Skip to search formSkip to main content
You are currently offline. Some features of the site may not work correctly.

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
Wikipedia

Related topics

Related topics

12 relations
Bounded variationBramble–Hilbert lemmaCaccioppoli setCantor function
Expand

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
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… Expand
  • figure 3
  • figure 4
  • figure 5
  • figure 6
Highly Cited
2015
Highly Cited
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
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… Expand
  • figure 1
  • figure 2
  • figure 4
  • figure 5
  • table 1
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… Expand
  • figure 1
  • figure 2
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… Expand
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… Expand
  • figure 2.1
  • figure 2.2
  • figure 2.3
  • figure 2.4
  • figure 2.5
2008
2008
Weakly Differentiable Mappings between Manifolds
Introduction Preliminaries concerning manifolds Examples Some classes of functions Smooth approximation ${\mathcal L}^1… Expand
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… Expand
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
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… Expand
By clicking accept or continuing to use the site, you agree to the terms outlined in our Privacy Policy, Terms of Service, and Dataset License
ACCEPT & CONTINUE