Distributions Espaces De Sobolev
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Distributions Espaces De Sobolev
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Author : Marie-Thérèse Lacroix-Sonrier
language : fr
Publisher: Ellipses Marketing
Release Date : 1998
Distributions Espaces De Sobolev written by Marie-Thérèse Lacroix-Sonrier and has been published by Ellipses Marketing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Differential calculus categories.
Distributions Sobolev Spaces Elliptic Equations
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Author : Dorothee Haroske
language : en
Publisher: European Mathematical Society
Release Date : 2007
Distributions Sobolev Spaces Elliptic Equations written by Dorothee Haroske and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
It is the main aim of this book to develop at an accessible, moderate level an $L_2$ theory for elliptic differential operators of second order on bounded smooth domains in Euclidean n-space, including a priori estimates for boundary-value problems in terms of (fractional) Sobolev spaces on domains and on their boundaries, together with a related spectral theory. The presentation is preceded by an introduction to the classical theory for the Laplace-Poisson equation, and some chapters provide required ingredients such as the theory of distributions, Sobolev spaces and the spectral theory in Hilbert spaces. The book grew out of two-semester courses the authors have given several times over a period of ten years at the Friedrich Schiller University of Jena. It is addressed to graduate students and mathematicians who have a working knowledge of calculus, measure theory and the basic elements of functional analysis (as usually covered by undergraduate courses) and who are seeking an accessible introduction to some aspects of the theory of function spaces and its applications to elliptic equations.
Theory Of Distributions
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Author : Svetlin G. Georgiev
language : en
Publisher: Springer
Release Date : 2015-07-13
Theory Of Distributions written by Svetlin G. Georgiev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-13 with Mathematics categories.
This book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differential geometry and topology. This presents specific difficulties to those studying this field. This book, which consists of 10 chapters, is suitable for upper undergraduate/graduate students and mathematicians seeking an accessible introduction to some aspects of the theory of distributions. It can also be used for one-semester course.
Distributions
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Author : J.J. Duistermaat
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-09
Distributions written by J.J. Duistermaat and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-09 with Mathematics categories.
This textbook is an application-oriented introduction to the theory of distributions, a powerful tool used in mathematical analysis. The treatment emphasizes applications that relate distributions to linear partial differential equations and Fourier analysis problems found in mechanics, optics, quantum mechanics, quantum field theory, and signal analysis. The book is motivated by many exercises, hints, and solutions that guide the reader along a path requiring only a minimal mathematical background.
Distributions Sobolev Spaces Elliptic Equations
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Author : DOROTHEE D. HAROSKE; HANS TRIEBEL.
language : en
Publisher:
Release Date :
Distributions Sobolev Spaces Elliptic Equations written by DOROTHEE D. HAROSKE; HANS TRIEBEL. and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Distributions Espaces De Sobolev Produit De Convolution Et Transformation De Fourier
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Author : Charles Goulaouic
language : fr
Publisher:
Release Date : 1979
Distributions Espaces De Sobolev Produit De Convolution Et Transformation De Fourier written by Charles Goulaouic and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.
Th Orie Des Distributions Espaces De Sobolev Probl Mes Variationnels
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Author : Khelifa Zizi
language : fr
Publisher:
Release Date : 1993
Th Orie Des Distributions Espaces De Sobolev Probl Mes Variationnels written by Khelifa Zizi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
A First Course In Sobolev Spaces
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Author : Giovanni Leoni
language : en
Publisher: American Mathematical Society
Release Date : 2024-04-17
A First Course In Sobolev Spaces written by Giovanni Leoni and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-17 with Mathematics categories.
This book is about differentiation of functions. It is divided into two parts, which can be used as different textbooks, one for an advanced undergraduate course in functions of one variable and one for a graduate course on Sobolev functions. The first part develops the theory of monotone, absolutely continuous, and bounded variation functions of one variable and their relationship with Lebesgue–Stieltjes measures and Sobolev functions. It also studies decreasing rearrangement and curves. The second edition includes a chapter on functions mapping time into Banach spaces. The second part of the book studies functions of several variables. It begins with an overview of classical results such as Rademacher's and Stepanoff's differentiability theorems, Whitney's extension theorem, Brouwer's fixed point theorem, and the divergence theorem for Lipschitz domains. It then moves to distributions, Fourier transforms and tempered distributions. The remaining chapters are a treatise on Sobolev functions. The second edition focuses more on higher order derivatives and it includes the interpolation theorems of Gagliardo and Nirenberg. It studies embedding theorems, extension domains, chain rule, superposition, Poincaré's inequalities and traces. A major change compared to the first edition is the chapter on Besov spaces, which are now treated using interpolation theory.
Distributions
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Author :
language : fr
Publisher: Ed. Techniques Ingénieur
Release Date :
Distributions written by and has been published by Ed. Techniques Ingénieur this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Theory Of Function Spaces
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Author : Hans Triebel
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-20
Theory Of Function Spaces written by Hans Triebel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-20 with Science categories.
The book deals with the two scales Bsp,q and Fsp,q of spaces of distributions, where ‐∞s∞ and 0p,q≤∞, which include many classical and modern spaces, such as Hölder spaces, Zygmund classes, Sobolev spaces, Besov spaces, Bessel-potential spaces, Hardy spaces and spaces of BMO-type. It is the main aim of this book to give a unified treatment of the corresponding spaces on the Euclidean n-space Rsubn