1210.6834 (Armando D'Anna et al.)

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

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.

View original: http://arxiv.org/abs/1210.6834