TY  - INPR
A1  - Klein, Markus
A1  - Léonard, Christian
A1  - Rosenberger, Elke
T1  - Agmon-type estimates for a class of jump processes
N2  - In the limit we analyze the generators of families of reversible jump processes in the n-dimensional space 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 certain eikonal equation. Fine results are sensitive to the rate functions being twice differentiable or just Lipschitz. Our estimates are similar to the semiclassical Agmon estimates for differential operators of second order. They generalize and strengthen previous results on the lattice.
T3  - Preprints des Instituts für Mathematik der Universität Potsdam - 1 (2012) 6 
KW  - finsler distance
KW  - decay of eigenfunctions
KW  - jump process
KW  - Dirichlet form
Y1  - 2012
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-56995
ER  -