## Abstract It is shown that the Cauchy problem in β for the strongly degenerate parabolic equation has a nonnegative weak solution for any nonnegative bounded continuous initial datum, provided that __q__ β€ __p__ β 1, while there is no (continuous) weak solution for __q__ > __p__ β 1. The evoluti
On degenerate diffusion with very strong absorption
β Scribed by Bernhard Kawohl; Robert Kersner
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 352 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0170-4214
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β¦ Synopsis
Abstract
We prove the existence of weak global solutions to the degenerate diffusion equation (1) with singular absorption term. Moreover we investigate the regularity up to the quenching time and we show by means of explicit solutions that our regularity results are optimal.
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