English

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

Mathematical Physics 2017-08-23 v1 math.MP

Abstract

We improve results regarding the stability and attractivity of solutions uu 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 WW depending on two parameters, which we adapt to the 'error' σ\sigma.

Keywords

Cite

@article{arxiv.1001.2245,
  title  = {Qualitative properties for a class of non-autonomous semi-linear 3rd order PDE arising in dissipative problems},
  author = {Armando D'Anna and Gaetano Fiore},
  journal= {arXiv preprint arXiv:1001.2245},
  year   = {2017}
}

Comments

Latex File, 8 pages. Talk given at the "15th International Conference on Waves and Stability in Continuous Media" (WASCOM09), Mondello, Palermo (Sicily), 28/6-1/07/2009. Submitted fot the Proceedings