On degenerate diffusion with very strong absorption

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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Bibliographic Details
Main Authors: Kawohl, Bernhard (Author) , Kersner, Robert (Author)
Format: Article (Journal)
Language:English
Published: 1992
In: Mathematical methods in the applied sciences
Year: 1992, Volume: 15, Issue: 7, Pages: 469-477
ISSN:1099-1476
DOI:10.1002/mma.1670150703
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1002/mma.1670150703
Verlag, lizenzpflichtig, Volltext: https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.1670150703
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Author Notes:Bernhard Kawohl, Robert Kersner
Description
Summary: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.
Item Description:Gesehen am 28.06.2023
Physical Description:Online Resource
ISSN:1099-1476
DOI:10.1002/mma.1670150703