On the Cauchy Problem for a Degenerate Parabolic Equation

  • Michael Winkler

    Universität Paderborn, Germany

Abstract

Existence and uniqueness of global positive solutions to the degenerate parabolic problem

with satisfying and for are investigated. It is proved that, without any further conditions on , decay of in space implies uniform zero convergence of as . Furthermore, for a certain class of functions explicit decay rates are established.

Cite this article

Michael Winkler, On the Cauchy Problem for a Degenerate Parabolic Equation. Z. Anal. Anwend. 20 (2001), no. 3, pp. 677–690

DOI 10.4171/ZAA/1038