scholarly journals Random Times for Markov Processes with Killing

2021 ◽  
Vol 5 (4) ◽  
pp. 254
Author(s):  
Yuri G. Kondratiev ◽  
José Luís da Silva
Keyword(s):  
Markov Processes ◽  
Schrödinger Operators ◽  
Random Time ◽  
Schrodinger Operators ◽  
Time Behavior ◽  
Non Local ◽  
Time Changes ◽  
Random Times

We consider random time changes in Markov processes with killing potentials. We study how random time changes may be introduced in these Markov processes with killing potential and how these changes may influence their time behavior. As applications, we study the parabolic Anderson problem, the non-local Schrödinger operators as well as the generalized Anderson problem.

On ground state of some non local Schrödinger operators

2016 ◽  
Vol 96 (8) ◽  
pp. 1390-1400 ◽  
Author(s):  
Yuri Kondratiev ◽  
Stanislav Molchanov ◽  
Sergey Pirogov ◽  
Elena Zhizhina
Keyword(s):  
Ground State ◽  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Non Local

scholarly journals Harnack Inequality for Non-Local Schrödinger Operators

2017 ◽  
Vol 48 (4) ◽  
pp. 515-551
Author(s):  
Siva Athreya ◽  
Koushik Ramachandran
Keyword(s):  
Harnack Inequality ◽  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Non Local

scholarly journals Contractivity and ground state domination properties for non-local Schrödinger operators

2018 ◽  
Vol 8 (1) ◽  
pp. 165-189 ◽  
Author(s):  
Kamil Kaleta ◽  
Mateusz Kwaśnicki ◽  
József Lőrinczi
Keyword(s):  
Ground State ◽  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Non Local ◽  
State Domination

scholarly journals Higher order eigenvalues for non-local Schrödinger operators

2018 ◽  
Vol 17 (1) ◽  
pp. 191-208 ◽  
Author(s):  
Niels Jacob ◽  
◽  
Feng-Yu Wang ◽  
◽  
Keyword(s):  
Schrödinger Operators ◽  
Higher Order ◽  
Schrodinger Operators ◽  
Non Local

scholarly journals Random time change and related evolution equations. Time asymptotic behavior

2019 ◽  
Vol 20 (05) ◽  
pp. 2050034
Author(s):  
Anatoly N. Kochubei ◽  
Yuri G. Kondratiev ◽  
José L. da Silva
Keyword(s):  
Asymptotic Behavior ◽  
Asymptotic Analysis ◽  
Evolution Equations ◽  
Random Time ◽  
Asymptotic Behavior Of Solutions ◽  
Kolmogorov Equations ◽  
Random Time Change ◽  
Time Changes ◽  
Random Times ◽  
Time Asymptotic Behavior

In this paper, we investigate the time asymptotic behavior of solutions to fractional in time evolution equations which appear as results of random time changes in Markov processes. We consider inverse subordinators as random times and use the subordination principle for the solutions to forward Kolmogorov equations. The classes of subordinators for which asymptotic analysis may be realized are described.

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