| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 840766 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 19 Pages |
Abstract
A semilinear parabolic transmission problem across either a fractal layer SS or the corresponding prefractal layer ShSh is studied. Local existence, uniqueness and regularity results for the mild solution, in both cases, are established as well as a sufficient condition on the initial datum for global existence is given. The asymptotic behaviour of the solutions of the approximating problems is studied.
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Authors
Maria Rosaria Lancia, Paola Vernole,