Article ID Journal Published Year Pages File Type
4620471 Journal of Mathematical Analysis and Applications 2009 17 Pages PDF
Abstract

We discuss various methods of regularization of singular differential problems. Their common point is that we use the flexibility of the theories of nonlinear generalized functions for adapting the regularization to the singularity of the problem. We particularly underline the relationship between the generalized solutions and those classical or distribution, when they exist, giving a general result for the case of the regularization of data.

Related Topics
Physical Sciences and Engineering Mathematics Analysis