On the Cauchy Problem for a Degenerate Parabolic Equation
Michael Winkler
Universität Paderborn, Germany
![On the Cauchy Problem for a Degenerate Parabolic Equation cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-zaa-volume-20-issue-3.png&w=3840&q=90)
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