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The Calculus of Parameter-Dependent Operators

  • Gerd Grubb
Chapter
Part of the Progress in Mathematics book series (PM, volume 65)

Abstract

The next two chapters contain the full machinery of the parameter-dependent calculus, which is developed ir. order to give a convenient framework for the study of resolvents and evolution problems and other problems with an unbounded parameter. To demonstrate the usefulness of the systematic point of view, we have inserted Examples 2.1.23 and 2.2.14, where some “hand” calculations in connectior. with the simple pseudodifferential operator
$$ P + {\mu ^2} = \frac{{D_{{x_1}}^4 + D_{{x_2}}^4}}{{D_{{x_1}}^2 + D_{{x_2}}^2}} + {\mu ^2} $$
are attempted.

Keywords

Transmission Condition Trace Operator Principal Symbol Symbol Space Symbol Class 
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

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Gerd Grubb
    • 1
  1. 1.Københavns Universitets Matematiske InstitutKøbenhavn ØDenmark

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