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pro vyhledávání: '"Zahra, Arioui Fatima"'
Autor:
Said, Khaldi, Zahra, Arioui Fatima
We consider the Cauchy problem in $\mathbb{R}^{n}$ for wave and beam equations with frictional, viscoelastic damping, and a new power nonlinearity. In addition to the solution and its total energy, we define the following quantity: $$Q[u](t):=\|u_{t}
Externí odkaz:
http://arxiv.org/abs/2405.17274
Our aim in this paper is to discuss the critical exponent in semi-linear structurally damped wave and beam equations with additional dispersion term. The special model we have in mind is $$ u_{tt}(t,x)+(-\Delta)^{\sigma}u(t,x)+(-\Delta)^{2\delta}u(t,
Externí odkaz:
http://arxiv.org/abs/2404.01544
Autor:
Said, Khaldi, Zahra, Arioui Fatima
The motivation of the present study is to discuss the global (in time) existence of small data solutions to the following semi-linear structurally damped $\sigma$-evolution models: \begin{equation*} \partial_{tt}u+(-\Delta)^{\sigma}u+(-\Delta)^{\sigm
Externí odkaz:
http://arxiv.org/abs/2106.12286