C∞-regularity of non-Lipshitz heat semigroups on noncompact Riemannian manifolds
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
C∞-regularity of non-Lipshitz heat semigroups on noncompact Riemannian manifolds
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| Creator |
Antoniouk, A.Val.
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| 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.
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| Date |
2017-09-23T09:44:51Z
2017-09-23T09:44:51Z 2008 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Publisher |
Інститут прикладної математики і механіки НАН України
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