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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 variation
Bramble–Hilbert lemma
Caccioppoli set
Cantor function
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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
Michael Borghese
,
R. Jenkins
,
K. Mclaughlin
Annales de l'Institut Henri Poincare. Analyse non…
2016
Corpus ID: 119634502
2016
2016
Complexity theory for spaces of integrable functions
Florian Steinberg
Log. Methods Comput. Sci.
2016
Corpus ID: 10179576
This paper investigates second-order representations in the sense of Kawamura and Cook for spaces of integrable functions that…
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2014
2014
A modified weak Galerkin finite element method for a class of parabolic problems
Fuzheng Gao
,
Xiaoshen Wang
Journal of Computational and Applied Mathematics
2014
Corpus ID: 45205262
Highly Cited
2014
Highly Cited
2014
Stein Unbiased GrAdient estimator of the Risk (SUGAR) for Multiple Parameter Selection
C. Deledalle
,
S. Vaiter
,
M. Fadili
,
G. Peyré
SIAM Journal of Imaging Sciences
2014
Corpus ID: 1874522
Algorithms to solve variational regularization of ill-posed inverse problems usually involve operators that depend on a…
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Highly Cited
2011
Highly Cited
2011
The Flow Associated to Weakly Differentiable Vector Fields: Recent Results and Open Problems
L. Ambrosio
2011
Corpus ID: 7167742
We illustrate some recent developments of the theory of flows associated to weakly differentiable vector fields, listing the…
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2011
2011
Hardy-Sobolev Spaces Decomposition in Signal Analysis
P. Dang
,
Tao Qian
,
Zhong You
2011
Corpus ID: 59362187
Some fundamental formulas and relations in signal analysis are based on the amplitude-phase representations s(t)=A(t)eiφ(t) and…
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Highly Cited
2008
Highly Cited
2008
The Variational Approach to Fracture
B. Bourdin
,
G. Francfort
,
J. Marigo
2008
Corpus ID: 120498253
1 Introduction 2 Going variational 2.1 Griffith's theory 2.2 The 1-homogeneous case - A variational equivalence 2.3 Smoothness…
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2008
2008
Weakly Differentiable Mappings between Manifolds
P. Hajłasz
,
T. Iwaniec
,
J. Malý
,
J. Onninen
2008
Corpus ID: 121800747
Introduction Preliminaries concerning manifolds Examples Some classes of functions Smooth approximation ${\mathcal L}^1…
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1999
1999
A theory of discretization for nonlinear evolution inequalities applied to parabolic Signorini problems
C. Carstensen
,
J. Gwinner
1999
Corpus ID: 49258019
We present a discretization theory for a class of nonlinear evolution inequalities that encompasses time dependent monotone…
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Highly Cited
1995
Highly Cited
1995
Quasilinear elliptic equations with VMO coefficients
D. Palagachev
1995
Corpus ID: 53983539
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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