Necessary and sufficient conditions for global-in-time existence of solutions of ordinary, stochastic, and parabolic differential equations.
Gliklikh, Yuri E. (2006)
Abstract and Applied Analysis
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Gliklikh, Yuri E. (2006)
Abstract and Applied Analysis
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Gliklikh, Yuri E., Morozova, Lora A. (2004)
International Journal of Mathematics and Mathematical Sciences
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David Applebaum (1992)
Séminaire de probabilités de Strasbourg
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Richard W. R. Darling, Yves Le Jan (1988)
Séminaire de probabilités de Strasbourg
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Alexander Shnirelman (1999-2000)
Séminaire Équations aux dérivées partielles
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S.V. Azarina, Yu.E. Gliklikh (2007)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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We introduce and investigate a new sort of stochastic differential inclusions on manifolds, given in terms of mean derivatives of a stochastic process, introduced by Nelson for the needs of the so called stochastic mechanics. This class of stochastic inclusions is ideologically the closest one to ordinary differential inclusions. For inclusions with forward mean derivatives on manifolds we prove some results on the existence of solutions.
Annibale Magni (2015)
Geometric Flows
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We study the gradient flow of the L2−norm of the second fundamental form for smooth immersions of two-dimensional surfaces into compact Riemannian manifolds. By analogy with the results obtained in [10] and [11] for the Willmore flow, we prove lifespan estimates in terms of the L2−concentration of the second fundamental form of the initial data and we show the existence of blowup limits. Under special condition both on the initial data and on the target manifold, we prove a long time...
Rémi Léandre (2005)
SORT
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We give a generalization in the non-compact case to various positivity theorems obtained by Malliavin Calculus in the compact case.
Alexander Shnirelman (1999)
Journées équations aux dérivées partielles
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In the existing stability theory of steady flows of an ideal incompressible fluid, formulated by V. Arnold, the stability is understood as a stability with respect to perturbations with small in vorticity. Nothing has been known about the stability under perturbation with small energy, without any restrictions on vorticity; it was clear that existing methods do not work for this (the most physically reasonable) class of perturbations. We prove that in fact, every nontrivial steady...
V. M. Soundalgekar (1971)
Matematički Vesnik
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