3 papers
math.AP2008
Differential Calculus and Integration of Generalized Functions over Membranes
J. Aragona, R. Fernandez, S. O. Juriaans +1
In this paper we continue the development of the differential calculus started by Aragona-Ferandez-Juriaans. Guided by the topology introduced recently by those authors we introduc…
math.AP2008
Generalized Solutions of a Nonlinear Parabolic Equation with Generalized Functions as Initial Data
Jorge Aragona, Antonio Ronaldo Gomes Garcia, Stanley Orlando Juriaans
In \cite{bf} Brézis and Friedman prove that certain nonlinear parabolic equations, with the -measure as initial data, have no solution. However in \cite{cl} Colombeau and Langla…
math.FA2008
Natural Topologies on Colombeau Algebras
J. Aragona, R. Fernandez, S. O. Juriaans
We define natural topologies on the Colombeau algebras which are compatible with the algebraic structure. These topologies reduces do Scarpalezos sharp topologies when restricted.…