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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… 
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Related topics

Related topics

12 relations
Bounded variationBramble–Hilbert lemmaCaccioppoli setCantor function

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2016
Highly Cited
2016
Long time asymptotic behavior of the focusing nonlinear Schrödinger equation
2016
2016
Complexity theory for spaces of integrable functions
This paper investigates second-order representations in the sense of Kawamura and Cook for spaces of integrable functions that… 
2014
2014
A modified weak Galerkin finite element method for a class of parabolic problems
Highly Cited
2014
Highly Cited
2014
Stein Unbiased GrAdient estimator of the Risk (SUGAR) for Multiple Parameter Selection
Algorithms to solve variational regularization of ill-posed inverse problems usually involve operators that depend on a… 
Highly Cited
2011
Highly Cited
2011
The Flow Associated to Weakly Differentiable Vector Fields: Recent Results and Open Problems
We illustrate some recent developments of the theory of flows associated to weakly differentiable vector fields, listing the… 
2011
2011
Hardy-Sobolev Spaces Decomposition in Signal Analysis
Some fundamental formulas and relations in signal analysis are based on the amplitude-phase representations s(t)=A(t)eiφ(t) and… 
Highly Cited
2008
Highly Cited
2008
The Variational Approach to Fracture
1 Introduction 2 Going variational 2.1 Griffith's theory 2.2 The 1-homogeneous case - A variational equivalence 2.3 Smoothness… 
2008
2008
Weakly Differentiable Mappings between Manifolds
Introduction Preliminaries concerning manifolds Examples Some classes of functions Smooth approximation ${\mathcal L}^1… 
1999
1999
A theory of discretization for nonlinear evolution inequalities applied to parabolic Signorini problems
We present a discretization theory for a class of nonlinear evolution inequalities that encompasses time dependent monotone… 
Highly Cited
1995
Highly Cited
1995
Quasilinear elliptic equations with VMO coefficients
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… 
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