@article{KleinLeonardRosenberger2014, author = {Klein, Markus and Leonard, Christian and Rosenberger, Elke}, title = {Agmon-type estimates for a class of jump processes}, series = {Mathematische Nachrichten}, volume = {287}, journal = {Mathematische Nachrichten}, number = {17-18}, publisher = {Wiley-VCH}, address = {Weinheim}, issn = {0025-584X}, doi = {10.1002/mana.201200324}, pages = {2021 -- 2039}, year = {2014}, abstract = {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.}, language = {en} }