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.
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.
Prisen for levering afhænger af typen af dit medlemskab, eller om du ikke har et medlemskab.
Hvis du ikke har et medlemsskab er priserne som følger:
Levering til pakkeshop | 39,95 kr. pr. ordre |
Hjemmelevering | 59,90 kr. pr. ordre |
Med et guldmedlemsskab er leveringspriserne:
Levering til pakkeshop. Ordrer under 250 kr. | 34,95 kr. pr. ordre |
Levering til pakkeshop. Ordrer over 250 kr. | 24,95 kr. pr. ordre |
Hjemmelevering. Ordrer under 250 kr. | 59,90 kr. pr. ordre |
Hjemmelevering. Ordrer over 250 kr. | 49,90 kr. pr. ordre |
Med et plating- eller streaming medlemsskab er leveringspriserne:
Levering til pakkeshop. Ordrer under 250 kr. | 24,95 kr. pr. ordre |
Levering til pakkeshop. Ordrer over 250 kr. | 0 kr. pr. ordre |
Hjemmelevering. Ordrer under 250 kr. | 44,90 kr. pr. ordre |
Hjemmelevering. Ordrer over 250 kr. | 19,95 kr. pr. ordre |
Bemærk venligst, at vi forbeholder os retten til at ændre i et fragtbeløb efter ordreafgivelse, hvis man som kunde har opnået en særlig fragtpris pga. køb for over 250 kr. og efterfølgende retter i sin ordre, så ordrebeløbet kommer under 250 kr. Ovenstående fragtpriser for ordrer under 250 kr. vil i så fald være gældende.
Levering
Varerne sendes indenfor 1-6 hverdage. Den konkrete leveringstid står oplyst ved hver enkelt vare. Levering sker med PostNord eller DAO distribution. Vi leverer kun i Danmark og ikke til Grønland og Færøerne.
Vær opmærksom på, at DAO ofte leverer om natten, og at der ikke skal kvitteres for modtagelse af pakken fra DAO. Hvis ikke DAO kan levere pakken forsvarligt ved dør eller i postkasse,
vil pakken i stedet blive leveret til nærmeste pakkeshop, også selvom du har betalt for hjemmelevering.