Abstract Parabolic Evolution Equations And Ojasiewicz-simon Inequality Ii Applic - Atsushi Yagi

This Second Volume Continues The Study On Asymptotic Convergence Of Global Solutions Of Parabolic Equations To Stationary Solutions By Utilizing The Theory Of Abstract Parabolic Evolution Equations And The Lojasiewicz-simon Gradient Inequality. In The First Volume Of The Same Title, After Setting The Abstract Frameworks Of Arguments, A General Convergence Theorem Was Proved Under The Four Structural Assumptions Of Critical Condition, Lyapunov Function, Angle Condition, And Gradient Inequality. In This Volume, With Those Abstract Results Reviewed Briefly, Their Applications To Concrete Parabolic Equations Are Described.chapter 3 Presents A Discussion Of Semilinear Parabolic Equations Of Second Order In General N-dimensional Spaces, And Chapter 4 Is Devoted To Treating Epitaxial Growth Equations Of Fourth Order, Which Incorporate General Roughening Functions.