Abstract. In this paper, we deal with the semilinear wave equation with strong damping. By choosing a suitable state space, we characterize the interpolation and extrapolation spaces of the operator matrix Aθ, analysis the criticality of the ε-regular nonlinearity with critical growth. Finally, we investigate the global existence of the ε-regular solutions which have bounded X1/2×X norms on their existence intervals. 1. Introduction an
This dissertation deals with the global well-posedness of the nonlinear wave equation [special chara...
We consider attractors A(eta), eta epsilon [0, 1], corresponding to a singularly perturbed damped wa...
AbstractWe consider attractors Aη, η∈[0,1], corresponding to a singularly perturbed damped wave equa...
We consider the global existence of strong solution u, corresponding to a class of fully nonlinear w...
This paper is concerned with the semilinear strongly damped wave equation $\ptt u-\Delta \pt u-\Delt...
In this paperweconsider theCauchy problem for the semilinear dampedwave equationutt -.u + ut = h(u),...
In this paper we obtain global well-posedness results for the strongly damped wave equation utt + (−...
A weak formulation for the so-called semilinear strongly damped wave equation with constraint is int...
We prove the existence of a global attractor for a strongly damped semilinear wave equation in the ...
AbstractWe present a new method of investigating the so-called quasi-linear strongly-damped wave equ...
We study the initial-boundary value problem for the sublinear wave equations with a linear dampping ...
We prove the existence of the universal attractor for the strongly damped semilinear wave equation, ...
In this article we focus on the global well-posedness of the differential equation u tt - Δu + |u| k...
A strongly damped wave equation including the displacement depending nonlinear damping term and nonl...
This dissertation deals with the global well-posedness of the nonlinear wave equation [special chara...
We consider attractors A(eta), eta epsilon [0, 1], corresponding to a singularly perturbed damped wa...
AbstractWe consider attractors Aη, η∈[0,1], corresponding to a singularly perturbed damped wave equa...
We consider the global existence of strong solution u, corresponding to a class of fully nonlinear w...
This paper is concerned with the semilinear strongly damped wave equation $\ptt u-\Delta \pt u-\Delt...
In this paperweconsider theCauchy problem for the semilinear dampedwave equationutt -.u + ut = h(u),...
In this paper we obtain global well-posedness results for the strongly damped wave equation utt + (−...
A weak formulation for the so-called semilinear strongly damped wave equation with constraint is int...
We prove the existence of a global attractor for a strongly damped semilinear wave equation in the ...
AbstractWe present a new method of investigating the so-called quasi-linear strongly-damped wave equ...
We study the initial-boundary value problem for the sublinear wave equations with a linear dampping ...
We prove the existence of the universal attractor for the strongly damped semilinear wave equation, ...
In this article we focus on the global well-posedness of the differential equation u tt - Δu + |u| k...
A strongly damped wave equation including the displacement depending nonlinear damping term and nonl...
This dissertation deals with the global well-posedness of the nonlinear wave equation [special chara...
We consider attractors A(eta), eta epsilon [0, 1], corresponding to a singularly perturbed damped wa...
AbstractWe consider attractors Aη, η∈[0,1], corresponding to a singularly perturbed damped wave equa...