AbstractWe consider the initial value problem for a class of second order evolution equations that includes, among others, the 3D sine-Gordon equation with damping and the 3D Klein-Gordon type equations with damping. We show the existence of a set with finite fractal dimension that contains the global attractor and attracts all smooth solutions at an exponential rate
Long time behavior of a semilinear wave equation with nonlinear boundary dissipation is considered. ...
Under consideration is the damped semilinear wave equation $$ u_{tt}+u_t-\Delta u+u+f(u)=0 $$ in...
AbstractWe consider the periodic initial-boundary value problem for a multidimensional generalized B...
AbstractWe consider the initial value problem for a class of second order evolution equations that i...
We consider a one-dimensional weakly damped wave equation, with a damping coefficient depending on t...
We prove the existence of the universal attractor for the strongly damped semilinear wave equation, ...
Long-time behavior of a semilinear wave equation with nonlinear boundary dissipation is considered. ...
AbstractWe study a semilinear hyperbolic problem, written as a second-order evolution equation in an...
AbstractWe construct an exponential attractor for a second order lattice dynamical system with nonli...
In this paper, we study the initial boundary value problem for two-dimensional strongly damped wave ...
We consider a semilinear wave equation, defined on a two-dimensional bounded domain Ω, with a nonlin...
AbstractWe present a new method of investigating the so-called quasi-linear strongly-damped wave equ...
AbstractWe consider a semilinear wave equation, defined on a two-dimensional bounded domain Ω, with ...
We address the study of a weakly damped wave equation in space-dimension two, with a damping coeffic...
We prove existence of global attractors for semilinear damped wave equations of the form $$ \aligna...
Long time behavior of a semilinear wave equation with nonlinear boundary dissipation is considered. ...
Under consideration is the damped semilinear wave equation $$ u_{tt}+u_t-\Delta u+u+f(u)=0 $$ in...
AbstractWe consider the periodic initial-boundary value problem for a multidimensional generalized B...
AbstractWe consider the initial value problem for a class of second order evolution equations that i...
We consider a one-dimensional weakly damped wave equation, with a damping coefficient depending on t...
We prove the existence of the universal attractor for the strongly damped semilinear wave equation, ...
Long-time behavior of a semilinear wave equation with nonlinear boundary dissipation is considered. ...
AbstractWe study a semilinear hyperbolic problem, written as a second-order evolution equation in an...
AbstractWe construct an exponential attractor for a second order lattice dynamical system with nonli...
In this paper, we study the initial boundary value problem for two-dimensional strongly damped wave ...
We consider a semilinear wave equation, defined on a two-dimensional bounded domain Ω, with a nonlin...
AbstractWe present a new method of investigating the so-called quasi-linear strongly-damped wave equ...
AbstractWe consider a semilinear wave equation, defined on a two-dimensional bounded domain Ω, with ...
We address the study of a weakly damped wave equation in space-dimension two, with a damping coeffic...
We prove existence of global attractors for semilinear damped wave equations of the form $$ \aligna...
Long time behavior of a semilinear wave equation with nonlinear boundary dissipation is considered. ...
Under consideration is the damped semilinear wave equation $$ u_{tt}+u_t-\Delta u+u+f(u)=0 $$ in...
AbstractWe consider the periodic initial-boundary value problem for a multidimensional generalized B...
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