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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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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
This paper investigates second-order representations in the sense of Kawamura and Cook for spaces of integrable functions that… Expand
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Highly Cited
2015
Highly Cited
2015
We investigate well-posedness for martingale solutions of stochastic differential equations, under low regularity assumptions on… Expand
Highly Cited
2014
Highly Cited
2014
Algorithms to solve variational regularization of ill-posed inverse problems usually involve operators that depend on a… Expand
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Highly Cited
2011
Highly Cited
2011
We illustrate some recent developments of the theory of flows associated to weakly differentiable vector fields, listing the… Expand
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2011
2011
Some fundamental formulas and relations in signal analysis are based on the amplitude-phase representations s(t)=A(t)eiφ(t) and… Expand
Highly Cited
2008
Highly Cited
2008
1 Introduction 2 Going variational 2.1 Griffith's theory 2.2 The 1-homogeneous case - A variational equivalence 2.3 Smoothness… Expand
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2008
2008
Introduction Preliminaries concerning manifolds Examples Some classes of functions Smooth approximation ${\mathcal L}^1… Expand
1999
1999
We present a discretization theory for a class of nonlinear evolution inequalities that encompasses time dependent monotone… Expand
1998
1998
We give characterizations of the distributional derivatives D1,1, D1,0, D0,1 of functions of two variables of locally finite… Expand
Highly Cited
1995
Highly Cited
1995
Strong solvability and uniqueness in Sobolev space W2'"(Cl) are proved for the Dirichlet problem \a'J(x, u)Djju + b(x, u, Du) = 0… Expand