We prove global existence of solutions and characterize their longtime behavior. In particular, we show the existence and finite fractal dimension of the global attractor of the generated semigroup and the convergence of solutions to an equilibrium solution when time tends to infinity.
Alessia E. Kogoj, Stefanie Sonner (2013). Attractors for a class of semi-linear degenerate parabolic equations. JOURNAL OF EVOLUTION EQUATIONS, 13, 675-691 [10.1007/s00028-013-0196-0].
Attractors for a class of semi-linear degenerate parabolic equations
KOGOJ, ALESSIA ELISABETTA;
2013
Abstract
We prove global existence of solutions and characterize their longtime behavior. In particular, we show the existence and finite fractal dimension of the global attractor of the generated semigroup and the convergence of solutions to an equilibrium solution when time tends to infinity.File in questo prodotto:
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