On ground state of non local Schrödinger operators . ∗
نویسندگان
چکیده
We study a ground state of a non local Schrödinger 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 Cb(R d) and in the Hilbert space L2(Rd).
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