Title: Some Boundary Value Problems of Dirichlet’s Type
Abstract: The aim of Chapter 4 consists in the study of problems of mathematical physics of various kinds by the methods of quaternionic analysis. Many mathematicians have dealt with this subject, but up to now it has not been possible to consider it in such a self-contained form. An application of the quaternionic analysis enables us to formulate a unified approach for solving all questions arising in the consideration of boundary value problems. Therefore treatment is carried out in a well-defined order (existence of a solution, uniqueness, representation of the solution, regularity). A corresponding quaternionic numerical mathematics is given in Chapter 5.KeywordsWeak SolutionLinear ElasticitySingular Integral OperatorStoke ProblemUnique SolvabilityThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Publication Year: 1989
Publication Date: 1989-01-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
Access and Citation
Cited By Count: 2
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot