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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| Date: | 2008 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2008
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| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/124261 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |