Abstract
After quite a bit work, much more than just preliminary, we can now deal with multiscale analysis. As we remark in our brief historical outline in Section 3.1, this tool was introduced in this context in the landmark paper [70] by Fröhlich and Spencer. Since then it has been simplified substantially and used a great deal, but still it is not at all trivial. However it is worth the effort. That this powerful method has applications in different areas can be seen in the work of Bourgain [17, 18] on nonlinear partial differential equations. We now state the main ideas of the present chapter. To see the dependence with the results from Chapter 2 displayed graphically, take a look at Figure 2.0.1 above and Figure 3.0.1 below.
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© 2001 Springer Science+Business Media New York
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Stollmann, P. (2001). Multiscale Analysis. In: Caught by Disorder. Progress in Mathematical Physics, vol 20. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0169-4_3
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DOI: https://doi.org/10.1007/978-1-4612-0169-4_3
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6644-0
Online ISBN: 978-1-4612-0169-4
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