Abstract
This paper continues a study on the initial-boundary value problem for a nonlinear parabolic equation of forth order which was presented by Johnson-Orme- Hunt-Graff-Sudijono-Sauder-Orr (9) for describing the process of growth of a crystal surface under molecular beam epitaxy(MBE). In the previous papers (5, 6), we have constructed a dynamical system determined from the model equation and have studied asymptotic behavior of solutions. This paper is then devoted to investigating stability or instability of homogeneous stationary solution. Using the instability dimension, we will make a lower dimension estimate for the attractor of the dynamical system constructed in (5).
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