Qualitative properties for a class of non-autonomous semi-linear \(3^{RD}\) order PDE arising in dissipative problems

zbMATH Open1241.35043arXiv1001.2245MaRDI QIDQ2884751

G. Fiore, A. D'anna

Publication date: 18 May 2012

Abstract: 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' $sigma$.

Full work available at URL: https://arxiv.org/abs/1001.2245

zbMATH Keywords

Liapunov functionals

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61)

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