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ISSN: 0373-3505    frecuency : 4   format : Electrónica

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Volume 58 Number 1 Year 2003

10 articles in this issue 

Silvio Greco, Karlheinz Kiyek

Let a be a regular local two-dimensional ring, and let m = (x, y) be its maximal ideal. Let m > n > 1 be coprime integers, and let p be the integral closure of the ideal (x^m , y^n ). Then p is a simple complete m-primary ideal, and its value semigr... see more

Pags. 3 - 33  

Alexander Blokhin, Eugenia Mishchenko

     In the article, a modified initial-boundary value problem on stability of shock waves in a viscous gas is constructed and studied.

Pags. 35 - 49  

Paola Cristofori

We introduce a generalization of the regular genus, a combinatorial invariant of PL manifolds ([10]), which is proved to be strictly related, in dimension three, to generalized Heegaard splittings defined in [12].

Pags. 51 - 65  

Paolo Manselli, Francesco Ragnedda

The spectrum of a second order elliptic operator S, with ellipticity constant a discontinuous in a point, is studied in L^p spaces. It turns out that, for (a, p) in a set A, classical results for the spectrum of smooth elliptic operators (see e.g. [3]) re... see more

Pags. 67 - 93  

Dumitru Motreanu

The aim of this note is to point out that the basic argument in the proof of Theorem 2 in [5] does not work. Comments on this topic are given.

Pags. 95 - 99  

Bogdan Sasu

We present a new approach for the theorems of Perron type for exponential expansiveness of one-parameter semigroups in terms of l^p(N, X) spaces. We prove that an exponentially bounded semigroup is exponentially expansive if and only if the pair (l^p (N, ... see more

Pags. 101 - 115  

Antonio Giudeppe Di Falco

      In this paper we deal with the existence of weak solutions for the Neumann problem.                       &nb... see more

Pags. 117 - 130  

Roberto Argiolas

In this paper we consider a two phases variational problem related to a functional F. In particular we obtain results about the smoothness of the free boundary {u = 0}.

Pags. 131 - 148  

Tomonari Suzuki

In this short paper, we prove fixed point theorems for nonexpansive mappings whose domains are unbounded subsets of Banach spaces. These theorems are generalizations of Penot's result in [4].

Pags. 149 - 157  

Maria Flavia Mammana

Geometric transformations have been included in school programs since long now.

Pags. 159 - 172