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STUDIA MATHEMATICA - Issue no. 4 / 2006 | |||||||
Article: |
HOMOGENIZATION WITH MULTIPLE SCALE EXPANSION ON SELFSIMILAR STRUCTURES. Authors: J. KOLUMBÁN, A. SOÓS. |
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Abstract: The homogenization theory is devoted to analysis of partialdifferential equations with rapidly oscillating coefficients. Let Ak be agiven partial differential operator and we consider the equation Akuk = f, together with the appropriate boundary initial conditions. Here and . We are interested in studying the solutions of this system inthe limit as k → oo | |||||||