## A gradient estimate to a degenerate parabolic equation with a singular absorption term : the global quenching phenomena

- Nguyen Anh Dao, Jesus Ildefonso Dı́az
- 2015

@inproceedings{Kawohl2014RemarksOQ, title={Remarks on Quenching}, author={B. Kawohl}, year={2014} }

- Published 2014

Consider the parabolic problem u t div (a(u;ru)ru) = u p (1) for t > 0, x 2 R n under initial and boundary conditions u = 1, say. Since p is assumed positive, the right hand side becomes singular as u ! 0. When u reaches zero in nite or in nite time, one says that the solution quenches in nite or in nite time. This article gives a survey of results on this kind of problem and emphasizes those that have been obtained at the SFB 123 in Heidelberg. It is an updated version of an invited survey… CONTINUE READING