Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591382 | Journal of Functional Analysis | 2010 | 23 Pages |
Abstract
Motivated by the celebrated example of Y. Kannai of a linear partial differential operator which is hypoelliptic but not locally solvable, we consider a class of evolution operators with real-analytic coefficients and study their local solvability both in L2 and in the weak sense. In order to do so we are led to propose a generalization of the Nirenberg–Treves condition (ψ) which is suitable to our study.
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