Analytic Hypoellipticity in the Presence of Lower Order Terms
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منابع مشابه
Analytic Hypoellipticity in the Presence of Lower Order Terms
We consider a second order operator with analytic coefficients whose principal symbol vanishes exactly to order two on a symplectic real analytic manifold. We assume that the first (non degenerate) eigenvalue vanishes on a symplectic submanifold of the characteristic manifold. In the C∞ framework this situation would mean a loss of 3/2 derivatives (see [5]). We prove that this operator is analy...
متن کاملABSTRACTS BOOK Analytic hypo-ellipticity in the presence of lower order terms
S BOOK Analytic hypo-ellipticity in the presence of lower order terms Paolo Albano University of Bologna, Italy It is well known that the hypoellipticity of a partial differential operator heavily depends on the lower order terms, both in the C∞ and in the analytic category. We consider a second order operator with analytic coefficients whose principal symbol vanishes exactly of order two on a ...
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A linear partial differential operator, L, is said to be globally analytic hypoelliptic on some real analytic manifold M without boundary if, for any u ∈ D′(M) such that Lu ∈ C(M), one has u ∈ C(M). It is of some interest to determine under what circumstances this property holds, especially for sums of squares of vector fields satisfying the bracket hypothesis of Hörmander, and for related oper...
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ژورنال
عنوان ژورنال: Communications in Partial Differential Equations
سال: 2007
ISSN: 0360-5302,1532-4133
DOI: 10.1080/03605300601112995