Nonlinear Theory of Generalized Functions

1st Edition

Michael Oberguggenberger, Michael Grosser, Michael Kunzinger, Gunther Hormann

Chapman and Hall/CRC
Published March 16, 1999
Reference - 400 Pages
ISBN 9780849306495 - CAT# LM0649
Series: Chapman & Hall/CRC Research Notes in Mathematics Series

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Summary

Questions regarding the interplay of nonlinearity and the creation and propagation of singularities arise in a variety of fields-including nonlinear partial differential equations, noise-driven stochastic partial differential equations, general relativity, and geometry with singularities. A workshop held at the Erwin-Schrödinger International Institute for Mathematical Physics in Vienna investigated these questions and culminated in this volume of invited papers from experts in the fields of nonlinear partial differential equations, structure theory of generalized functions, geometry and general relativity, stochastic partial differential equations, and nonstandard analysis.

The authors provide the latest research relevant to work in partial differential equations, mathematical physics, and nonlinear analysis. With a focus on applications, this books provides a compilation of recent approaches to the problem of singularities in nonlinear models. The theory of differential algebras of generalized functions serves as the central theme of the project, along with its interrelations with classical methods.

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