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Results tagged with micro-local-analysis
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user 114164
3
votes
2
answers
334
views
Reference for commutator estimate
I'm interested in Sobolev space estimates for commutators involving a pseudodifferential operator and a Fourier multiplier. More specifically, suppose $p = p(x,\xi) \in S_{1,0}^{m_1}$ and let $q = q(\ …
- 683
21
votes
1
answer
2k
views
Algebraic microlocal analysis and nonlinear PDE
Though originating in the study of linear partial differential equations, microlocal analysis has become an invaluable tool in the study of nonlinear pde. Of particular importance has been the applica …
- 683
4
votes
0
answers
58
views
Conditions ensuring that the paraproduct remainder is well-defined
In short, my question is: are there conditions that one can impose on two tempered distributions $u$ and $v$ that will guarantee that the paraproduct remainder $R(u,v)$ is well-defined and is "weaker" …
- 683