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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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
1992
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| 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 |
| Author Notes: | Bernhard Kawohl, Robert Kersner |
| 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. |
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| Item Description: | Gesehen am 28.06.2023 |
| Physical Description: | Online Resource |
| ISSN: | 1099-1476 |
| DOI: | 10.1002/mma.1670150703 |