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£109.19

Springer Singularly Perturbed Boundary Value Problems: A Functional Analytic Approach

Name: Singularly Perturbed Boundary Value Problems: A Functional Analytic Approach
Brand: Springer
Price: 109.19 GBP
Availability: InStock

Sd-bo01

Differential Equations

About as cheap as it gets. The only time it was cheaper was 7 months ago.

£109 today · all-time low £106 (Nov 2025) · usually the usual

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Description

This book is devoted to the analysis of the basic boundary value problems for the Laplace equation in singularly perturbed domains. The main purpose is to illustrate a method called Functional Analytic Approach, to describe the dependence of the solutions upon a singular perturbation parameter in terms of analytic functions. Here the focus is on domains with small holes and the perturbation parameter is the size of the holes. The book is the first introduction to the topic and covers the theoretical material and its applications to a series of problems that range from simple illustrative examples to more involved research results. The Functional Analytic Approach makes constant use of the integral representation method for the solutions of boundary value problems, of Potential Theory, of the Theory of Analytic Functions both in finite and infinite dimension, and of Nonlinear Functional Analysis. Designed to serve various purposes and readerships, the extensive introductory part spanning Chapters 1–7 can be used as a reference textbook for graduate courses on classical Potential Theory and its applications to boundary value problems. The early chapters also contain results that are rarely presented in the literature and may also, therefore, attract the interest of more expert readers. The exposition moves on to introduce the Functional Analytic Approach. A reader looking for a quick introduction to the method can find simple illustrative examples specifically designed for this purpose. More expert readers will find a comprehensive presentation of the Functional Analytic Approach, which allows a comparison between the approach of the book and the more classical expansion methods of Asymptotic Analysis and offers insights on the specific features of the approach and its applications to linear and nonlinear boundary value problems.

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Product Specifications

Brand: Springer
Colour: Sd-bo01
Size: 2' X 9'
Format: paperback
ASIN: 3030762610
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Release Date: 06 October 2022
Listed Since: 15 August 2020

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Springer Singularly Perturbed Boundary Value Problems: A Functional Analytic Approach

About as cheap as it gets. The only time it was cheaper was 7 months ago.

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