Resonances for Obstacles in Hyperbolic Space
نویسندگان
چکیده
منابع مشابه
Resonances for Obstacles in Hyperbolic Space
We consider scattering by star-shaped obstacles in hyperbolic space and show that resonances satisfy a universal bound Imλ ≤ − 2 which is optimal in dimension 2. In odd dimensions we also show that Imλ ≤ −μρ for a universal constant μ, where ρ is the (hyperbolic) diameter of the obstacle; this gives an improvement for small obstacles. In dimensions 3 and higher the proofs follow the classical v...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2017
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-017-3051-2