= Microlocal analysis
{wiki=Microlocal_analysis}
Microlocal analysis is a branch of mathematical analysis that studies the properties of partial differential equations (PDEs) by examining their behavior at a more refined level than the traditional pointwise analysis. Specifically, it involves analyzing solutions and their singularities in both the spatial and frequency (or oscillatory) domains. The main tools of microlocal analysis include: 1. **Wavefront Sets**: The wavefront set of a distribution captures both its singularities and the directions of those singularities.
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