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Springer Sobolev Spaces - Mathematical Analysis Textbook

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Description

Sobolev spaces play an outstanding role in modern analysis, particularly within the theory of partial differential equations and mathematical physics. This volume from the Grundlehren der mathematischen Wissenschaften series (342) serves as an indispensable tool for researchers and students working in approximation theory, spectral theory, and differential geometry. The text explores the theory of these spaces as a beautiful domain of mathematics in its own right. This comprehensive work covers essential basics including Sobolev spaces, approximation and extension theorems, and embedding and compactness theorems. It further examines their relations with isoperimetric and isocapacitary inequalities, as well as capacities with applications to spectral theory. It is a vital resource for those studying advanced mathematical analysis and its applications to elliptic partial differential equations.

Key Features

This Springer publication provides a deep look into Sobolev spaces and their applications to elliptic partial differential equations.

The text covers fundamental concepts such as approximation and extension theorems for mathematical analysis.

Readers can explore embedding and compactness theorems alongside their relations with isoperimetric and isocapacitary inequalities.

This volume serves as a key resource for studying capacities and their specific applications to spectral theory.

Part of the Grundlehren der mathematischen Wissenschaften series, volume 342, offering specialized mathematical knowledge.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
23 August 2016
Listed Since
23 June 2016

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