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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…