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Functional Spaces for the Theory of Elliptic Partial Differential Equations by Françoise Demengel, Gilbert Demengel (auth.) is a nonfiction available to read on EtoBox.

What is Functional Spaces for the Theory of Elliptic Partial Differential Equations about?

Annotation The theory of elliptic boundary problems is fundamental in analysis and the role of spaces of weakly differentiable functions (also called Sobolev spaces) is essential in this theory as a tool for analysing the regularity of the solutions. This book offers on the one hand a complete theory of Sobolev spaces, which are of fundamental importance for elliptic linear and non-linear differential equations, and explains on the other hand how the abstract methods of convex analysis can be combined with this theory to produce existence results for the solutions of non-linear elliptic boundary problems. The book also considers other kinds of functional spaces which are useful for treating variational problems such as the minimal surface problem. The main purpose of the book is to provide a tool for graduate and postgraduate students interested in partial differential equations, as well as a useful reference for researchers active in the field. Prerequisites include a knowledge of classical analysis, differential calculus, Banach and Hilbert spaces, integration and the related standard functional spaces, as well as the Fourier transformation on the Schwartz space. There are comple

Who reads Functional Spaces for the Theory of Elliptic Partial Differential Equations?

Author

Françoise Demengel, Gilbert Demengel (auth.)

Publisher

Springer-Verlag London

Published

2012

Language

EN

ISBN

9781447128076

Category

nonfiction

Subjects

Mathematics, Stem