The Cauchy problem for degenerate parabolic equations with source and damping
We prove optimal estimates for the decay of mass of solutions to the Cauchy problem for a wide class of quasilinear parabolic equations with damping terms. In the degenerate case, we also prove estimates for the finite speed of propagation. When the equation contains also a blow up term, we discuss...
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| Veröffentlicht in: | Український математичний вісник |
|---|---|
| Datum: | 2004 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2004
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/124607 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | The Cauchy problem for degenerate parabolic equations with source and damping / D. Andreucci, A. F. Tedeev, M. Ughi // Український математичний вісник. — 2004. — Т. 1, № 1. — С. 1-20. — Бібліогр.: 30 назв. — англ. |
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Andreucci, D. Tedeev, A.F. Ughi, M. 2017-09-30T08:03:36Z 2017-09-30T08:03:36Z 2004 The Cauchy problem for degenerate parabolic equations with source and damping / D. Andreucci, A. F. Tedeev, M. Ughi // Український математичний вісник. — 2004. — Т. 1, № 1. — С. 1-20. — Бібліогр.: 30 назв. — англ. 1810-3200 2000 MSC. 35B40, 35B33, 35K65, 35K55. https://nasplib.isofts.kiev.ua/handle/123456789/124607 We prove optimal estimates for the decay of mass of solutions to the Cauchy problem for a wide class of quasilinear parabolic equations with damping terms. In the degenerate case, we also prove estimates for the finite speed of propagation. When the equation contains also a blow up term, we discuss existence and nonexistence of global solutions. en Інститут прикладної математики і механіки НАН України Український математичний вісник The Cauchy problem for degenerate parabolic equations with source and damping Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
The Cauchy problem for degenerate parabolic equations with source and damping |
| spellingShingle |
The Cauchy problem for degenerate parabolic equations with source and damping Andreucci, D. Tedeev, A.F. Ughi, M. |
| title_short |
The Cauchy problem for degenerate parabolic equations with source and damping |
| title_full |
The Cauchy problem for degenerate parabolic equations with source and damping |
| title_fullStr |
The Cauchy problem for degenerate parabolic equations with source and damping |
| title_full_unstemmed |
The Cauchy problem for degenerate parabolic equations with source and damping |
| title_sort |
cauchy problem for degenerate parabolic equations with source and damping |
| author |
Andreucci, D. Tedeev, A.F. Ughi, M. |
| author_facet |
Andreucci, D. Tedeev, A.F. Ughi, M. |
| publishDate |
2004 |
| language |
English |
| container_title |
Український математичний вісник |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
We prove optimal estimates for the decay of mass of solutions to the Cauchy problem for a wide class of quasilinear parabolic equations with damping terms. In the degenerate case, we also prove estimates for the finite speed of propagation. When the equation contains also a blow up term, we discuss existence and nonexistence of global solutions.
|
| issn |
1810-3200 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/124607 |
| citation_txt |
The Cauchy problem for degenerate parabolic equations with source and damping / D. Andreucci, A. F. Tedeev, M. Ughi // Український математичний вісник. — 2004. — Т. 1, № 1. — С. 1-20. — Бібліогр.: 30 назв. — англ. |
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2025-12-07T20:41:09Z |
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