We deal with the initial and boundary value problem for the degenerate parabolic equation in the cylinder , where is bounded, , and (e.g., . We study the appearance of the free boundary, and prove under certain hypothesis on that the free boundary has a finite speed of propagation, and is Holder continuous. Further, we estimate the Lebesgue measure of the set where is small and obtain the non-degeneracy property .
Cite this article
Carsten Ebmeyer, A Non-Degeneracy Property for a Class of Degenerate Parabolic Equations. Z. Anal. Anwend. 15 (1996), no. 3, pp. 637–650DOI 10.4171/ZAA/720