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15
votes
Applications of microlocal analysis?
Although microlocal analysis was developed originally exclusively for linear problems, it has played an increasingly important role in nonlinear PDE via what's known as paradifferential calculus. Ther …
3
votes
Characteristic Variety of the Principal Symbol solves PDE system?
Let me elaborate a little about what Robert wrote. When analyzing a system of PDE's, there are two separate issues that need to be considered. Below, I'll assume that you want to study the space of sm …