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Results tagged with pseudo-differential-operators
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user 477714
This tag is for questions regarding to the Pseudo-differential operator, acting on a space of functions on a differentiable manifold, that can locally be described by definite rules using a certain function. It satisfies estimates for the derivatives analogous to the estimates for derivatives of polynomials, which are symbols of differential operators.
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Reference for commutator estimate
Given your assumptions on $p$ and $q$, $[Op(p),Op(q)]\in S^{m_1+m_2-1}_{1,0}.$ Given any $A\in OPS^m_{\rho,\delta}$ with $0\leq\delta<\rho\leq 1$, one has that $A:H^s\rightarrow H^{s-m}$ boundedly (fo …
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