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Waiting Time Phenomena for Degenerate Parabolic Equations — A Unifying Approach

In: Geometric Analysis and Nonlinear Partial Differential Equations

Author

Listed:
  • Roberta Dal Passo

    (Universitlà di Roma “Tor Vergata”, Dipartimento di Matematica)

  • Lorenzo Giacomelli

    (Universitlà di Roma “La Sapienza”, Dipartimento Me.Mo.Mat.)

  • Günther Grün

    (Universität Bonn, Institut für Angewandte Mathematik)

Abstract

The aim of this contribution is to present a new approach to establish the occurrence of waiting time phenomena for solutions to degenerate parabolic equations. Originally developed by the authors in [15] for the thin film equation 1 $$ {\text{u}}_t + div(u^n \nabla \Delta u) = 0, $$ it may in fact be used for a broad class of degenerate parabolic equations having divergence structure.

Suggested Citation

  • Roberta Dal Passo & Lorenzo Giacomelli & Günther Grün, 2003. "Waiting Time Phenomena for Degenerate Parabolic Equations — A Unifying Approach," Springer Books, in: Stefan Hildebrandt & Hermann Karcher (ed.), Geometric Analysis and Nonlinear Partial Differential Equations, pages 637-648, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-55627-2_33
    DOI: 10.1007/978-3-642-55627-2_33
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