Friday, October 26, 2012

1210.6834 (Armando D'Anna et al.)

Existence, uniqueness and stability for a class of third order
dissipative problems depending on time

Armando D'Anna, Gaetano Fiore
We prove new results regarding the existence, uniqueness, (eventual) boundedness, (total) stability and attractivity of the solutions of a class of initial-boundary-value problems characterized by a quasi-linear third order equation which may contain time-dependent coefficients. The class includes equations arising in Superconductor Theory and in the Theory of Viscoelastic Materials. In the proof we use a Liapunov functional V depending on two parameters, which we adapt to the characteristics of the problem.
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