Finite-Time Stabilization in Problems with Free Boundary for Nonlinear Equations in Media with Fractal Geometry

Autor:	A. A. Berezovskii, M. Kh. Shkhanukov-Lafishev, Yu. A. Mitropol'skii
Rok vydání:	2005
Předmět:	Nonlinear system Fractal Basis (linear algebra) General Mathematics Fractal derivative Mathematical analysis Free boundary problem Boundary (topology) A priori and a posteriori Energy (signal processing) Mathematics
Zdroj:	Ukrainian Mathematical Journal. 57:1177-1182
ISSN:	1573-9376 0041-5995
DOI:	10.1007/s11253-005-0254-z
Popis:	By the method of a priori estimates, we establish differential inequalities for energy norms in W2, r1 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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::314a75868418aba4e6a3939e1cdd7f96 https://doi.org/10.1007/s11253-005-0254-z Zobrazit plný text záznamu Plný text ve formátu PDF