On the Foundations of Nonlinear Generalized Functions I and II

Released on by Michael Grosser
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  • On the Foundations of Nonlinear Generalized Functions I and II Book Detail

  • Author : Michael Grosser
  • Release Date : 2001
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 113
  • ISBN 13 : 0821827294
  • File Size : 35,35 MB
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On the Foundations of Nonlinear Generalized Functions I and II by Michael Grosser PDF Summary

Book Description: In part 1 of this title the authors construct a diffeomorphism invariant (Colombeau-type) differential algebra canonically containing the space of distributions in the sense of L. Schwartz. Employing differential calculus in infinite dimensional (convenient) vector spaces, previous attempts in this direction are unified and completed. Several classification results are achieved and applications to nonlinear differential equations involving singularities are given.

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$h$-Principles and Flexibility in Geometry

$h$-Principles and Flexibility in Geometry

File Size : 55,55 MB
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The notion of homotopy principle or $h$-principle is one of the key concepts in an elegant language developed by Gromov to deal with a host of questions in geom