A Nonlinear Theory of Generalized Functions (Lecture Notes in Mathematics 1421)

Biagioni, Hebe de Azevedo

ISBN 10: 3540524088 / ISBN 13: 9783540524083

Editore: Springer, 1990

*Price HAS BEEN REDUCED by 10% until Monday, Aug. 11 (weekend SALE item)* 232 pp., Paperback, previous owner's name to bottom edge of pages, rear endpaper and title page else text clean & binding tight. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Codice articolo ZB1238907

Riassunto:

This book provides a simple introduction to a nonlinear theory of generalized functions introduced by J.F. Colombeau, which gives a meaning to any multiplication of distributions. This theory extends from pure mathematics (it presents a faithful generalization of the classical theory of C? functions and provides a synthesis of most existing multiplications of distributions) to physics (it permits the resolution of ambiguities that appear in products of distributions), passing through the theory of partial differential equations both from the theoretical viewpoint (it furnishes a concept of weak solution of pde's leading to existence-uniqueness results in many cases where no distributional solution exists) and the numerical viewpoint (it introduces new and efficient methods developed recently in elastoplasticity, hydrodynamics and acoustics). This text presents basic concepts and results which until now were only published in article form. It is in- tended for mathematicians but, since the theory and applications are not dissociated it may also be useful for physicists and engineers. The needed prerequisites for its reading are essentially reduced to the classical notions of differential calculus and the theory of integration over n-dimensional euclidean spaces.

Contenuti: Generalized functions on an open subset of En.- Generalized functions on an arbitrary subset of En.- Generalized solutions of nonlinear partial differential equations.

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Titolo: A Nonlinear Theory of Generalized Functions ...
Casa editrice: Springer
Data di pubblicazione: 1990
Legatura: Brossura
Condizione: Very Good