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How many jumps? Variational characterization of the limit solution of a singular perturbation problem

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Part of the Lecture Notes in Mathematics book series (LNM,volume 810)

Keywords

  • Dual Problem
  • Lower Semicontinuous
  • Maximal Monotone
  • Maximal Monotone Operator
  • Singular Perturbation Problem

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References

  1. BRÉZIS, H., Opérateurs Maximaux Monotones et Semi-groupes de Contractions dans les Espaces de Hilbert, Math. Studies, 5, North-Holland, 1973.

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  2. DIEKMANN, O., D. HILHORST & L.A. PELETIER, A singular boundary value problem arising in a pre-breakdown gas discharge, SIAM J. Appl. Math., in press.

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  3. EKELAND, I. & R. TÉMAM, Analyse Convexe et Problèmes Variationnels, Dunod, Paris, 1974.

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  4. GRASMAN, J. & B.J. MATKOWSKY, A variational approach to Ssingularly perturbed boundary value problems for ordinary and partial differential equations with turning points, SIAM J. Appl. Math. 32, 588–597 (1977).

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  5. MARTINI, R., Differential operators degenerating at the boundary as infinitesimal generators of semi-groups, Ph.D. thesis, Delft Technological Univ., Delft, The Netherlands, 1975.

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© 1980 Springer-Verlag

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Diekmann, O., Hilhorst, D. (1980). How many jumps? Variational characterization of the limit solution of a singular perturbation problem. In: Martini, R. (eds) Geometrical Approaches to Differential Equations. Lecture Notes in Mathematics, vol 810. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089980

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  • DOI: https://doi.org/10.1007/BFb0089980

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10018-8

  • Online ISBN: 978-3-540-38166-2

  • eBook Packages: Springer Book Archive