Semi-bounded restrictions of Dirac type operators and the unique continuation property
نویسندگان
چکیده
منابع مشابه
the investigation of the relationship between type a and type b personalities and quality of translation
چکیده ندارد.
Collapsing and Dirac-type Operators
We analyze the limit of the spectrum of a geometric Dirac-type operator under a collapse with bounded diameter and bounded sectional curvature. In the case of a smooth limit space B, we show that the limit of the spectrum is given by the spectrum of a certain first-order differential operator on B, which can be constructed using superconnections. In the case of a general limit space X , we expr...
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We prove that, if a sufficiently smooth solution u to the initial value problem associated with the equation ∂t u+ iα∂2 xu+ β∂3 xu+ iγ |u|2u+ δ|u|∂xu+ u∂xu= 0, x, t ∈R, is supported in a half line at two different instants of time then u≡ 0. To prove this result we derive a new Carleman type estimate by extending the method introduced by Kenig et al. in [Ann. Inst. H. Poincaré Anal. Non Linéair...
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ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 2001
ISSN: 0926-2245
DOI: 10.1016/s0926-2245(01)00056-0