WKB analysis to global solvability and hypoellipticity
نویسندگان
چکیده
منابع مشابه
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We consider a first order linear partial differential operator of principal type on a closed connected orientable two-dimensional manifold sending sections of one complex line bundle to sections of another. We prove that the assumption of global hypoellipticity of the operator implies a relation between the degrees of the line bundles and the Euler characteristic of the manifold.
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 1995
ISSN: 0034-5318
DOI: 10.2977/prims/1195164049