Local regularity in non-linear generalized functions

Authors

  • Stevan Pilipovic Department of Mathematics, University of Novi Sad,
  • D. Scarpalezos University of Paris
  • Jasson Vindas Ghent University

DOI:

https://doi.org/10.11606/issn.2316-9028.v7i2p173-191

Keywords:

Algebras of generalized functions, function space, regularity theory

Abstract

In this review article we present regularity properties of generalized functions which are useful in the analysis of non-linear problems. It is shown that Schwartz distributions embedded into our new spaces of generalized functions, with additional properties described through the association, belong to various classical spaces with finite or infinite type of regularities.

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Issue

Vol. 7 No. 2 (2013)

Section

Articles

How to Cite

Local regularity in non-linear generalized functions. (2013). The São Paulo Journal of Mathematical Sciences, 7(2), 173-191. https://doi.org/10.11606/issn.2316-9028.v7i2p173-191