Approximation of solutions to linear integro-differential parabolic equations in L^p-spaces
Articolo
Data di Pubblicazione:
2007
Citazione:
Approximation of solutions to linear integro-differential parabolic equations
in L^p-spaces / A. Lorenzi, F. Messina. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 333:2(2007), pp. 642-656.
Abstract:
In this paper we show that, under suitable assumptions, the solutions to the approximating initial and boundary value problems (Pε) (cf. introduction) converge in Lp((0,T);Ls(Ω)), for suitable indexes p[1,+∞) and s[1,+∞), to the solution to the limit problem (P0). The last two Sections 4–5 are devoted to a similar approximation result, in a Banach-space framework, and involve a generalization of the kernels k, h and operator A.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Linear parabolic integro-partial differential equations ; Limit problems ; Analytic semigroups
Elenco autori:
A. Lorenzi, F. Messina
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