Add to ORKGIn this paper, we consider the semi-linear wave systems with power-nonlinearities and a large class of space-dependent damping and potential. We obtain the same blow-up regions and the lifespan estimates for three types wave systems, compared with the systems without damping and potential.Comment: 21 pages. arXiv admin note: substantial text overlap with arXiv:2209.0292
AbstractIn this work we obtain results on the estimates of low Sobolev norms for solutions of some n...
summary:Let $\Omega$ be a bounded open subset of $\Bbb R^n$, let $X=(x,t)$ be a point of $\Bbb R^n\t...
summary:Let $\Omega$ be a bounded open subset of $\Bbb R^n$, let $X=(x,t)$ be a point of $\Bbb R^n\t...
In this paper, we investigate the lifespan estimates of classical solutions of the initial value pro...
AbstractWe consider the Cauchy problem for the system of semilinear damped wave equations with small...
AbstractWe prove upper bounds on the life span of positive solutions for a semilinear heat equation....
We derive a $L^1_x (\mathbb R^d)-L^{\infty}_x ( \mathbb R^d)$ decay estimate of order $\mathcal O \l...
AbstractIn this paper, the authors study the equation ut=div(|Du|p−2Du)+|u|q−1u−λ|Du|l in RN with p>...
AbstractIn this note, we prove the global well posedness and the local energy decay for semilinear w...
AbstractThe goal of this work is the high frequency approximation of bounded energy solutions to the...
Contains a correction with respect to the printed versionWe provide sharp estimates for the number o...
AbstractIn this paper we prove the exponential decay in the case n>2, as time goes to infinity, of r...
AbstractIn this paper, we study the asymptotic estimates of the positive integrable solutions of an ...
summary:In this paper we consider the existence and asymptotic behavior of solutions of the followin...
In the paper by Klainerman, Rodnianski and Tao \cite{Klainerman-Rodnianski-Tao}, they give a physica...
AbstractIn this work we obtain results on the estimates of low Sobolev norms for solutions of some n...
summary:Let $\Omega$ be a bounded open subset of $\Bbb R^n$, let $X=(x,t)$ be a point of $\Bbb R^n\t...
summary:Let $\Omega$ be a bounded open subset of $\Bbb R^n$, let $X=(x,t)$ be a point of $\Bbb R^n\t...
In this paper, we investigate the lifespan estimates of classical solutions of the initial value pro...
AbstractWe consider the Cauchy problem for the system of semilinear damped wave equations with small...
AbstractWe prove upper bounds on the life span of positive solutions for a semilinear heat equation....
We derive a $L^1_x (\mathbb R^d)-L^{\infty}_x ( \mathbb R^d)$ decay estimate of order $\mathcal O \l...
AbstractIn this paper, the authors study the equation ut=div(|Du|p−2Du)+|u|q−1u−λ|Du|l in RN with p>...
AbstractIn this note, we prove the global well posedness and the local energy decay for semilinear w...
AbstractThe goal of this work is the high frequency approximation of bounded energy solutions to the...
Contains a correction with respect to the printed versionWe provide sharp estimates for the number o...
AbstractIn this paper we prove the exponential decay in the case n>2, as time goes to infinity, of r...
AbstractIn this paper, we study the asymptotic estimates of the positive integrable solutions of an ...
summary:In this paper we consider the existence and asymptotic behavior of solutions of the followin...
In the paper by Klainerman, Rodnianski and Tao \cite{Klainerman-Rodnianski-Tao}, they give a physica...
AbstractIn this work we obtain results on the estimates of low Sobolev norms for solutions of some n...
summary:Let $\Omega$ be a bounded open subset of $\Bbb R^n$, let $X=(x,t)$ be a point of $\Bbb R^n\t...
summary:Let $\Omega$ be a bounded open subset of $\Bbb R^n$, let $X=(x,t)$ be a point of $\Bbb R^n\t...