On ground state of some non local Schrodinger operators
Kondratiev, Yuri
Kondratiev
Yuri
Molchanov, Stanislav
Molchanov
Stanislav
Pirogov, Sergey
Pirogov
Sergey
Zhizhina, Elena
Zhizhina
Elena
We study a ground state of some non-local Schrodinger operator associated with an evolution equation for the density of population in the stochastic contact model in continuum with inhomogeneous mortality rates. We found a new effect in this model, when even in the high-dimensional case the existence of a small positive perturbation of a special form (so-called, small paradise) implies the appearance of the ground state. We consider the problem in the Banach space of bounded continuous functions C-b(R-d) and in the Hilbert space L-2(R-d).
96
8
1390-1400
1390-1400
Taylor & Francis Ltd
2017