Distributions. Sobolev Spaces

  • J. L. Nowinski
Part of the Mathematical Concepts and Methods in Science and Engineering book series (MCSENG, volume 22)


We conclude this book with a glimpse at the means available for treating some unorthodox situations encountered in various areas of physics and engineering, in particular, in dynamics, electromagnetism, quantum field theory, and optimization. We here have in mind problems in which such classical requirements as the regularity and differentiability of functions, convergence of series, and smoothness of boundary conditions cannot be maintained, but must be relaxed, either in part or completely. This happens most frequently when we are concerned with temporal impulses (i.e., high intensity actions of very short duration), localized (concentrated) forces and couples acting on structural systems, point sources of various kinds, point masses, point charges, and finally, supports along lines or at isolated points.


Weak Solution Sobolev Space Distributional Sense Ordinary Sense Distributional Derivative 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Plenum Press, New York 1981

Authors and Affiliations

  • J. L. Nowinski
    • 1
  1. 1.University of DelawareNewarkUSA

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