| Description |
1 online resource. |
| Series |
Mathematics and statistics series. Analysis for PDEs set ; volume 3 |
|
Mathematics and statistics series (ISTE)
|
|
Analysis for PDEs set ; v. 3.
|
| Bibliography |
Includes bibliographical references and index. |
| Summary |
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 Fréchet 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. |
| Subject |
Theory of distributions (Functional analysis)
|
|
Théorie des distributions (Analyse fonctionnelle) |
|
Theory of distributions (Functional analysis) |
| Other Form: |
Print version: 1786305259 9781786305251 (OCoLC)1337524951 |
| ISBN |
9781394165346 (electronic bk.) |
|
139416534X (electronic bk.) |
|
9781394165360 electronic book |
|
1394165366 electronic book |
|
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