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Weak derivative

Known as: Weakly Differentiable 
In mathematics, a weak derivative is a generalization of the concept of the derivative of a function (strong derivative) for functions not assumed… Expand
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Related topics

Related topics

12 relations
Bounded variationBramble–Hilbert lemmaCaccioppoli setCantor function
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
Quadratic Lyapunov functions for stability analysis in fractional-order systems with not necessarily differentiable solutions
Abstract Solutions of fractional-order differintegral equations are generally not necessarily integer-order differentiable… Expand
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2015
2015
Well-posedness of Multidimensional Diffusion Processes with Weakly Differentiable Coefficients
We investigate well-posedness for martingale solutions of stochastic differential equations, under low regularity assumptions on… Expand
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2013
2013
Covariance matrices and valuations
A complete classification of SL(n) covariant matrix-valued valuations on functions with finite second moments is obtained. It is… Expand
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2010
2010
Invertibility of Sobolev mappings under minimal hypotheses
Abstract We prove a version of the Inverse Function Theorem for continuous weakly differentiable mappings. Namely, a nonconstant… Expand
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Review
2009
Review
2009
The Flow Associated to Weakly Differentiable Vector Fields
The aim of this book is to provide a self-contained introduction and an up-to-date survey on many aspects of the theory of… Expand
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2003
2003
On the Composition of Differentiable Functions
We prove that a Banach space $X$ has the Schur property if and only if every $X$-valued weakly differentiable function is Fr… Expand
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1999
1999
A sharp version of Zhang's theorem on truncating sequences of gradients
Let K ⊂ Rmn be a compact and convex set of m×n matrices and let {uj} be a sequence in W 1,1 loc (Rn;Rm) that converges to K in… Expand
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1998
1998
Distributional derivatives of functions of two variables of finite variation and their application to an impulsive hyperbolic equation
We give characterizations of the distributional derivatives D1,1, D1,0, D0,1 of functions of two variables of locally finite… Expand
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1994
1994
Interpolation by Weakly Differentiable Functions on Banach-Spaces
Let (a(n)) be a weakly null Schauder basis of a Banach space E, and let (lambda(n)) be a convergent sequence of real numbers. We… Expand
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Highly Cited
1938
Highly Cited
1938
On integration in vector spaces
Introduction. Several authors ([3]-[10], inclusive; [15])t have already given generalized Lebesgue integrals for functions x(s… Expand
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