Artículos relacionados a Integration

Integration - Tapa dura

Simon, Jacques

 
9781786300133: Integration
Tapa dura
ISBN 10: 1786300133 ISBN 13: 9781786300133
Editorial: ISTE Ltd and John Wiley & Sons Inc, 2026

Sinopsis

This book presents a simple and novel theory of integration, both real and vectorial, particularly suitable for the study of PDEs. This theory allows for integration with values in a Neumann space E, i.e. in which all Cauchy sequences converge, encompassing Neumann and Fréchet spaces, as well as "weak" spaces and distribution spaces.

We integrate "integrable measures", which are equivalent to "classes of integrable functions which are a.e. equals" when E is a Fréchet space. More precisely, we associate the measure f with a class f, where f(u) is the integral of fu for any test function u. The classic space Lp(Ω;E) is the set of f, and ours is the set of f; these two spaces are isomorphic.

Integration studies, in detail, for any Neumann space E, the properties of the integral and of Lp(Ω;E): regularization, image by a linear or multilinear application, change of variable, separation of multiple variables, compacts and duals. When E is a Fréchet space, we study the equivalence of the two definitions and the properties related to dominated convergence.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Jacques Simon is Director Emeritus of Research at the CNRS, France. His research focuses on partial differential equations, particularly on the spaces used by these equations and on shape optimization.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
ISTE Ltd and John Wiley & Sons Inc
Año de publicación
2026
Idioma
Inglés
ISBN 10 
1786300133
ISBN 13 
9781786300133
Encuadernación
Tapa dura
Número de páginas
448
Contacto del fabricante
WROX
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