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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 coe...

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Bibliographic Details
Date:	2007
Main Authors:	Antoniouk, A. Val., Antoniouk, A. Vict., Антонюк, О. Вал., Антонюк, О. Вік.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2007
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3404
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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