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Coercive singular perturbations: Reduction and convergence

Part I: Theory of Singular Perturbations

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Part of the Lecture Notes in Mathematics book series (LNM,volume 942)

Abstract

General coercive singular perturbations are reduced to regular ones, using an algebra of singularly perturbed Wiener-Hopf type operators. High order asymptotic formulae, also for non-smooth data, are indicated and sharp error estimates are established.

Keywords

  • Singular Perturbation
  • Pseudodifferential Operator
  • Principal Symbol
  • Coerciveness Condition
  • Smooth Vector Field

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References

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© 1982 Springer-Verlag

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Frank, L.S., Wendt, W.D. (1982). Coercive singular perturbations: Reduction and convergence. In: Eckhaus, W., de Jager, E.M. (eds) Theory and Applications of Singular Perturbations. Lecture Notes in Mathematics, vol 942. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0094739

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  • DOI: https://doi.org/10.1007/BFb0094739

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11584-7

  • Online ISBN: 978-3-540-39332-0

  • eBook Packages: Springer Book Archive