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.
Tra l'Emilia e la Toscana, tra i territori del Frignano e della Garfagnana, si articola un suggestivo concatenamento di gobbe, selle, cime, passi, una giogaia rocciosa costituita da alcune delle più significative vette dell'Appennino settentrionale. Si tratta del crinale, fondamentale riferimento orografico da cui si dipartono a pettine una serie di creste secondarie che declinano verso la pianura, come sinuose schiere di primordiali, immense creature dalla pelle coriacea, impressa dalle ere e concrezionata dal tempo. Scopri attraverso questo libro i luoghi e le genti del crinale tosco-emiliano, tra storia ed escursionismo.
Das neue Buch Vereinigte Staaten von Europa: Hoffnung, Alptraum, Utopie" ist im Villa Vigoni Editore | Verlag erschienen. Der Sammelband wird herausgegeben von Christiane Liermann Traniello (Generalsekretärin, Villa Vigoni), Matteo Scotto (Wissenschaftlicher Referent, Villa Vigoni) und Julian Stefenelli (Justiziar, Villa Vigoni).Seit Winston Churchills berühmter Züricher Rede im Jahr 1946 hat die Idee der Vereinigten Staaten von Europa den politischen Diskurs nie wirklich verlassen. Jedoch ist man sich hierzu nie ganz einig: mal ist es ein Modell, von dem man sich distanzieren sollte oder will, manchmal scheint es eine Vision, die man anstrebt, und andere sehen diese Vision lediglich in Ermangelung von Alternativen. Der Sammelband beschäftigt sich genau mit diesen Visionen in drei Kapiteln: "Überlegungen zu den gegenwärtigen Staaten", "Europäische Einheit" und "Überlegungen zueiner gemeinsamen politischen Vision des heutigen Europas
Lemuri impauriti, opossum innamorati, scimmie che si perdono. Ma anche nobili decaduti e detective dall'aria risoluta. Sono solo alcuni tra i tanti personaggi che popolano questa brillante raccolta di racconti umoristici.
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