lipschitz vector field：Lipschitz continuity
Lipschitz continuity
Inmathematicalanalysis,Lipschitzcontinuity,namedafterGermanmathematicianRudolfLipschitz,isastrongformofuniformcontinuityforfunctions.。其他文章還包含有：「decompositionofl2」、「DeterminingLipschitzconstantforaspecialvectorfield」、「Existenceanduniquenessforthetransportofcurrentsby...」、「Poincaré」、「realanalysis」、「Theflowboxtheoremfordivergence」、「Vector」、「[1606.05486]OnLipschitzv...
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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.
Poincaré
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1. Introduction and statement of the result. The Poincaré inequality is one of the main tools in the proof of regularity of solutions of PDEs in divergence ...
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, ...