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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
