Nonuniqueness of weak solutions to the Navier-Stokes equation
T Buckmaster, V Vicol - Annals of Mathematics, 2019 - projecteuclid.org
For initial datum of finite kinetic energy, Leray has proven in 1934 that there exists at least
one global in time finite energy weak solution of the 3D Navier-Stokes equations. In this …
one global in time finite energy weak solution of the 3D Navier-Stokes equations. In this …
[图书][B] Analysis in Banach spaces
Over the past fifteen years, motivated by regularity problems in evolution equations, there
has been tremendous progress in the analysis of Banach space-valued functions and …
has been tremendous progress in the analysis of Banach space-valued functions and …
[图书][B] An invitation to compressive sensing
This first chapter formulates the objectives of compressive sensing. It introduces the
standard compressive problem studied throughout the book and reveals its ubiquity in many …
standard compressive problem studied throughout the book and reveals its ubiquity in many …
[图书][B] Quantum information theory
MM Wilde - 2013 - books.google.com
Finally, here is a modern, self-contained text on quantum information theory suitable for
graduate-level courses. Developing the subject'from the ground up'it covers classical results …
graduate-level courses. Developing the subject'from the ground up'it covers classical results …
[图书][B] Variable Lebesgue spaces: Foundations and harmonic analysis
DV Cruz-Uribe, A Fiorenza - 2013 - books.google.com
This book provides an accessible introduction to the theory of variable Lebesgue spaces.
These spaces generalize the classical Lebesgue spaces by replacing the constant exponent …
These spaces generalize the classical Lebesgue spaces by replacing the constant exponent …
A mathematical theory of deep convolutional neural networks for feature extraction
T Wiatowski, H Bölcskei - IEEE Transactions on Information …, 2017 - ieeexplore.ieee.org
Deep convolutional neural networks (DCNNs) have led to breakthrough results in numerous
practical machine learning tasks, such as classification of images in the ImageNet data set …
practical machine learning tasks, such as classification of images in the ImageNet data set …
[图书][B] The Navier-Stokes problem in the 21st century
PG Lemarié-Rieusset - 2018 - taylorfrancis.com
Up-to-Date Coverage of the Navier–Stokes Equation from an Expert in Harmonic Analysis
The complete resolution of the Navier–Stokes equation—one of the Clay Millennium Prize …
The complete resolution of the Navier–Stokes equation—one of the Clay Millennium Prize …
[HTML][HTML] Neural network with unbounded activation functions is universal approximator
This paper presents an investigation of the approximation property of neural networks with
unbounded activation functions, such as the rectified linear unit (ReLU), which is the new de …
unbounded activation functions, such as the rectified linear unit (ReLU), which is the new de …
[图书][B] Lebesgue and Sobolev spaces with variable exponents
The field of variable exponent function spaces has witnessed an explosive growth in recent
years. The standard reference article for basic properties is already 20 years old. Thus this …
years. The standard reference article for basic properties is already 20 years old. Thus this …
[图书][B] Morrey spaces: introduction and applications to integral operators and PDE's, Volume I
Y Sawano - 2020 - taylorfrancis.com
Title: Morrey spaces: introduction and applications to integral operators and PDE's/Yoshihiro
Sawano, Giuseppe Di Fazio, Denny Ivanal Hakim. Description: First edition.| Boca Raton …
Sawano, Giuseppe Di Fazio, Denny Ivanal Hakim. Description: First edition.| Boca Raton …