The aim of this work is to obtain convergence results for the solutions of transmission problems across highly conductive layers of pre-fractal type from the point of view of homogenization. We prove the M-convergence of the energy functionals to an energy functional which incorporates a singular term, supported within the layer. From the convergence of the energy functionals we deduce the convergence of the approximating solutions to the limit solution in a suitable sense

Homogenization for conductive thin layers of prefractal type / Lancia, Maria Rosaria; U., Mosco; Vivaldi, Maria Agostina. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 347:(2008), pp. 354-369. [10.1016/j.jmaa.2008.06.011]

Homogenization for conductive thin layers of prefractal type

LANCIA, Maria Rosaria;VIVALDI, Maria Agostina
2008

Abstract

The aim of this work is to obtain convergence results for the solutions of transmission problems across highly conductive layers of pre-fractal type from the point of view of homogenization. We prove the M-convergence of the energy functionals to an energy functional which incorporates a singular term, supported within the layer. From the convergence of the energy functionals we deduce the convergence of the approximating solutions to the limit solution in a suitable sense
2008
Pre-fractal singular homogenization; Weighted elliptic operators; Transmission problems
01 Pubblicazione su rivista::01a Articolo in rivista
Homogenization for conductive thin layers of prefractal type / Lancia, Maria Rosaria; U., Mosco; Vivaldi, Maria Agostina. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 347:(2008), pp. 354-369. [10.1016/j.jmaa.2008.06.011]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/229774
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