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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| Опубліковано в: : | Український математичний вісник |
|---|---|
| Дата: | 2004 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2004
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| Онлайн доступ: | 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 |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862745550315585536 |
|---|---|
| author | Andreucci, D. Tedeev, A.F. Ughi, M. |
| author_facet | Andreucci, D. Tedeev, A.F. Ughi, M. |
| 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. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| 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.
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| first_indexed | 2025-12-07T20:41:09Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-124607 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-07T20:41:09Z |
| publishDate | 2004 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | The Cauchy problem for degenerate parabolic equations with source and damping Andreucci, D. Tedeev, A.F. Ughi, M. |
| title | 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_short | The Cauchy problem for degenerate parabolic equations with source and damping |
| title_sort | cauchy problem for degenerate parabolic equations with source and damping |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/124607 |
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