Finite-Time Stabilization in Problems with Free Boundary for Nonlinear Equations in Media with Fractal Geometry
2005
By the method of a priori estimates, we establish differential inequalities for energy norms in W 2, r 1 of solutions of problems with free boundary for a one-dimensional evolution equation in a medium with fractal geometry. On the basis of these inequalities, we obtain estimates for the stabilization time T.
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