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- Bony–Brezis_theorem abstract "In mathematics, the Bony–Brezis theorem, due to the French mathematicians Jean-Michel Bony and Haïm Brezis, gives necessary and sufficient conditions for a closed subset of a manifold to be invariant under the flow defined by a vector field, namely at each point of the closed set the vector field must have non-positive inner product with any exterior normal vector to the set. A vector is an exterior normal at a point of the closed set if there is a real-valued continuously differentiable function maximized locally at the point with that vector as its derivative at the point. If the closed subset is a smooth submanifold with boundary, the condition states that the vector field should not point outside the subset at boundary points. The generalization to non-smooth subsets is important in the theory of partial differential equations.The theorem had in fact been previously discovered by Mitio Nagumo in 1942 and is also known as the Nagumo theorem.".
- Bony–Brezis_theorem wikiPageID "39082282".
- Bony–Brezis_theorem wikiPageLength "4970".
- Bony–Brezis_theorem wikiPageOutDegree "13".
- Bony–Brezis_theorem wikiPageRevisionID "654497821".
- Bony–Brezis_theorem wikiPageWikiLink Category:Dynamical_systems.
- Bony–Brezis_theorem wikiPageWikiLink Category:Manifolds.
- Bony–Brezis_theorem wikiPageWikiLink Category:Ordinary_differential_equations.
- Bony–Brezis_theorem wikiPageWikiLink Flow_(mathematics).
- Bony–Brezis_theorem wikiPageWikiLink Haïm_Brezis.
- Bony–Brezis_theorem wikiPageWikiLink Integral_curve.
- Bony–Brezis_theorem wikiPageWikiLink Lipschitz_continuity.
- Bony–Brezis_theorem wikiPageWikiLink Lipschitz_continuous.
- Bony–Brezis_theorem wikiPageWikiLink Manifold.
- Bony–Brezis_theorem wikiPageWikiLink Mathematics.
- Bony–Brezis_theorem wikiPageWikiLink One-sided_derivatives.
- Bony–Brezis_theorem wikiPageWikiLink Partial_differential_equation.
- Bony–Brezis_theorem wikiPageWikiLink Semi-differentiability.
- Bony–Brezis_theorem wikiPageWikiLink Vector_field.
- Bony–Brezis_theorem wikiPageWikiLinkText "Bony–Brezis theorem".
- Bony–Brezis_theorem hasPhotoCollection Bony–Brezis_theorem.
- Bony–Brezis_theorem wikiPageUsesTemplate Template:Citation.
- Bony–Brezis_theorem wikiPageUsesTemplate Template:Harvtxt.
- Bony–Brezis_theorem wikiPageUsesTemplate Template:Orphan.
- Bony–Brezis_theorem subject Category:Dynamical_systems.
- Bony–Brezis_theorem subject Category:Manifolds.
- Bony–Brezis_theorem subject Category:Ordinary_differential_equations.
- Bony–Brezis_theorem comment "In mathematics, the Bony–Brezis theorem, due to the French mathematicians Jean-Michel Bony and Haïm Brezis, gives necessary and sufficient conditions for a closed subset of a manifold to be invariant under the flow defined by a vector field, namely at each point of the closed set the vector field must have non-positive inner product with any exterior normal vector to the set.".
- Bony–Brezis_theorem label "Bony–Brezis theorem".
- Bony–Brezis_theorem sameAs m.0swmqly.
- Bony–Brezis_theorem sameAs Q17003600.
- Bony–Brezis_theorem sameAs Q17003600.
- Bony–Brezis_theorem wasDerivedFrom Bony–Brezis_theorem?oldid=654497821.
- Bony–Brezis_theorem isPrimaryTopicOf Bony–Brezis_theorem.