John Wiley & Sons Continuous Functions Cover This book is the second of a set dedicated to the mathematical tools used in partial differential eq.. Product #: 978-1-78630-010-2 Regular price: $144.86 $144.86 In Stock

Continuous Functions

Simon, Jacques

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1. Edition November 2020
272 Pages, Hardcover
Wiley & Sons Ltd

ISBN: 978-1-78630-010-2
John Wiley & Sons

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This book is the second of a set dedicated to the mathematical tools used in partial differential equations derived from physics. It presents the properties of continuous functions, which are useful for solving partial differential equations, and, more particularly, for constructing distributions valued in a Neumann space. The author examines partial derivatives, the construction of primitives, integration and the weighting of value functions in a Neumann space. Many of them are new generalizations of classical properties for values in a Banach space. Simple methods, semi-norms, sequential properties and others are discussed, making these tools accessible to the greatest number of students - doctoral students, postgraduate students - engineers and researchers, without restricting or generalizing the results.

Jacques Simon is Honorary Research Director at CNRS. His research focuses on Navier-Stokes equations, particularly in shape optimization and in the functional spaces they use.