
Distributions
J Simon(Author)
ISTE Ltd (Publisher)
1st Edition
Published on 8. November 2022
Book
Hardback
416 pages
978-1-78630-525-1 (ISBN)
Description
This book presents a simple and original theory of distributions, both real and vector, adapted to the study of partial differential equations. It deals with value distributions in a Neumann space, that is, in which any Cauchy suite converges, which encompasses the Banach and Frechet spaces and the same "weak" spaces. Alongside the usual operations - derivation, product, variable change, variable separation, restriction, extension and regularization - Distributions presents a new operation: weighting.
This operation produces properties similar to those of convolution for distributions defined in any open space. Emphasis is placed on the extraction of convergent sub-sequences, the existence and study of primitives and the representation by gradient or by derivatives of continuous functions. Constructive methods are used to make these tools accessible to students and engineers.
This operation produces properties similar to those of convolution for distributions defined in any open space. Emphasis is placed on the extraction of convergent sub-sequences, the existence and study of primitives and the representation by gradient or by derivatives of continuous functions. Constructive methods are used to make these tools accessible to students and engineers.
More details
Product info
HC gerader Rücken kaschiert
Language
English
Place of publication
London
United Kingdom
Target group
Professional and scholarly
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 26 mm
Weight
771 gr
ISBN-13
978-1-78630-525-1 (9781786305251)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
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Person
Jacques Simon is Emeritus Research Director at CNRS, France. His research focuses on the Navier-Stokes equations, particularly in shape optimization and in the functional spaces they use.