Titlebook: Geometric Theory of Generalized Functions with Applications to General Relativity; Michael Grosser,Michael Kunzinger,Roland Steinbaue Book

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Book 2001ace. Originating in infinite dimensional analysis and initially applied mainly to problems in nonlinear partial differential equations involving singularities, the theory has undergone a change both in in- ternal structure and scope of applicability, due to a growing number of applications to questi

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,Colombeau’s Theory of Generalized Functions,artial differential equations. Over the past five decades, numerous publications have contributed to an elaborate solution concept for such equations. As an example we mention the Malgrange-Ehrenpreis theorem showing that any constant coefficient linear PDE possesses a fundamental solution within th

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Diffeomorphism Invariant Colombeau Theory, considerable simplification concerning the definition of the ideal N. After envisaging sheaf-theoretic properties of G.(Ω) and some applications, we discuss a family of related algebras to highlight the general constraints for constructing diffeomorphism invariant full Colombeau algebras. Let us an

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Book 2001t by now several excellent mono- graphs on Colombeau algebras are available, we have decided to give a self-contained introduction to the field in Chapter 1. Our motivation for this decision derives from two main features of our approach. On the one hand, in contrast to other treatments of the subje

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e fact that by now several excellent mono- graphs on Colombeau algebras are available, we have decided to give a self-contained introduction to the field in Chapter 1. Our motivation for this decision derives from two main features of our approach. On the one hand, in contrast to other treatments of the subje978-90-481-5880-5978-94-015-9845-3

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Geometric Theory of Generalized Functions with Applications to General Relativity

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