Title of article
Generalized solutions of singular differential problems. Relationship with classical solutions
Author/Authors
Delcroix، نويسنده , , Antoine and Dévoué، نويسنده , , Victor and Marti، نويسنده , , Jean-André Maragi، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2009
Pages
17
From page
386
To page
402
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.
Keywords
Nonlinear generalized functions , Nonlinear problems , Characteristic problems , wave equation , Regularization of problems , Regularization of data , Distributions
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2009
Journal title
Journal of Mathematical Analysis and Applications
Record number
1559980
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