A semilinear parabolic transmission problem across either a fractal layer S or the corresponding prefractal layer S-h 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. (C) 2012 Elsevier Ltd. All rights reserved.

Semilinear evolution transmission problems across fractal layers / Lancia, Maria Rosaria; Vernole, Paola. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - ELETTRONICO. - 75:11(2012), pp. 4222-4240. [10.1016/j.na.2012.03.011]

Semilinear evolution transmission problems across fractal layers

LANCIA, Maria Rosaria;VERNOLE, Paola
2012

Abstract

A semilinear parabolic transmission problem across either a fractal layer S or the corresponding prefractal layer S-h 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. (C) 2012 Elsevier Ltd. All rights reserved.
2012
trace theorems; second order transmission problems; asymptotic convergence; von koch surfaces; transmission problems; semigroups; global existence and uniqueness of semilinear parabolic equations; energy forms; fractals; semilinear parabolic equations
01 Pubblicazione su rivista::01a Articolo in rivista
Semilinear evolution transmission problems across fractal layers / Lancia, Maria Rosaria; Vernole, Paola. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - ELETTRONICO. - 75:11(2012), pp. 4222-4240. [10.1016/j.na.2012.03.011]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/440834
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