Note: This listing contains only selected current publications after
year 2000. For the complete list of publications, please refer to my CV.
R. Ikehata, G. Todorova and B. Yordanov,
Critical exponent for semilinear wave equations with space-dependent potential,
submitted
-- paper in pdf format
G. Todorova, D. Ugurlu, and B. Yordanov,
Regularity and scattering for the wave equation with a critical nonlinear damping,
Journal Math. Society of Japan, to appear
-- paper in pdf format
P. Radu, G. Todorova and B. Yordanov,
Decay estimates for hyperbolic equations with variable coefficients,
Trans. Amer. Math. Soc., to appear
-- paper in pdf format
M. Ohta and G. Todorova,
Remarks on global existence and blowup for damped nonlinear
Schrödinger equations,
Discr. and Contin. Dyn. Systems, to appear
-- paper in pdf format
G. Todorova, D. Ugurlu and B. Yordanov,
Asymptotic behavior and regularity for nonlinear dissipative wave equations in
Rn ,
Proceedings of the 6th ISAAC Congress in the special session of Dissipative
Equations, Turkey, August, 2007, to appear
-- paper in pdf format
M. Ohta and G. Todorova,
Strong instability of standing waves for the nonlinear
Klein-Gordon equation and the nonlinear Klein-Gordon-Zakharov system,
SIAM Journal of Math. Analysis, 38, (2007), 1912-1931,
-- paper in pdf format
G. Todorova and B. Yordanov,
The energy decay problems for wave equations with nonlinear dissipative term in
Rn,
Indiana Math. Jour., 56, (2007), 389-416,
-- paper in pdf format
G. Todorova and B. Yordanov,
Nonlinear dissipative wave equations with potential,
AMS Contemporary Mathematics, 426, (2007), 317-337
-- paper in pdf format
Yue Liu, Masahito Ohta and Grozdena Todorova,
Strong instability of solitary waves for nonlinear Klein-Gordon equations
and generalized Boussinesq Equations,
Ann. Inst. Henri Poincaré, Analyse Non Linéaire, 24, (2007), 539-548,
-- paper in pdf format
G. Todorova and B. Yordanov,
Weighted
L2-estimates
for dissipative wave equations with variable coefficients,
to appear
-- paper in pdf format
M. Ohta and G. Todorova,
Instability of standing waves for nonlinear Klein-Gordon equation and
related systems,
GAKUTO Intern. Series, Math. Sc. and Appl.,
Nonlinear Dispersive Equations, 26, (2006), 189-200
-- paper in pdf format
G. Todorova and E. Vitillaro,
Blow-up for nonlinear dissipative
wave equations in
Rn,
J. Math. Analysis and Appl., 303, (2005), 242-257
-- paper in pdf format
M. Ohta and G. Todorova,
Strong blow-up instability of standing waves for nonlinear Klein-Gordon equation,
Discr. and Cont. Dyn. Systems, 12, (2005), 315-322.
-- paper in pdf format
G. Todorova, Dynamics of nonlinear wave equations, J. Math. Methods in Appl. Sc., 27, (2004), 1831-1841.
J. Serrin, G. Todorova and E. Vitillaro,
Existence for a nonlinear wave equation with damping and source terms,
Differential and Integral Eq., 16, (2003), 13-50
-- paper in pdf format
G. Todorova and B. Yordanov,
Critical exponent for the wave equation with damping,
Journal Diff. Eq., 174, (2001), 464-489
-- paper in pdf format
H. A. Levine and G. Todorova,
Blow up of Solutions of the Cauchy problem for a wave
equation with nonlinear damping and source terms and large initial energy,
Proc. Amer. Math. Soc., 129, (2001), 793-805
-- paper in pdf format
G. Todorova,
Cauchy problem for a nonlinear wave equation with nonlinear damping and
source terms,
Nonlinear Anal. TMA, 41, (2000), 891-905
-- paper in pdf format
G. Todorova and B. Yordanov,
Critical exponent for the wave equation with damping,
C. R. Acad. Sci. Paris, 330, (2000), 557-562
-- paper in pdf format