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Todorova, Grozdena Hr.

Author ID: todorova.grozdena-hr Recent zbMATH articles by "Todorova, Grozdena Hr."
Published as: Todorova, Grozdena; Todorova, G.; Todorova, Grozdena Hr.; Todorova, G. H.
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

Publications by Year

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 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

Citations by Year