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Analysis of Divergence pp 545–567Cite as

Quasiasymptotics at zero and nonlinear problems in a framework of Colombeau generalized functions

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Part of the book series: Applied and Numerical Harmonic Analysis ((ANHA))

Abstract

We give a survey of basic properties of the G-quasiasymptotics and its applications to nonlinear problems in a framework of Colombeau algebra of generalized functions. We show that solutions to certain nonlinear systems of PDEs and nonlinear integral equations inherit the G-quasiasymptotics of the initial data, or of the free terms.

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Authors
  1. S. Pilipović
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  2. M. Stojanović
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Statistics, University of Maine, Orono, ME, 04469, USA

    William O. Bray

  2. Department of Mathematics and Statistics, University of Missouri, Rolla Bldg 202, Rolla, MO, 65409, USA

    Časlav V. Stanojević

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© 1999 Birkhäuser Boston

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Pilipović, S., Stojanović, M. (1999). Quasiasymptotics at zero and nonlinear problems in a framework of Colombeau generalized functions. In: Bray, W.O., Stanojević, Č.V. (eds) Analysis of Divergence. Applied and Numerical Harmonic Analysis. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2236-1_30

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  • DOI: https://doi.org/10.1007/978-1-4612-2236-1_30

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-7467-4

  • Online ISBN: 978-1-4612-2236-1

  • eBook Packages: Springer Book Archive

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