Daniel Toundykov
Title
Cited by
Cited by
Year
Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms
I Lasiecka, D Toundykov
Nonlinear Analysis: Theory, Methods & Applications 64 (8), 1757-1797, 2006
1132006
Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions
M Daoulatli, I Lasiecka, D Toundykov
Discrete & Continuous Dynamical Systems-S 2 (1), 67, 2009
812009
On existence, uniform decay rates and blow up for solutions of systems of nonlinear wave equations with damping and source terms
CO Alves, MM Cavalcanti, VND Cavalcanti, MA Rammaha, D Toundykov
Discrete & Continuous Dynamical Systems-S 2 (3), 583, 2009
752009
Effects of multiscale anisotropy on basin and hyporheic groundwater flow
VA Zlotnik, MB Cardenas, D Toundykov
GroundWater 49 (4), 576-583, 2011
542011
Optimal decay rates for solutions of a nonlinear wave equation with localized nonlinear dissipation of unrestricted growth and critical exponent source terms under mixedá…
D Toundykov
Nonlinear Analysis: Theory, Methods & Applications 67 (2), 512-544, 2007
482007
On a wave equation with supercritical interior and boundary sources and damping terms
L Bociu, M Rammaha, D Toundykov
Mathematische Nachrichten 284 (16), 2032-2064, 2011
462011
Long-term dynamics of semilinear wave equation with nonlinear localized interior damping and a source term of critical exponent
I Chueshov, I Lasiecka, D Toundykov
Discrete & Continuous Dynamical Systems-A 20 (3), 459, 2008
452008
Wave equation with damping affecting only a subset of static Wentzell boundary is uniformly stable
M Cavalcanti, I Lasiecka, D Toundykov
Transactions of the American Mathematical Society 364 (11), 5693-5713, 2012
312012
Regularity of higher energies of wave equation with nonlinear localized damping and a nonlinear source
I Lasiecka, D Toundykov
Nonlinear Analysis: Theory, Methods & Applications 69 (3), 898-910, 2008
312008
Global attractor for a wave equation with nonlinear localized boundary damping and a source term of critical exponent
I Chueshov, I Lasiecka, D Toundykov
Journal of Dynamics and Differential Equations 21 (2), 269, 2009
302009
Stabilization of the damped wave equation with Cauchy–Ventcel boundary conditions
MM Cavalcanti, VND Cavalcanti, R Fukuoka, D Toundykov
Journal of Evolution Equations 9 (1), 143-169, 2009
302009
Local and global well-posedness of semilinear Reissner–Mindlin–Timoshenko plate equations
P Pei, MA Rammaha, D Toundykov
Nonlinear Analysis: Theory, Methods & Applications 105, 62-85, 2014
232014
Geometrically constrained stabilization of wave equations with Wentzell boundary conditions
MM Cavalcanti, I Lasiecka, D Toundykov
Applicable Analysis 91 (8), 1427-1452, 2012
212012
Weak solutions and blow-up for wave equations of p-Laplacian type with supercritical sources
P Pei, MA Rammaha, D Toundykov
Journal of Mathematical Physics 56 (8), 081503, 2015
182015
Well-posedness analysis for a linearization of a fluid-elasticity interaction
L Bociu, D Toundykov, JP ZolÚsio
SIAM Journal on Mathematical Analysis 47 (3), 1958-2000, 2015
182015
Hadamard well-posedness for a hyperbolic equation of viscoelasticity with supercritical sources and damping
Y Guo, MA Rammaha, S Sakuntasathien, ES Titi, D Toundykov
Journal of Differential Equations 257 (10), 3778-3812, 2014
182014
Global well-posedness and stability of semilinear Mindlin–Timoshenko system
P Pei, MA Rammaha, D Toundykov
Journal of Mathematical Analysis and Applications 418 (2), 535-568, 2014
152014
Convex integrals on Sobolev spaces
V Barbu, Y Guo, MA Rammaha, D Toundykov
J. Convex Anal 19 (3), 837-852, 2012
152012
Finite-dimensional attractor for a composite system of wave/plate equations with localized damping
F Bucci, D Toundykov
Nonlinearity 23 (9), 2271, 2010
152010
A nonlocal biharmonic operator and its connection with the classical analogue
P Radu, D Toundykov, J Trageser
Archive for Rational Mechanics and Analysis 223 (2), 845-880, 2017
132017
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Articles 1–20