Attractors of reaction-diffusion equations with nonmonotone nonlinearity
In this paper we study the existence of global compact attractors for nonlinear parabolic equations of reaction-diffusion type. The studied equations are generated by a difference of subdifferential maps and are not assumed to have a unique solution for each initial state. Applications are given to...
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| Veröffentlicht in: | Нелинейные граничные задачи |
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| Datum: | 2000 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2000
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/169258 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Attractors of reaction-diffusion equations with nonmonotone nonlinearity / J. Valero // Нелинейные граничные задачи: сб. науч. тр. — 2000. — Т. 10. — С. 199-203. — Бібліогр.: 7 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862646098909200384 |
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| author | Valero, J. |
| author_facet | Valero, J. |
| citation_txt | Attractors of reaction-diffusion equations with nonmonotone nonlinearity / J. Valero // Нелинейные граничные задачи: сб. науч. тр. — 2000. — Т. 10. — С. 199-203. — Бібліогр.: 7 назв. — англ. |
| collection | DSpace DC |
| container_title | Нелинейные граничные задачи |
| description | In this paper we study the existence of global compact attractors for nonlinear parabolic equations of reaction-diffusion type. The studied equations are generated by a difference of subdifferential maps and are not assumed to have a unique solution for each initial state. Applications are given to inclusions modelling combustion in porous media and processes of transmission of electrical impulses in nerve axons.
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| first_indexed | 2025-12-01T11:09:48Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-169258 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0236-0497 |
| language | English |
| last_indexed | 2025-12-01T11:09:48Z |
| publishDate | 2000 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Valero, J. 2020-06-09T12:47:21Z 2020-06-09T12:47:21Z 2000 Attractors of reaction-diffusion equations with nonmonotone nonlinearity / J. Valero // Нелинейные граничные задачи: сб. науч. тр. — 2000. — Т. 10. — С. 199-203. — Бібліогр.: 7 назв. — англ. 0236-0497 2000 Mathematics Subject Classification. 58F39, 35B40, 35K55, 35K57 https://nasplib.isofts.kiev.ua/handle/123456789/169258 In this paper we study the existence of global compact attractors for nonlinear parabolic equations of reaction-diffusion type. The studied equations are generated by a difference of subdifferential maps and are not assumed to have a unique solution for each initial state. Applications are given to inclusions modelling combustion in porous media and processes of transmission of electrical impulses in nerve axons. I would like to thank Professor V.S. Melnik for his valuable help and support in this work.
 This work has been supported by PB-2-FS-97 grant (Fundacion Seneca (Comunidad Autonoma de Murcia)). en Інститут прикладної математики і механіки НАН України Нелинейные граничные задачи Attractors of reaction-diffusion equations with nonmonotone nonlinearity Article published earlier |
| spellingShingle | Attractors of reaction-diffusion equations with nonmonotone nonlinearity Valero, J. |
| title | Attractors of reaction-diffusion equations with nonmonotone nonlinearity |
| title_full | Attractors of reaction-diffusion equations with nonmonotone nonlinearity |
| title_fullStr | Attractors of reaction-diffusion equations with nonmonotone nonlinearity |
| title_full_unstemmed | Attractors of reaction-diffusion equations with nonmonotone nonlinearity |
| title_short | Attractors of reaction-diffusion equations with nonmonotone nonlinearity |
| title_sort | attractors of reaction-diffusion equations with nonmonotone nonlinearity |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/169258 |
| work_keys_str_mv | AT valeroj attractorsofreactiondiffusionequationswithnonmonotonenonlinearity |