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Article Dans Une Revue Journal of Mathematical Analysis and Applications Année : 2008

Generalized solutions of singular differential problems. Relationship with classical solutions

Résumé

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.

Dates et versions

hal-01529550 , version 1 (31-05-2017)

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Antoine Delcroix, Victor Devoue, Jean-André Marti. Generalized solutions of singular differential problems. Relationship with classical solutions. Journal of Mathematical Analysis and Applications, 2008, 353, pp.386-402. ⟨10.1016/j.jmaa.2008.11.077⟩. ⟨hal-01529550⟩
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