We study a nonsteady transmission problem across either a fractal layer S or the corresponding prefractal layer Sh. The transmission condition is of order two. Existence, uniqueness, and regularity results for the strict solution, in both cases, are established as well as convergence results for the solutions of the approximating problems in varying Hilbert spaces. © 2010 Society for Industrial and Applied Mathematics.
Irregular heat flow problems / Lancia, Maria Rosaria; Vernole, Paola. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - STAMPA. - 42:4(2010), pp. 1539-1567. [10.1137/090761173]
Irregular heat flow problems
LANCIA, Maria Rosaria;VERNOLE, Paola
2010
Abstract
We study a nonsteady transmission problem across either a fractal layer S or the corresponding prefractal layer Sh. The transmission condition is of order two. Existence, uniqueness, and regularity results for the strict solution, in both cases, are established as well as convergence results for the solutions of the approximating problems in varying Hilbert spaces. © 2010 Society for Industrial and Applied Mathematics.File allegati a questo prodotto
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