Nonexplosion and solvability of nonlinear diffusion equations on noncompact manifolds
We find sufficient conditions on coefficients of diffusion equation on noncompact manifold, that guarantee non-explosion of solutions in a finite time. This property leads to the existence and uniqueness of solutions for corresponding stochastic differential equation with globally non-Lipschitz coef...
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| Published in: | Український математичний журнал |
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| Date: | 2007 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2007
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| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/172504 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Nonexplosion and solvability of nonlinear diffusion equations on noncompact manifolds / A.Val. Antoniouk, A.Vict. Antoniouk // Український математичний журнал. — 2007. — Т. 59, № 11. — С. 1454–1472. — Бібліогр.: 13 назв. — англ. |