C∞-regularity of non-Lipshitz heat semigroups on noncompact Riemannian manifolds
We obtain the applications of approach [2, 5, 6] to the high order regularity of solutions to the parabolic Cauchy problem with globally non-Lipschitz coeffcients growing at the in nity of a noncompact manifold. In comparison to [2], where the semigroup properties were studied by application of nonl...
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| Дата: | 2008 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
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Інститут прикладної математики і механіки НАН України
2008
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| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/124261 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | C∞-regularity of non-Lipshitz heat semigroups on noncompact Riemannian manifolds / A.Val. Antoniouk // Нелинейные граничные задачи. — 2008. — Т. 18. — С. 174-194. — Бібліогр.: 13 назв. — англ. |
Репозитарії
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irk-123456789-1242612017-09-24T03:03:15Z C∞-regularity of non-Lipshitz heat semigroups on noncompact Riemannian manifolds Antoniouk, A.Val. We obtain the applications of approach [2, 5, 6] to the high order regularity of solutions to the parabolic Cauchy problem with globally non-Lipschitz coeffcients growing at the in nity of a noncompact manifold. In comparison to [2], where the semigroup properties were studied by application of nonlinear estimates on variations with use of local arguments of [11], i.e. for manifolds with the C² metric distance function, the developed below approach works for the general noncompact manifold with possible non-unique geodesics between distant points. 2008 Article C∞-regularity of non-Lipshitz heat semigroups on noncompact Riemannian manifolds / A.Val. Antoniouk // Нелинейные граничные задачи. — 2008. — Т. 18. — С. 174-194. — Бібліогр.: 13 назв. — англ. 0236-0497 MSC (2000): 35K05, 47J20, 53B21, 58J35, 60H07, 60H10,60H30 http://dspace.nbuv.gov.ua/handle/123456789/124261 en Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We obtain the applications of approach [2, 5, 6] to the high order regularity of solutions to the parabolic Cauchy problem with globally non-Lipschitz coeffcients growing at the in nity of a noncompact manifold. In comparison to [2], where the semigroup properties were studied by application of nonlinear estimates on variations with use of local arguments of [11], i.e. for manifolds with the C² metric distance function, the developed below approach works for the general noncompact manifold with possible non-unique geodesics between distant points. |
| format |
Article |
| author |
Antoniouk, A.Val. |
| spellingShingle |
Antoniouk, A.Val. C∞-regularity of non-Lipshitz heat semigroups on noncompact Riemannian manifolds |
| author_facet |
Antoniouk, A.Val. |
| author_sort |
Antoniouk, A.Val. |
| title |
C∞-regularity of non-Lipshitz heat semigroups on noncompact Riemannian manifolds |
| title_short |
C∞-regularity of non-Lipshitz heat semigroups on noncompact Riemannian manifolds |
| title_full |
C∞-regularity of non-Lipshitz heat semigroups on noncompact Riemannian manifolds |
| title_fullStr |
C∞-regularity of non-Lipshitz heat semigroups on noncompact Riemannian manifolds |
| title_full_unstemmed |
C∞-regularity of non-Lipshitz heat semigroups on noncompact Riemannian manifolds |
| title_sort |
c∞-regularity of non-lipshitz heat semigroups on noncompact riemannian manifolds |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/124261 |
| citation_txt |
C∞-regularity of non-Lipshitz heat semigroups on noncompact Riemannian manifolds / A.Val. Antoniouk // Нелинейные граничные задачи. — 2008. — Т. 18. — С. 174-194. — Бібліогр.: 13 назв. — англ. |
| work_keys_str_mv |
AT antonioukaval cregularityofnonlipshitzheatsemigroupsonnoncompactriemannianmanifolds |
| first_indexed |
2023-10-18T20:46:02Z |
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2023-10-18T20:46:02Z |
| _version_ |
1796151055376973824 |