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...
Gespeichert in:
| Datum: | 2008 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2008
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/124261 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862706350597865472 |
|---|---|
| author | Antoniouk, A.Val. |
| author_facet | Antoniouk, A.Val. |
| 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. |
| collection | DSpace DC |
| 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.
|
| first_indexed | 2025-12-07T16:58:47Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-124261 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0236-0497 |
| language | English |
| last_indexed | 2025-12-07T16:58:47Z |
| publishDate | 2008 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Antoniouk, A.Val. 2017-09-23T09:44:51Z 2017-09-23T09:44:51Z 2008 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 https://nasplib.isofts.kiev.ua/handle/123456789/124261 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. en Інститут прикладної математики і механіки НАН України C∞-regularity of non-Lipshitz heat semigroups on noncompact Riemannian manifolds Article published earlier |
| spellingShingle | C∞-regularity of non-Lipshitz heat semigroups on noncompact Riemannian manifolds Antoniouk, A.Val. |
| title | 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_short | C∞-regularity of non-Lipshitz heat semigroups on noncompact Riemannian manifolds |
| title_sort | c∞-regularity of non-lipshitz heat semigroups on noncompact riemannian manifolds |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/124261 |
| work_keys_str_mv | AT antonioukaval cregularityofnonlipshitzheatsemigroupsonnoncompactriemannianmanifolds |