Qualitative properties for a class of non-autonomous semi-linear 3rd order PDE arising in dissipative problems

Physics – Mathematical Physics

Scientific paper

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Latex File, 8 pages. Talk given at the "15th International Conference on Waves and Stability in Continuous Media" (WASCOM09),

Scientific paper

We improve results regarding the stability and attractivity of solutions $u$
of a large class of initial-boundary-value problems characterized by a
semi-linear third order equation which may contain time-dependent coefficients.
In the proof we use Liapunov functionals $W$ depending on two parameters, which
we adapt to the 'error' $\sigma$.

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