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Results tagged with ap.analysis-of-pdes
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user 116825
Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.
3
votes
Is every continuous microlocal operator a pseudo-differential operator?
I do not remember how to prove the general statement I mentioned about gluing operators on ⟦-∞,0] and [0,∞⟧ which match on ∞-Jets
at 0; neither can I prove micro-locality of the operator I described i …
- 455
3
votes
Is every continuous microlocal operator a pseudo-differential operator?
Not really an answer: but you do realize how many different notions of a ΨDO are there? So pick up one of them, and the example would not be a ΨDO in the sense of another definition.
BTW: AFAIK, the …
- 455
4
votes
Is every continuous microlocal operator a pseudo-differential operator?
Preliminaries
Averaging arguments show that the question boils down to taking convolutions. So one needs to find a generalized function F smooth
outside of 0 such that the Fourier transform ℱF(ξ) do …
- 455