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 | 113 | 2006 |

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 | 81 | 2009 |

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 | 75 | 2009 |

Effects of multiscale anisotropy on basin and hyporheic groundwater flow VA Zlotnik, MB Cardenas, D Toundykov GroundWater 49 (4), 576-583, 2011 | 54 | 2011 |

Optimal decay rates for solutions of a nonlinear wave equation with localized nonlinear dissipation of unrestricted growth and critical exponent source terms under mixed … D Toundykov Nonlinear Analysis: Theory, Methods & Applications 67 (2), 512-544, 2007 | 48 | 2007 |

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 | 46 | 2011 |

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 | 45 | 2008 |

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 | 31 | 2012 |

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 | 31 | 2008 |

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 | 30 | 2009 |

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 | 30 | 2009 |

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 | 23 | 2014 |

Geometrically constrained stabilization of wave equations with Wentzell boundary conditions MM Cavalcanti, I Lasiecka, D Toundykov Applicable Analysis 91 (8), 1427-1452, 2012 | 21 | 2012 |

Weak solutions and blow-up for wave equations of *p*-Laplacian type with supercritical sourcesP Pei, MA Rammaha, D Toundykov Journal of Mathematical Physics 56 (8), 081503, 2015 | 18 | 2015 |

Well-posedness analysis for a linearization of a fluid-elasticity interaction L Bociu, D Toundykov, JP Zolésio SIAM Journal on Mathematical Analysis 47 (3), 1958-2000, 2015 | 18 | 2015 |

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 | 18 | 2014 |

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 | 15 | 2014 |

Convex integrals on Sobolev spaces V Barbu, Y Guo, MA Rammaha, D Toundykov J. Convex Anal 19 (3), 837-852, 2012 | 15 | 2012 |

Finite-dimensional attractor for a composite system of wave/plate equations with localized damping F Bucci, D Toundykov Nonlinearity 23 (9), 2271, 2010 | 15 | 2010 |

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 | 13 | 2017 |