C∞-regularity of non-Lipshitz heat semigroups on noncompact Riemannian manifolds

• Date: 2008
• Main Author: Antoniouk, A.Val.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/124261
• 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.

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...