lipschitz vector field：Poincaré
Poincaré
由GCitti著作·2016·被引用11次—1.Introductionandstatementoftheresult.ThePoincaréinequalityisoneofthemaintoolsintheproofofregularityofsolutionsofPDEsindivergence ...。其他文章還包含有：「decompositionofl2」、「DeterminingLipschitzconstantforaspecialvectorfield」、「Existenceanduniquenessforthetransportofcurrentsby...」、「Lipschitzcontinuity」、「realanalysis」、「Theflowboxtheoremfordivergence」...
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decomposition of l2
http://www-sop.inria.fr
Hereby a vector field is expressed as the sum of two harmonic gradients (one ... these questions for Lipschitz surfaces and vector fields of L2-class. This ...
Determining Lipschitz constant for a special vector field
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I want to determine a good Lipschitz constant for this vector field, i.e. find L such that for all x,y∈C we have ‖v(x)−v(y)‖≤L‖x−y‖.
Existence and uniqueness for the transport of currents by ...
https://arxiv.org
Existence and uniqueness for the transport of currents by Lipschitz vector fields. Authors:Paolo Bonicatto, Giacomo Del Nin, Filip Rindler.
Lipschitz continuity
https://en.wikipedia.org
In mathematical analysis, Lipschitz continuity, named after German mathematician Rudolf Lipschitz, is a strong form of uniform continuity for functions.
real analysis
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My problem is i don't know how Lipschitz continuity works for vector functions. I am planning to show lipschitz continuity component-wise.
The flowbox theorem for divergence
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We say that a Lipschitz vector field X is divergence-free if ∇ ⋅ X = 0 for ν-a.e. x ∈ M . We denote this set by X ν 0 , 1 ( M ) .
Vector
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We now turn to the extension of the basic concepts of real-valued functions of one real variable, such as Lipschitz continuity and differentiability, to vector- ...
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[1606.05486] On Lipschitz vector fields and the Cauchy ...
https://arxiv.org
Abstract:We introduce a class of Lipschitz horizontal vector fields in homogeneous groups, for which we show equivalent descriptions, ...