The numbers and the functions full generalized of Colombeau: algebraic

ISBN-13: 9786202023009 / Angielski / Miękka / 2017 / 88 str.

Antonio Garcia

Opis

The present book speaks about the topological ring of Colombeau's full generalized numbers, the space of Colombeau's full generalized functions and an aplications. We generalize a result of existence and uniqueness of solution for a boundary-initial value problem of the parabolic type which has been studied by Colombeau and Langlais, 1990. For this, we apply the topological results such as density and completude already explicited in the same chapter of the problem.

O autorze

Graduated in Licentiate in Sciences with Qualification in Mathematics by the State University of Rio Grande do Norte in 1993, Master in Sciences in the area of Mathematics by the University of São Paulo (IME-USP) in 2001 and Doctor in Sciences in the area of Mathematics by the same university in 2006.