**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
***R*** ^{n} ,
*
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
***R*** ^{n},
*
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
*L^{2}*-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
***R*** ^{n},
*
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

Last Update: July 2008

jd