Add to ORKGWe study the initial-boundary value problem for the sublinear wave equations with a linear dampping : u" - △u - ω△u' + δu' = γlulp-2u with the homogeneous Dirichlet boundary condition and H10(Ω) x L2(Ω)-data condition under ω ≥ 0 and δ > -ωλ1. When 1<p<2, we show that the (local) weak solutions are global and uniformly bounded in time t≥0
AbstractWe consider a mixed problem of a damped wave equation utt−Δu+ut=|u|p in the two dimensional ...
A weak formulation for the so-called semilinear strongly damped wave equation with constraint is int...
AbstractThe existence of periodic solution and a certain decay property for the nonlinear dissipativ...
A class of damped wave equations with superlinear source term is considered. It is shown that every ...
Abstract. In this paper, we deal with the semilinear wave equation with strong damping. By choosing ...
Let a > 0, Omega subset of R(N) be a bounded smooth domain and - A denotes the Laplace operator with...
In this article we focus on the global well-posedness of the differential equation u tt - Δu + |u| k...
AbstractWe consider the Cauchy problem for the system of semilinear damped wave equations with small...
AbstractIn this paper we consider the existence of a local solution in time to a weakly damped wave ...
AbstractIn this paper,we prove the existence, uniqueness and uniform stability of strong and weak so...
A n-dimensional quasiliner wave equation with nonlinear boundary dissipation is considered. Global e...
AbstractIn this paper, we consider the damped wave equation with space–time dependent potential b(t,...
In this note, we prove the global existence of small data solutions for a semilinear wave equation w...
In this paper, we consider the blow-up for solutions to a weakly coupled system of semilinear damped...
We consider attractors A(eta), eta epsilon [0, 1], corresponding to a singularly perturbed damped wa...
AbstractWe consider a mixed problem of a damped wave equation utt−Δu+ut=|u|p in the two dimensional ...
A weak formulation for the so-called semilinear strongly damped wave equation with constraint is int...
AbstractThe existence of periodic solution and a certain decay property for the nonlinear dissipativ...
A class of damped wave equations with superlinear source term is considered. It is shown that every ...
Abstract. In this paper, we deal with the semilinear wave equation with strong damping. By choosing ...
Let a > 0, Omega subset of R(N) be a bounded smooth domain and - A denotes the Laplace operator with...
In this article we focus on the global well-posedness of the differential equation u tt - Δu + |u| k...
AbstractWe consider the Cauchy problem for the system of semilinear damped wave equations with small...
AbstractIn this paper we consider the existence of a local solution in time to a weakly damped wave ...
AbstractIn this paper,we prove the existence, uniqueness and uniform stability of strong and weak so...
A n-dimensional quasiliner wave equation with nonlinear boundary dissipation is considered. Global e...
AbstractIn this paper, we consider the damped wave equation with space–time dependent potential b(t,...
In this note, we prove the global existence of small data solutions for a semilinear wave equation w...
In this paper, we consider the blow-up for solutions to a weakly coupled system of semilinear damped...
We consider attractors A(eta), eta epsilon [0, 1], corresponding to a singularly perturbed damped wa...
AbstractWe consider a mixed problem of a damped wave equation utt−Δu+ut=|u|p in the two dimensional ...
A weak formulation for the so-called semilinear strongly damped wave equation with constraint is int...
AbstractThe existence of periodic solution and a certain decay property for the nonlinear dissipativ...