In this paper, a nonlinear parabolic equation of the form for if , with nonlinear boundary condition is considered. It is proved that if , then the solutions blow up in finite time. Moreover, estimates on the blowup profile (in ) and the blowup rate (in ) for are derived.
Cite this article
Michel Chipot, Ján Filo, An Example of Blowup for a Degenerate Parabolic Equation with a Nonlinear Boundary Condition. Z. Anal. Anwend. 17 (1998), no. 1, pp. 89–102DOI 10.4171/ZAA/810