Applications to the Solutions of Analytic Linear PDEs

  • André Martinez
Part of the Universitext book series (UTX)


The purpose of this chapter is to apply the results of the previous sections for finding out many microlocal properties of the L 2-solutions of partial differential equations of the type
$$P(x,h{D_x})u = 0,$$
where \(P = \sum\limits_{|a| \leqslant m} {{a_\alpha }} (x)(h{D_x})\alpha \) has analytic coefficients. In particular, properties of localization and propagation are given for the microsupport MS(u) when u is normalized by \(||u|{|_{{L^2}}} = 1\).


Pseudo Differential Operator Partial Differential Operator Hamilton Flow Schrodinger Operator Egorov Theorem 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • André Martinez
    • 1
  1. 1.Department of MathematicsUniversity of BolognaBolognaItaly

Personalised recommendations