TY  - JOUR
A1  - Klein, Markus
A1  - Leonard, Christian
A1  - Rosenberger, Elke
T1  - Agmon-type estimates for a class of jump processes
JF  - Mathematische Nachrichten
N2  - In the limit 0 we analyse the generators H of families of reversible jump processes in Rd associated with a class of symmetric non-local Dirichlet-forms and show exponential decay of the eigenfunctions. The exponential rate function is a Finsler distance, given as solution of a certain eikonal equation. Fine results are sensitive to the rate function being C2 or just Lipschitz. Our estimates are analogous to the semiclassical Agmon estimates for differential operators of second order. They generalize and strengthen previous results on the lattice Zd. Although our final interest is in the (sub)stochastic jump process, technically this is a pure analysis paper, inspired by PDE techniques.
KW  - Decay of eigenfunctions
KW  - semiclassical Agmon estimate
KW  - Finsler distance
KW  - jump process
KW  - Dirichlet-form
Y1  - 2014
U6  - https://doi.org/10.1002/mana.201200324
SN  - 0025-584X
SN  - 1522-2616
VL  - 287
IS  - 17-18
SP  - 2021
EP  - 2039
PB  - Wiley-VCH
CY  - Weinheim
ER  -