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 Oblique Boundary Value Problems and Limit Formulae of Potential Theory. An Analysis Motivated by Geomathematical Problems
Наименование:

Oblique Boundary Value Problems and Limit Formulae of Potential Theory. An Analysis Motivated by Geomathematical Problems

автор Thomas R. B. издательство Книга по Требованию Операционные системы: общие вопросы, администрирование, программирование
Cтраниц 140        мягкая обложка       
Аннотация:Here we search for harmonic functions satisfying certain boundary conditions. We start with the problem for bounded domains solving a weak formulation for inhomogeneities in Sobolev spaces. Moreover Stochastic inhomogeneities, a Ritz Galerkin approximation and some examples are provided. In this book we provide weak solutions to oblique boundary problems for very general coefficients, surfaces and inhomogeneities. Often this is a condition on the derivative in direction of the gravity vector. Going to unbounded domains, we use the Kelvin transformation to get a corresponding bounded problem. This book deals with two main subjects which are of interest in the field of geomathematics. The achievement is the convergence in Sobolev norms, which we use in order to prove the density of several geomathematical function systems in Sobolev spaces, e. g. the spherical harmonics. We prove the formulae in several norms. Thus an oblique boundary problem occurs, because the gravity vector is not the normal vector of the earths surface. The limit formulae are strongly related to boundary problems of potential theory, because they can be used to construct harmonic functions.
Автор: Thomas R. B.
Издательство: Книга по Требованию
Год:2009
Цена:
3214 руб
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Поиск: Oblique Boundary Value Problems and Limit Formulae of Potential Theory. An Analysis Motivated by Geomathematical Problems
НОВЫЙ ГОД СИМВОЛ 2013 ГОДАУКРАШЕНИЯ
КАРНАВАЛ НА НОВЫЙ ГОД РАСПРОДАЖА
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