Existence, uniqueness and stability for a class of third order dissipative problems depending on time
Mathematical Physics
2013-04-04 v1 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1210.6834,
title = {Existence, uniqueness and stability for a class of third order dissipative problems depending on time},
author = {Armando D'Anna and Gaetano Fiore},
journal= {arXiv preprint arXiv:1210.6834},
year = {2013}
}
Comments
Latex file, 20 pages, 7 figures. To appear in "Nonlinear Analysis: Theory, Methods & Applications"