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Nonlinear Theory of Generalized Functions Book PDF 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.

Detail Book of Nonlinear Theory of Generalized Functions PDF

Nonlinear Theory of Generalized Functions
  • Author : Michael Oberguggenberger
  • Release : 16 March 1999
  • Publisher : CRC Press
  • ISBN : 0849306493
  • Genre : Mathematics
  • Total Page : 396 pages
  • Language : English
  • PDF File Size : 13,9 Mb

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Nonlinear Theory of Generalized Functions

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This book presents recent and very elementary developments of a theory of multiplication of distribu...