grozdena; Yordanov, Borislav 1 2015 The generalized diffusion phenomenon and applications. Zbl 1331.35241 Radu, Petronela; Todorova, Grozdena; Yordanov, Borislav 20 2016 On the regularizing effect of nonlinear damping in hyperbolic equations. Zbl 1315.35049 Todorova, Grozdena; Yordanov, Borislav 1 2015 Wave equations with strong damping in Hilbert spaces. Zbl 1272.35157 Ikehata, Ryo; Todorova, Grozdena; Yordanov, Borislav 70 2013 Optimal decay rate of the energy for wave equations with critical potential. Zbl 1267.35034 Ikehata, Ryo; Todorova, Grozdena; Yordanov, Borislav 31 2013 Diffusion phenomenon in Hilbert spaces and applications. Zbl 1215.35097 Radu, Petronela; Todorova, Grozdena; Yordanov, Borislav 31 2011 Decay estimates for wave equations with variable coefficients. Zbl 1194.35065 Radu, Petronela; Todorova, Grozdena; Yordanov, Borislav 25 2010 Weighted \(L^2\)-estimates for dissipative wave equations with variable coefficients. Zbl 1173.35032 Todorova, Grozdena; Yordanov, Borislav 49 2009 Remarks on global existence and blowup for damped nonlinear Schrödinger equations. Zbl 1155.35456 Ohta, Masahito; Todorova, Grozdena 36 2009 Critical exponent for semilinear wave equations with space-dependent potential. Zbl 1191.35183 Ikehata, Ryo; Todorova, Grozdena; Yordanov, Borislav 33 2009 Higher order energy decay rates for damped wave equations with variable coefficients. Zbl 1181.35024 Radu, Petronela; Todorova, Grozdena; Yordanov, Borislav 21 2009 Regularity and scattering for the wave equation with a critical nonlinear damping. Zbl 1180.35363 Todorova, Grozdena; Uğurlu, Davut; Yordanov, Borislav 4 2009 Strong instability of standing waves for the nonlinear Klein-Gordon equation and the Klein-Gordon-Zakharov system. Zbl 1128.35074 Ohta, Masahito; Todorova, Grozdena 34 2007 The energy decay problem for wave equations with nonlinear dissipative terms in \(\mathbb R^n\). Zbl 1119.35006 Todorova, Grozdena; Yordanov, Borislav 19 2007 Strong instability of solitary waves for nonlinear Klein-Gordon equations and generalized Boussinesq equations. Zbl 1120.35013 Liu, Yue; Ohta, Masahito; Todorova, Grozdena 17 2007 Nonlinear dissipative wave equations with potential. Zbl 1130.35095 Todorova, Grozdena; Yordanov, Borislav 17 2007 Blow up for nonlinear dissipative wave equations in \(\mathbb R^n\). Zbl 1065.35200 Todorova, Grozdena; Vitillaro, Enzo 37 2005 Strong instability of standing waves for nonlinear Klein-Gordon equations. Zbl 1065.35198 Ohta, Masahito; Todorova, Grozdena 16 2005 Dynamics of nonlinear wave equations. Zbl 1065.35004 Todorova, Grozdena 4 2004 Existence for a nonlinear wave equation with damping and source terms. Zbl 1036.35146 Serrin, James; Todorova, Grozdena; Vitillaro, Enzo 36 2003 Critical exponent for a nonlinear wave equation with damping. Zbl 0994.35028 Todorova, Grozdena; Yordanov, Borislav 230 2001 Blow up of solutions of the Cauchy problem for a wave equation with nonlinear damping and source terms and positive initial energy. Zbl 0956.35087 Levine, Howard A.; Todorova, Grozdena 56 2001 Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms. Zbl 0967.35095 Todorova, Grozdena 51 2000 Critical exponent for a nonlinear wave equation with damping. Zbl 0951.35085 Todorova, Grozdena; Yordanov, Borislav 10 2000 Stable and unstable sets for the Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms. Zbl 0934.35095 Todorova, Grozdena 41 1999 Stable and unstable sets for the Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms. Zbl 0923.35099 Todorova, Grozdena 4 1999 Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms. Zbl 0922.35095 Todorova, Grozdena 36 1998 Existence of a solution of the wave equation with nonlinear damping and source terms. Zbl 0803.35092 Georgiev, Vladimir; Todorova, Grozdena 354 1994 Global solution for three-dimensional weak viscosity. Zbl 0830.35081 Georgiev, V.; Todorova, G. 1 1994 Existence and blow-up of solutions of some nonlinear parabolic problems. Zbl 0692.35057 Todorova, G.; Khristov, K. 1 1989 all cited Publications top 5 cited Publications all top 5 Cited by 729 Authors 45 Ikehata, Ryo 34 D’Abbicco, Marcello 25 Messaoudi, Salim A. 22 Wakasugi, Yuta 19 Rammaha, Mohammad A. 16 Ikeda, Masahiro 16 Kafini, Mohammad Mustafa 15 Charão, Ruy Coimbra 15 Liu, Wenjun 15 Sobajima, Motohiro 14 Nishihara, Kenji 14 Takeda, Hiroshi 13 Chen, Wenhui 13 Reissig, Michael 12 Ebert, Marcelo Rempel 12 Li, Shengjia 12 Piṣkin, Erhan 12 Said-Houari, Belkacem 11 Aliev, Akbar B. 11 Todorova, Grozdena Hr. 10 Cavalcanti, Marcelo Moreira 10 Ye, Yaojun 9 Esquivel-Avila, Jorge Alfredo 9 Korpusov, Maksim Olegovich 9 Palmieri, Alessandro 9 Samet, Bessem 9 Toundykov, Daniel 9 Xu, Runzhang 9 Yordanov, Borislav T. 8 Domingos Cavalcanti, Valéria Neves 8 Fino, Ahmad Z. 8 Guo, Yanqiu 8 Jleli, Mohamed Boussairi 8 Kirane, Mokhtar 8 Lai, Ningan 8 Wang, Mingxin 8 Zhang, Hongwei 7 da Luz, Cleverson Roberto 7 Dao, Tuan Anh 7 Dzhokhadze, Otar Mikhajlovich 7 Girardi, Giovanni 7 Hamza, Mohamed Ali 7 Liu, Gongwei 7 Ogbiyele, Paul Adewale 7 Saanouni, Tarek 7 Shahrouzi, Mohammad 7 Tatar, Nasser-eddine 6 Arawomo, Peter Olutola 6 Bae, Jeong Ja 6 Hayashi, Nakao 6 Inui, Takahisa 6 Lasiecka, Irena 6 Naumkin, Pavel Ivanovich 6 Ning, Zhenhu 6 Vitillaro, Enzo 6 Wakasa, Kyouhei 6 Wu, Shuntang 5 Benaissa, Abbes 5 Berbiche, Mohamed 5 Fujiwara, Kazumasa 5 Hu, Qingying 5 Kang, Jum-Ran 5 Kazimov, Anar A. 5 Liang, Fei 5 Mei, Liquan 5 Michihisa, Hironori 5 Mu, Chunlai 5 Ohta, Masahito 5 Park, Jong Yeoul 5 Park, SunHye 5 Shang, Yueqiang 5 Wang, Yanjin 5 Yang, Yanbing 5 Yao, Pengfei 5 Zaag, Hatem 5 Zennir, Khaled 4 Algharabli, Mohammad M. 4 Bociu, Lorena 4 Boulaaras, Salah Mahmoud 4 Boumaza, Nouri 4 Chai, Shugen 4 Feng, Hongyinping 4 Gao, Hongjun 4 Georgiev, Vladimir S. 4 Gheraibia, Billel 4 Hakem, Ali 4 Kharibegashvili, S. S. 4 Maouni, Messaoud 4 Mustafa, Muhammad Islam 4 Nakao, Mitsuhiro 4 Ogawa, Takayoshi 4 Ono, Kosuke 4 Ouaoua, Amar 4 Pei, Pei 4 Peyravi, Amir 4 Piske, Alessandra 4 Qiu, Hailong 4 Racke, Reinhard 4 Radu, Petronela 4 Royer, Julien ...and 629 more Authors all top 5 Cited in 185 Serials 89 Journal of Mathematical Analysis and Applications 73 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 59 Journal of Differential Equations 31 Mathematical Methods in the Applied Sciences 29 Applicable Analysis 22 NoDEA. Nonlinear Differential Equations and Applications 17 Boundary Value Problems 16 Computers & Mathematics with Applications 16 Communications on Pure and Applied Analysis 14 Nonlinear Analysis. Real World Applications 14 Journal of Evolution Equations 13 Journal of Mathematical Physics 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Applied Mathematics and Computation 12 Applied Mathematics Letters 12 Asymptotic Analysis 10 Journal of Hyperbolic Differential Equations 9 Transactions of the American Mathematical Society 9 Mediterranean Journal of Mathematics 8 Applied Mathematics and Optimization 8 Discrete and Continuous Dynamical Systems 7 Mathematische Nachrichten 7 Proceedings of the American Mathematical Society 7 Journal of Inequalities and Applications 7 Differential Equations 7 Discrete and Continuous Dynamical Systems. Series S 6 Journal of the Mathematical Society of Japan 6 Journal of Dynamics and Differential Equations 6 Evolution Equations and Control Theory 5 Journal of Functional Analysis 5 Zeitschrift für Analysis und ihre Anwendungen 5 Acta Applicandae Mathematicae 5 Numerical Methods for Partial Differential Equations 5 Communications in Partial Differential Equations 5 Abstract and Applied Analysis 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 AIMS Mathematics 4 Chinese Annals of Mathematics. Series B 4 Applied Numerical Mathematics 4 Computational Mathematics and Mathematical Physics 4 SIAM Journal on Mathematical Analysis 4 Journal of Dynamical and Control Systems 4 Discrete and Continuous Dynamical Systems. Series B 4 Advances in Difference Equations 4 Advances in Mathematical Physics 4 Journal of Function Spaces 4 Electronic Research Archive 3 Mathematical Notes 3 Rocky Mountain Journal of Mathematics 3 Ukrainian Mathematical Journal 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Mathematische Annalen 3 Quarterly of Applied Mathematics 3 Studies in Applied Mathematics 3 Physica D 3 Turkish Journal of Mathematics 3 Boletín de la Sociedad Matemática Mexicana. Third Series 3 Acta Mathematica Sinica. English Series 3 Advanced Nonlinear Studies 3 Boletim da Sociedade Paranaense de Matemática. Terceira Série 3 Electronic Journal of Mathematical Analysis and Applications EJMAA 3 Nonlinear Analysis. Theory, Methods & Applications 3 Open Mathematics 2 Archive for Rational Mechanics and Analysis 2 Indian Journal of Pure & Applied Mathematics 2 Nonlinearity 2 Theoretical and Mathematical Physics 2 Mathematics of Computation 2 Reviews in Mathematical Physics 2 Acta Mathematica Vietnamica 2 Journal of the Korean Mathematical Society 2 Mathematics and Computers in Simulation 2 Quaestiones Mathematicae 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 The Journal of Geometric Analysis 2 Journal of Partial Differential Equations 2 Calculus of Variations and Partial Differential Equations 2 Electronic Journal of Differential Equations (EJDE) 2 Computational and Applied Mathematics 2 Izvestiya: Mathematics 2 The Journal of Fourier Analysis and Applications 2 Mathematical Problems in Engineering 2 Journal of Applied Analysis 2 Doklady Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Fractional Calculus & Applied Analysis 2 Communications in Contemporary Mathematics 2 Lobachevskii Journal of Mathematics 2 Annales Henri Poincaré 2 Journal of Systems Science and Complexity 2 Journal of Applied Mathematics and Computing 2 Theoretical and Applied Mechanics 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Complex Analysis and Operator Theory 2 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences 2 Tbilisi Mathematical Journal 2 Advances in Pure and Applied Mathematics 2 Journal of Pseudo-Differential Operators and Applications ...and 85 more Serials all top 5 Cited in 29 Fields 814 Partial differential equations (35-XX) 96 Mechanics of deformable solids (74-XX) 45 Numerical analysis (65-XX) 36 Systems theory; control (93-XX) 34 Fluid mechanics (76-XX) 24 Operator theory (47-XX) 19 Dynamical systems and ergodic theory (37-XX) 19 Global analysis, analysis on manifolds (58-XX) 15 Integral equations (45-XX) 12 Quantum theory (81-XX) 11 Real functions (26-XX) 11 Ordinary differential equations (34-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Probability theory and stochastic processes (60-XX) 6 Functional analysis (46-XX) 5 Special functions (33-XX) 5 Abstract harmonic analysis (43-XX) 5 Optics, electromagnetic theory (78-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Relativity and gravitational theory (83-XX) 2 Measure and integration (28-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Citations by Year