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A strongly degenerate diffusion equation with strong absorption
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| Zeitschriftentitel: | Mathematische Nachrichten |
|---|---|
| Personen und Körperschaften: | |
| In: | Mathematische Nachrichten, 277, 2004, 1, S. 83-101 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Wiley
|
| Schlagwörter: |
| author_facet |
Winkler, Michael Winkler, Michael |
|---|---|
| author |
Winkler, Michael |
| spellingShingle |
Winkler, Michael Mathematische Nachrichten A strongly degenerate diffusion equation with strong absorption General Mathematics |
| author_sort |
winkler, michael |
| spelling |
Winkler, Michael 0025-584X 1522-2616 Wiley General Mathematics http://dx.doi.org/10.1002/mana.200310221 <jats:title>Abstract</jats:title><jats:p>It is shown that the Cauchy problem in ℝ for the strongly degenerate parabolic equation</jats:p><jats:p><jats:disp-formula> </jats:disp-formula></jats:p><jats:p>has a nonnegative weak solution for any nonnegative bounded continuous initial datum, provided that <jats:italic>q</jats:italic> ≤ <jats:italic>p</jats:italic> – 1, while there is no (continuous) weak solution for <jats:italic>q</jats:italic> > <jats:italic>p</jats:italic> – 1. The evolution of the spatial positivity set {<jats:italic>u</jats:italic>(<jats:italic>t</jats:italic>) > 0}, continuity of the free boundary and the extinction rate are also investigated. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)</jats:p> A strongly degenerate diffusion equation with strong absorption Mathematische Nachrichten |
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Wiley, 2004 |
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Wiley, 2004 |
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0025-584X 1522-2616 |
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2004 |
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Wiley |
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Mathematische Nachrichten |
| source_id |
49 |
| title |
A strongly degenerate diffusion equation with strong absorption |
| title_unstemmed |
A strongly degenerate diffusion equation with strong absorption |
| title_full |
A strongly degenerate diffusion equation with strong absorption |
| title_fullStr |
A strongly degenerate diffusion equation with strong absorption |
| title_full_unstemmed |
A strongly degenerate diffusion equation with strong absorption |
| title_short |
A strongly degenerate diffusion equation with strong absorption |
| title_sort |
a strongly degenerate diffusion equation with strong absorption |
| topic |
General Mathematics |
| url |
http://dx.doi.org/10.1002/mana.200310221 |
| publishDate |
2004 |
| physical |
83-101 |
| description |
<jats:title>Abstract</jats:title><jats:p>It is shown that the Cauchy problem in ℝ for the strongly degenerate parabolic equation</jats:p><jats:p><jats:disp-formula>
</jats:disp-formula></jats:p><jats:p>has a nonnegative weak solution for any nonnegative bounded continuous initial datum, provided that <jats:italic>q</jats:italic> ≤ <jats:italic>p</jats:italic> – 1, while there is no (continuous) weak solution for <jats:italic>q</jats:italic> > <jats:italic>p</jats:italic> – 1. The evolution of the spatial positivity set {<jats:italic>u</jats:italic>(<jats:italic>t</jats:italic>) > 0}, continuity of the free boundary and the extinction rate are also investigated. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)</jats:p> |
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| author | Winkler, Michael |
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| description | <jats:title>Abstract</jats:title><jats:p>It is shown that the Cauchy problem in ℝ for the strongly degenerate parabolic equation</jats:p><jats:p><jats:disp-formula> </jats:disp-formula></jats:p><jats:p>has a nonnegative weak solution for any nonnegative bounded continuous initial datum, provided that <jats:italic>q</jats:italic> ≤ <jats:italic>p</jats:italic> – 1, while there is no (continuous) weak solution for <jats:italic>q</jats:italic> > <jats:italic>p</jats:italic> – 1. The evolution of the spatial positivity set {<jats:italic>u</jats:italic>(<jats:italic>t</jats:italic>) > 0}, continuity of the free boundary and the extinction rate are also investigated. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)</jats:p> |
| doi_str_mv | 10.1002/mana.200310221 |
| facet_avail | Online |
| format | ElectronicArticle |
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| id | ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTAwMi9tYW5hLjIwMDMxMDIyMQ |
| imprint | Wiley, 2004 |
| imprint_str_mv | Wiley, 2004 |
| institution | DE-D275, DE-Bn3, DE-Brt1, DE-D161, DE-Gla1, DE-Zi4, DE-15, DE-Rs1, DE-Pl11, DE-105, DE-14, DE-Ch1, DE-L229 |
| issn | 0025-584X, 1522-2616 |
| issn_str_mv | 0025-584X, 1522-2616 |
| language | English |
| last_indexed | 2024-03-01T15:15:25.169Z |
| match_str | winkler2004astronglydegeneratediffusionequationwithstrongabsorption |
| mega_collection | Wiley (CrossRef) |
| physical | 83-101 |
| publishDate | 2004 |
| publishDateSort | 2004 |
| publisher | Wiley |
| record_format | ai |
| recordtype | ai |
| series | Mathematische Nachrichten |
| source_id | 49 |
| spelling | Winkler, Michael 0025-584X 1522-2616 Wiley General Mathematics http://dx.doi.org/10.1002/mana.200310221 <jats:title>Abstract</jats:title><jats:p>It is shown that the Cauchy problem in ℝ for the strongly degenerate parabolic equation</jats:p><jats:p><jats:disp-formula> </jats:disp-formula></jats:p><jats:p>has a nonnegative weak solution for any nonnegative bounded continuous initial datum, provided that <jats:italic>q</jats:italic> ≤ <jats:italic>p</jats:italic> – 1, while there is no (continuous) weak solution for <jats:italic>q</jats:italic> > <jats:italic>p</jats:italic> – 1. The evolution of the spatial positivity set {<jats:italic>u</jats:italic>(<jats:italic>t</jats:italic>) > 0}, continuity of the free boundary and the extinction rate are also investigated. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)</jats:p> A strongly degenerate diffusion equation with strong absorption Mathematische Nachrichten |
| spellingShingle | Winkler, Michael, Mathematische Nachrichten, A strongly degenerate diffusion equation with strong absorption, General Mathematics |
| title | A strongly degenerate diffusion equation with strong absorption |
| title_full | A strongly degenerate diffusion equation with strong absorption |
| title_fullStr | A strongly degenerate diffusion equation with strong absorption |
| title_full_unstemmed | A strongly degenerate diffusion equation with strong absorption |
| title_short | A strongly degenerate diffusion equation with strong absorption |
| title_sort | a strongly degenerate diffusion equation with strong absorption |
| title_unstemmed | A strongly degenerate diffusion equation with strong absorption |
| topic | General Mathematics |
| url | http://dx.doi.org/10.1002/mana.200310221 |